阅读说明：本技术 一种三反射镜紧缩场天线测量系统及结构和参数确定方法 (Three-reflector compact range antenna measurement system, structure and parameter determination method ) 是由 姚远 俞俊生 于海洋 李峙 陈雨晴 张亮 陈晓东 于 2021-07-01 设计创作，主要内容包括：本发明实施例提供了一种三反射镜紧缩场天线测量系统及其结构和参数确定方法,该系统中,馈源被设置在方向移动装置上,主反射镜大小、曲率固定,两赋形副反射镜均是凹凸性可调的赋形反射镜,其参数以及各反射镜之间的几何关系,基于等效抛物面理论和波束模式展开理论确定,馈源发出的电磁波经第一赋形副反射镜、第二赋形副反射镜及主反射镜反射,形成出射场。本发明实施例提供的三反射镜紧缩场天线测量系统,通过调整方向移动装置使得馈源发出的电磁波辐射方向灵活可调,且两赋形副反射镜的参数以及各个反射镜之间的几何位置关系,可以基于等效抛物面理论和波束模式展开理论计算确定,使得三反射镜紧缩场天线测量系统具有较高的几何设计自由度。(The embodiment of the invention provides a three-reflector compact range antenna measuring system and a structure and parameter determination method thereof. According to the three-reflector compact range antenna measuring system provided by the embodiment of the invention, the radiation direction of electromagnetic waves emitted by the feed source is flexibly adjustable by adjusting the direction moving device, and the parameters of the two shaping auxiliary reflectors and the geometric position relation among the reflectors can be calculated and determined based on an equivalent paraboloid theory and a beam mode expansion theory, so that the three-reflector compact range antenna measuring system has higher geometric design freedom.)

1. A three-mirror compact range antenna measurement system, comprising: the device comprises a direction moving device, a feed source, a main reflecting mirror, a first forming auxiliary reflecting mirror and a second forming auxiliary reflecting mirror;

the feed source is arranged on the direction moving device and used for generating electromagnetic waves;

the direction moving device is used for driving the feed source to move so as to adjust the radiation direction of the electromagnetic wave;

the main reflector is a curved mirror with a fixed mirror surface size and fixed curvature parameters;

the first shaped secondary reflector and the second shaped secondary reflector are shaped reflectors with adjustable concavity and convexity, and each shaped reflector is composed of irregular surface points;

the curved surface form, the concave-convex property and the mutual geometric position relation between the reflectors of the first shaped secondary reflector and the second shaped secondary reflector are determined by calculation based on an equivalent paraboloid theory and a beam mode expansion theory in advance;

the electromagnetic wave sent by the feed source is reflected to a second shaping auxiliary reflector through a first shaping auxiliary reflector, the second shaping auxiliary reflector reflects the electromagnetic wave to the main reflector, and the electromagnetic wave reflected by the main reflector is emitted as a plane electromagnetic wave to generate a system emergent field;

the electromagnetic wave beams between the first shaping auxiliary reflecting mirror and the second shaping auxiliary reflecting mirror are approximately parallel to form a Cassegrain reflecting form;

and the electromagnetic wave beams between the second forming secondary reflector and the main reflector are converged in a specific area to form a Gregory reflection form.

2. The system of claim 1, wherein:

the main reflector is a reflector with a rectangular caliber.

3. The system of claim 1, wherein:

the system further includes a diffractive baffle;

the diffraction baffle is placed in the specific area and used for absorbing diffraction waves at the edge of the reflector.

4. The system of claim 1 or 3,

the specific area is as follows: a caustic region between the second shaped secondary mirror and the primary mirror.

5. A structure and parameter determination method for a three-reflector compact range antenna measurement system is characterized in that: for making structural and parametric determinations of the three-mirror compact range antenna measurement system of claim 1; the method comprises the following steps:

determining the actually required radiation direction of the feed source by moving the direction moving device for multiple times;

determining the geometric structure form of the three-reflector compact range antenna measuring system and the curved surface forms of the first shaping auxiliary reflector and the second shaping auxiliary reflector based on the equivalent paraboloid theory, the feed source radiation direction and the requirements of eliminating cross polarization components; the geometric structural form is used for representing the relative geometric position relation among the three reflectors;

solving the initial value of the free variable meeting the performance requirement of the system dead zone and the initial coordinate value of the optical center position of each reflector for the determined geometric structure form based on the beam mode expansion theory and the radiation direction of the feed source;wherein the free variables include: theta₀、α、β、l、L₀(ii) a Wherein, theta₀The included angle between the direction of the electromagnetic wave radiated by the feed source and the horizontal direction is recorded as a feed source offset angle; alpha is the included angle between the ray from the optical center of the first shaping auxiliary reflector to the optical center of the second shaping auxiliary reflector and the horizontal direction; beta is an included angle between a ray from the optical center of the second forming secondary reflector to the optical center of the main reflector and the horizontal direction; l is the length of the connecting line of the optical center of the first shaped secondary reflector and the focal point of the second shaped secondary reflector; l is₀The distance between the feed source and the optical center of the first forming secondary reflector is obtained;

determining a system mapping function according to an energy conservation principle based on the field distribution of the feed source and the expected emergent field distribution; the mapping function is used for representing the mapping relation between the feed source field angle theta and the system emergent field position radius r;

based on a dynamic wave band tracking theory, tracking and analyzing the electromagnetic waves sent by the feed source to obtain all mirror surface parameters of the shaped secondary reflector; the specular parameters include: normal vector of mirror surface, two mutually orthogonal directions of curvature of mirror surface and corresponding curvatures.

6. The method of claim 5,

the geometric structure form of the three-reflector compact range antenna measuring system and the curved surface forms of the first shaping auxiliary reflector and the second shaping auxiliary reflector are determined based on the equivalent paraboloid theory, the feed source radiation direction and the requirements of eliminating cross polarization components; the geometric form, for characterizing the relative geometric positional relationship between the three mirrors, comprises:

obtaining the radiation direction of the feed source determined by the direction moving device;

establishing an equivalent paraboloid model and an equivalent relation thereof and a first cross polarization cancellation condition for the three-reflector compact range antenna measuring system based on a conversion relation among three-reflector compact range antenna measuring systems and equivalent paraboloids thereof, the radiation direction of the feed source and the requirement that the central axis of the radiation direction of the feed source is consistent with the central axis of the equivalent paraboloid;

determining the geometric structure form of the three-reflector compact range antenna measuring system and the curved surface forms of the first shaping auxiliary reflector and the second shaping auxiliary reflector based on the radiation direction of the feed source, the equivalent parabolic model and the equivalent relation thereof and the first cross polarization cancellation condition; the geometric structural form is used for representing the relative geometric position relation between the three reflectors.

7. The method of claim 6,

the three-reflector compact range antenna measurement system and the conversion relation between the equivalent paraboloids thereof are as follows:

wherein epsilon is a feed source offset angle in the equivalent parabolic model, and theta₀For feed offset angle, theta, in the three-mirror compact range antenna measurement system₁Is the included angle theta between the connecting line of the feed source and the confocal focuses of the first and second shaped secondary reflectors and the horizontal direction₂Is the included angle between the connecting line of the confocal focus of the first and second shaped secondary reflectors and the focus of the main reflector and the horizontal direction, e is a direction vector, P_iIn the form of a curved surface, δ_iThe concave-convex characteristic of the curved surface is shown, i is a curved surface number;

the formula for the first cross-polarization cancellation condition is:

P₁＝-sign(l)

where sign is a sign function, θ₀Is a feed source offset angle; alpha is the included angle between the ray from the optical center of the first shaping auxiliary reflector to the optical center of the second shaping auxiliary reflector and the horizontal direction; beta is an included angle between a ray from the optical center of the second forming secondary reflector to the optical center of the main reflector and the horizontal direction; l is the length of the connecting line of the optical center of the first shaped secondary reflector and the focal point of the second shaped secondary reflector; l is₀The distance between the feed source and the optical center of the first forming secondary reflector is obtained;

the curved surface forms of the first shaped secondary reflector and the second shaped secondary reflector are determined as follows:

the P is_iWhen is +1, the curved surface is hyperboloid, P_iWhen the value is-1, the curved surface is an ellipse, and the value is delta_iWhen +1, the curved surface is concave, delta_iWhen the number is-1, the curved surface is convex.

8. The method of claim 5,

the step of solving the initial value of the free variable meeting the system quiet zone performance requirement and the initial coordinate value of the optical center position of each reflector for the determined geometric structure form based on the beam mode expansion theory and the feed source radiation direction comprises the following steps:

based on a beam mode expansion theory, respectively obtaining the relationship between the equivalent focal length and the reflection distance of the three reflectors, wherein the reflection distance is as follows: the distance from the incident side focal point and the reflection side focal point to the optical center position of the reflection surface; the relationship between the equivalent focal length and the reflection distance of the mirror is as follows:

wherein f is₁、f₂、f₃Respectively being the first shaping auxiliary reflector and the second shaping auxiliary reflectorEquivalent focal lengths of the secondary and primary mirrors; r_i、R_i' (i is 1,2,3) is the distance of the ray from the incident side focal point and the reflection side focal point to the corresponding mirror optical center position;

based on the radiation direction of the feed source, a beam pattern analysis method is applied to obtain a second cross polarization cancellation condition as follows:

R′₃＝∞

wherein σ 1 is 180- θ₀+ α, σ 3 ═ 180- β, σ 2 ═ σ 3+ α; l1 is the length of the ray from the optical center of the first shaping secondary reflector to the optical center of the second shaping secondary reflector, and L2 is the length of the ray from the optical center of the second shaping secondary reflector to the optical center of the main reflector; alpha is the included angle between the ray from the optical center of the first shaping auxiliary reflector to the optical center of the second shaping auxiliary reflector and the horizontal direction; beta is an included angle between a ray from the optical center of the second forming secondary reflector to the optical center of the main reflector and the horizontal direction;

obtaining an initial value of a free variable meeting the performance requirement of a system dead zone according to the relationship between the equivalent focal length and the reflection distance of the three reflectors and a second cross polarization cancellation condition;

and according to the determined geometrical structure form, obtaining initial coordinate values of the optical center positions of the reflectors based on a geometrical principle.

9. The method of claim 5,

the step of tracking and analyzing the electromagnetic wave sent by the feed source based on the dynamic wave band tracking theory to obtain all mirror surface parameters of the shaped secondary reflector comprises the following steps:

dividing the electromagnetic wave emitted by the feed source into N sub-beams according to different emission angles; the emergence angle of the sub-beam is divided according to the emergence field angle and the azimuth angle;

for each sub-beam, performing the steps of:

determining the position coordinates of reflection points of the sub-beams on the main reflector, the first forming auxiliary reflector and the second forming auxiliary reflector, and determining the normal vectors of the reflection points of the sub-beams on the first forming auxiliary reflector and the second forming auxiliary reflector according to the geometrical optics principle;

obtaining the wave front parameters between the reflecting points of the second forming secondary reflector and the reflecting points of the main reflector according to the mirror surface parameters of the main reflector and the wave front parameters of the system emergent field; the wave front parameters comprise normal vectors of the curved surfaces, two mutually orthogonal curved surface curvature directions and corresponding curvatures;

tracking the sub-beam, and obtaining a wave front parameter between the reflection point of the first shaped sub-reflector and the reflection point of the second shaped sub-reflector according to the normal vector of the reflection point of the sub-beam on the first shaped sub-reflector and the normal vector of the reflection point on the second shaped sub-reflector;

obtaining the mirror surface parameters of the reflecting points of the second shaped auxiliary reflecting mirror and the mirror surface parameters of the reflecting points of the first shaped auxiliary reflecting mirror according to the wave front parameters between the reflecting points of the main reflecting mirror and the second shaped auxiliary reflecting mirror and the wave front parameters between the reflecting points of the first shaped auxiliary reflecting mirror and the second shaped auxiliary reflecting mirror;

changing the sub-beams of the electromagnetic waves emitted by the feed source, returning to the step of determining the position coordinates of the reflecting points of the sub-beams on the main reflecting mirror, the first forming auxiliary reflecting mirror and the second forming auxiliary reflecting mirror, and determining the normal vectors of the reflecting points of the sub-beams on the first forming auxiliary reflecting mirror and the second forming auxiliary reflecting mirror according to the geometrical optics principle until the analysis of the sub-beams of all the emitted electromagnetic waves is completed.

10. The method according to claim 9, wherein the step of tracking the sub-beam to obtain the wavefront parameters between the reflection points of the first shaped sub-mirror and the second shaped sub-mirror according to the normal vector of the reflection point of the sub-beam on the first shaped sub-mirror and the normal vector of the reflection point on the second shaped sub-mirror comprises:

tracking a wave beam emitted by a feed source, and obtaining a wave band form of a starting end between a reflecting point of a first forming auxiliary reflecting mirror and a reflecting point of a second forming auxiliary reflecting mirror according to a normal vector of the reflecting point of the feed source and the first forming auxiliary reflecting mirror;

reversely tracking the electromagnetic waves according to the system mapping function, and obtaining a wave band form of the tail end between the reflecting points of the first forming auxiliary reflecting mirror and the second forming auxiliary reflecting mirror according to the wave front parameters between the reflecting points of the second forming auxiliary reflecting mirror and the main reflecting mirror and the normal vector of the reflecting points of the second forming auxiliary reflecting mirror;

and according to the propagation rule of ray wave bands, obtaining the wave front parameters between the reflecting points of the first forming auxiliary reflecting mirror and the second forming auxiliary reflecting mirror according to the wave band shape of the starting end and the wave band shape of the tail end between the reflecting points of the first forming auxiliary reflecting mirror and the second forming auxiliary reflecting mirror.

Technical Field

The invention relates to the technical field of antenna measurement, in particular to a three-reflector compact range antenna measurement system and a structure and parameter determination method of the three-reflector compact range antenna measurement system.

Background

The millimeter wave terahertz technology has wide application in the fields of astronomy, remote sensing, imaging, security inspection and the like, and accurate measurement is required to be carried out on the millimeter wave terahertz technology in order to ensure that the millimeter wave terahertz technology can work normally. However, a large-aperture antenna is generally used in the millimeter wave terahertz technology, but the conventional field measurement method is difficult to meet the far-field distance measurement condition required by the large-aperture antenna, so that a compact field antenna measurement system is generally used when a millimeter wave terahertz system is measured.

The compact range antenna measurement system is a test system which converts spherical waves emitted by a feed source into approximate plane waves finally through the focusing and transformation of a reflector, and the area of the approximate plane waves is called a dead zone. Among various compact range antenna measuring systems, the three-reflector compact range antenna measuring system is widely applied because of the advantages of no feed source shielding, small size of a shaped subreflector, low cost, high aperture utilization rate, high cross polarization isolation and the like.

Three-mirror compact range antenna test systems are typically constructed from a feed and three mirrors. In the current three-reflector compact range antenna measurement system, in order to obtain better dead zone performance, the direction of a feed source is fixed and can not be flexibly changed according to actual requirements, meanwhile, the geometric relation among three reflectors is also fixed, the focal diameter of a main reflector is large, the transverse size of the whole system is large, the construction cost and the assembly difficulty of the whole system are increased, and the geometric design freedom degree of the whole system is low.

Disclosure of Invention

The invention aims to provide a three-reflector compact antenna measuring system and a structure and parameter determination method of the three-reflector compact antenna measuring system, and the geometric design freedom of the antenna measuring system is improved. The specific technical scheme is as follows:

in one aspect of an implementation of the present invention, there is provided a three-mirror compact range antenna measurement system, the system comprising: the device comprises a direction moving device, a feed source, a main reflecting mirror, a first forming auxiliary reflecting mirror and a second forming auxiliary reflecting mirror;

the feed source is arranged on the direction moving device and used for generating electromagnetic waves;

the direction moving device is used for driving the feed source to move so as to adjust the radiation direction of the electromagnetic wave;

the main reflector is a curved mirror with a fixed mirror surface size and fixed curvature parameters;

the first shaped secondary reflector and the second shaped secondary reflector are shaped reflectors with adjustable concavity and convexity, and each shaped reflector is composed of irregular surface points;

the curved surface form, the concave-convex property and the mutual geometric position relation between the reflectors of the first shaped secondary reflector and the second shaped secondary reflector are determined by calculation based on an equivalent paraboloid theory and a beam mode expansion theory in advance;

the electromagnetic wave sent by the feed source is reflected to a second shaping auxiliary reflector through a first shaping auxiliary reflector, the second shaping auxiliary reflector reflects the electromagnetic wave to the main reflector, and the electromagnetic wave reflected by the main reflector is emitted as a plane electromagnetic wave to generate a system emergent field;

the electromagnetic wave beams between the first shaping auxiliary reflecting mirror and the second shaping auxiliary reflecting mirror are approximately parallel to form a Cassegrain reflecting form;

and the electromagnetic wave beams between the second forming secondary reflector and the main reflector are converged in a specific area to form a Gregory reflection form.

In a second aspect of the present invention, there is provided a method for determining structure and parameters of a three-reflector compact antenna measurement system, the method comprising:

determining the actually required radiation direction of the feed source by moving the direction moving device for multiple times;

determining the geometric structure form of the three-reflector compact range antenna measuring system and the curved surface forms of the first shaping auxiliary reflector and the second shaping auxiliary reflector based on the equivalent paraboloid theory, the feed source radiation direction and the requirements of eliminating cross polarization components; the geometric structural form is used for representing the relative geometric position relation among the three reflectors;

solving the initial value of the free variable meeting the performance requirement of the system dead zone and the initial coordinate value of the optical center position of each reflector for the determined geometric structure form based on the beam mode expansion theory and the radiation direction of the feed source; wherein the free variables include: theta₀、α、β、l、L₀(ii) a Wherein, theta₀The included angle between the direction of the electromagnetic wave radiated by the feed source and the horizontal direction is recorded as a feed source offset angle; alpha is the included angle between the ray from the optical center of the first shaping auxiliary reflector to the optical center of the second shaping auxiliary reflector and the horizontal direction; beta is an included angle between a ray from the optical center of the second forming secondary reflector to the optical center of the main reflector and the horizontal direction; l is the length of the connecting line of the optical center of the first shaped secondary reflector and the focal point of the second shaped secondary reflector; l is₀The distance between the feed source and the optical center of the first forming secondary reflector is obtained;

determining a system mapping function according to an energy conservation principle based on the field distribution of the feed source and the expected emergent field distribution; the mapping function is used for representing the mapping relation between the feed source field angle theta and the system emergent field position radius r;

based on a dynamic wave band tracking theory, tracking and analyzing the electromagnetic waves sent by the feed source to obtain all mirror surface parameters of the shaped secondary reflector; the specular parameters include: normal vector of mirror surface, two mutually orthogonal directions of curvature of mirror surface and corresponding curvatures.

The embodiment of the invention has the following beneficial effects:

the three-reflector compact range antenna measuring system provided by the embodiment of the invention comprises a direction moving device, a feed source, a main reflector, a first shaping auxiliary reflector and a second shaping auxiliary reflector, wherein the feed source is used for generating electromagnetic waves and is arranged on the direction moving device, the main reflector is a reflector with fixed size and curvature, the first shaping auxiliary reflector and the second shaping auxiliary reflector are shaping reflectors with adjustable concave-convex property formed by irregular surface points, the curved surface form and the concave-convex property of the two shaping auxiliary reflectors and the set relation among the reflectors are determined based on an equivalent paraboloid theory, the electromagnetic waves emitted by the feed source are reflected to the second shaping auxiliary reflector through the first shaping auxiliary reflector and then reflected to the main reflector through the second shaping auxiliary reflector, and a system emergent field can be formed after the electromagnetic waves are reflected by the main reflector, the electromagnetic wave beams between the first shaping secondary reflector and the second shaping secondary reflector are approximately parallel to form a Cassegrain reflection form, and the electromagnetic wave beams between the second shaping secondary reflector and the main reflector are converged in a specific area to form a Gregory reflection form. In the three-reflector compact range antenna measuring system provided by the embodiment of the invention, the radiation direction of electromagnetic waves emitted by the feed source is adjustable, and the curved surface form, the concave-convex property and the mutual geometric position relationship between the reflectors of the two shaped secondary reflectors can be calculated and determined in advance based on the equivalent paraboloid theory, the beam mode expansion theory and the radiation direction of the electromagnetic waves, i.e. under the condition of ensuring high cross polarization isolation, the relative geometric positions between the reflectors can be flexibly adjusted, so that the three-reflector compact range antenna measuring system has higher geometric design freedom.

Of course, not all of the advantages described above need to be achieved at the same time in the practice of any one product or method of the invention.

Drawings

In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art that other embodiments can be obtained by using the drawings without creative efforts.

FIG. 1 is a schematic diagram of a three-mirror compact range antenna measurement system according to an embodiment of the present invention;

FIG. 2a is a schematic diagram of a Cassegrain antenna;

FIG. 2b is a schematic diagram of a structure of a Gregorian antenna;

FIG. 3 is a schematic diagram of a second configuration of a three-mirror compact range antenna measurement system in accordance with an embodiment of the present invention;

FIG. 4 is a flow chart of a method for determining the configuration and parameters of a three-mirror compact range antenna measurement system provided in an embodiment of the present invention;

FIG. 5 is a flow chart of determining the geometry of each reflector and the curved surface form of each shaped secondary reflector in an embodiment of the present invention;

FIG. 6a is a schematic diagram of a third configuration of a three-mirror compact range antenna measurement system in accordance with an embodiment of the present invention;

FIG. 6b is a schematic diagram of an equivalent parabolic configuration of the three-mirror compact range antenna measurement system of FIG. 6 a;

FIG. 7a is a schematic diagram of a fourth configuration of a three-mirror compact range antenna measurement system in accordance with an embodiment of the present invention;

FIG. 7b is a schematic diagram illustrating the definition of the equivalent focal length of each mirror according to an embodiment of the present invention;

FIG. 8 is a flowchart of obtaining mirror surface parameters of each shaped subreflector in an embodiment of the present invention;

FIG. 9 is a schematic diagram of dividing an electromagnetic wave emitted from a feed source into N sub-beams according to an embodiment of the present invention;

fig. 10 is a flowchart for obtaining wavefront parameters between a first shaping secondary mirror and a second shaping secondary mirror in the embodiment of the present invention;

FIG. 11a is a plot of the deadband amplitude and cross-polarization isolation performance of a three-mirror compact range antenna measurement system provided in an embodiment of the present invention;

FIG. 11b is a plot of the dead band amplitude performance (amplitude jitter) of a three-mirror compact range antenna measurement system provided in an embodiment of the present invention;

FIG. 11c is a chart of dead band phase performance (phase jitter) for a three-mirror compact range antenna measurement system as provided in an embodiment of the present invention.

Detailed Description

The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived from the embodiments given herein by one of ordinary skill in the art, are within the scope of the invention.

In order to improve the degree of freedom of geometric design of the antenna measuring system, the embodiment of the invention provides a three-reflector compact range antenna measuring system, and a structure and parameter determination method of the three-reflector compact range antenna measuring system.

As shown in fig. 1, fig. 1 is a schematic structural diagram of a three-reflector compact range antenna measurement system according to an embodiment of the present invention, where the system may include: a direction moving device 101, a feed source 102, a main reflector 103, a first shaped secondary reflector 104 and a second shaped secondary reflector 105;

the feed source 102 is arranged on the directional moving device 101 and is used for generating electromagnetic waves;

the direction moving device 101 is configured to drive the feed source 102 to move so as to adjust the radiation direction of the electromagnetic wave;

the main mirror 103 is a curved mirror with a fixed mirror surface size and a fixed curvature parameter;

the first shaped secondary reflector 104 and the second shaped secondary reflector 105 are shaped reflectors with adjustable concave-convex formed by irregular surface points;

the curved surface form, the concave-convex property and the mutual geometric position relation between the first forming secondary reflector 104 and the second forming secondary reflector 105 are determined by calculation based on an equivalent paraboloid theory and a beam pattern expansion theory in advance;

the electromagnetic wave emitted by the feed source 102 is reflected to a second forming secondary reflector 105 through a first forming secondary reflector 104, the second forming secondary reflector 105 reflects the electromagnetic wave to the main reflector 103, and the electromagnetic wave reflected by the main reflector 103 is emitted as a plane electromagnetic wave to generate a system emergent field;

the electromagnetic wave beam between the first shaping secondary reflector 104 and the second shaping secondary reflector 105 is approximately parallel to form a cassegrain reflection form;

the electromagnetic wave beam between the second shaped secondary mirror 105 and the main mirror 103 is converged in a specific region to form a griigly reflection form.

The three-reflector compact range antenna measuring system provided by the embodiment of the invention comprises a direction moving device, a feed source, a main reflector, a first shaped secondary reflector and a second shaped secondary reflector, wherein the feed source is used for generating electromagnetic waves and is arranged on the direction moving device, the main reflector is a reflector with fixed size and curvature, the first shaped secondary reflector and the second shaped secondary reflector are shaped reflectors with adjustable concavity and convexity formed by irregular surface points, the curved surface form and the concavity of the two shaped secondary reflectors and the geometric relationship among the reflectors are determined based on an equivalent paraboloid theory and a beam mode expansion theory, the electromagnetic waves emitted by the feed source are reflected to the second shaped secondary reflector through the first shaped secondary reflector, then reflected to the main reflector through the second shaped secondary reflector and reflected by the main reflector, the system emergent field can be formed, wherein the electromagnetic wave beams between the first forming auxiliary reflecting mirror and the second forming auxiliary reflecting mirror are approximately parallel to form a Cassegrain reflecting form, and the electromagnetic wave beams between the second forming auxiliary reflecting mirror and the main reflecting mirror are converged in a specific area to form a Grigy reflecting form. In the three-reflector compact range antenna measuring system provided by the embodiment of the invention, the radiation direction of electromagnetic waves emitted by the feed source is flexibly adjusted by adjusting the direction moving device, and the curved surface form, the concave-convex property and the mutual geometric position relation between the reflectors of the two shaped secondary reflectors can be calculated and determined in advance based on the equivalent paraboloid theory, the beam mode expansion theory and the radiation direction of the electromagnetic waves, namely, the relative geometric positions between the reflectors can be flexibly adjusted under the condition of ensuring high cross polarization isolation, so that the three-reflector compact range antenna measuring system has higher geometric design freedom.

The feed 102 is a primary radiator of a high gain antenna, which converts high frequency current or bound electromagnetic waves into radiated electromagnetic energy, and is typically a weak directional antenna. In the embodiment of the present invention, the feed source may be a oscillator-type feed source, a horn-type feed source, a double-slot feed source, and the like, which is not limited specifically herein.

In the embodiment of the present invention, the feed source 102 is disposed on a directional moving device 101, the directional moving device 101 may be composed of an adjusting bracket and a mounting substrate, and the electromagnetic wave radiation direction of the feed source 102 may be flexibly adjusted.

The shape of the main mirror 103 may be a spherical surface, an ellipsoidal surface, a paraboloidal surface, a hyperboloid surface, or the like, which is determined by parameters such as the size of a mirror surface, the radius of curvature, and the like.

In general, a main reflector of a three-reflector compact range antenna measuring system adopts a reflector with a circular caliber, but because the circular caliber is of an axisymmetric structure, electromagnetic waves reflected by the reflector with the circular caliber have strong interference on the axis of the caliber, so that a quiet zone field has large fluctuation in a central area, and the quality of the quiet zone field is reduced. Therefore, in order to improve the quality of the dead zone and reduce the amplitude and phase fluctuation of the dead zone, as a specific implementation manner of the embodiment of the present invention, the main mirror 103 may be a mirror with a rectangular aperture, and the mirror with the rectangular aperture has a non-axisymmetric structure with less interference in the axial direction, so as to reduce the amplitude and phase fluctuation of the central area of the dead zone.

How to determine the curved surface form, the unevenness, and the geometric positional relationship between the shaped sub-mirrors described above can be referred to the following description of the embodiments of the structure and the parameter determination method, and will not be described in detail here.

As described above, in the embodiment of the present invention, the electromagnetic beam between the first shaped secondary reflector and the second shaped secondary reflector forms a cassegrain reflection form, as shown in fig. 2a, the cassegrain antenna is a dual-reflector antenna, which is composed of two reflecting surfaces and a feed source, the main reflecting surface is a paraboloid of revolution, the secondary reflecting surface is a hyperboloid of revolution, the feed source is disposed on the real focal point F1 of the hyperboloid of revolution, and the focal point of the paraboloid coincides with the focal point of the hyperboloid of revolution, that is, both are located at point F2. The electromagnetic wave radiated from the feed source is reflected by the sub-reflecting surface toward the main reflecting surface, and is reflected again on the main reflecting surface. Because the focus of the main reflecting surface is superposed with the focus of the auxiliary reflecting surface, after the two reflections of the main reflecting surface and the auxiliary reflecting surface, the electric wave is directionally radiated in a direction parallel to the normal direction of the paraboloid. For the classical cassegrain antenna shown in fig. 2a, the presence of the sub-reflecting surface blocks a part of the energy, so that the efficiency of the antenna is reduced, the energy distribution is not uniform, and the correction is necessary. After the modified Cassegrain antenna is modified through the antenna surface, the antenna efficiency can be improved to 0.7-0.75, and the energy distribution is uniform. As a specific embodiment of the present invention, it is considered that the feed 102, the first forming sub-mirror 104, and the second forming sub-mirror 105 constitute a modified cassegrain antenna.

As a specific implementation manner of the embodiment of the present invention, the electromagnetic wave beam between the second shaped secondary mirror and the primary mirror is converged in a specific region to form a griigly reflection form. As shown in fig. 2b, the griighbound antenna is also a dual reflector antenna, which is composed of a main reflector, an auxiliary reflector and a feed source. Unlike the cassegrain antenna, its subreflector is an ellipsoid. The feed source is placed at one focal point F1 of the ellipsoid, the other focal point F2 of the ellipsoid coinciding with the focal point of the main reflector. Many characteristics of the griigy antenna are similar to those of the cassegrain antenna except that the focal point of the ellipsoid is a real focal point, all beams converge at this point, and the area of this point is the caustic area under the griigy reflection form. As a specific implementation manner of the embodiment of the present invention, the electromagnetic wave reflected by the first forming sub-mirror 104 from the feed source can be considered as an electromagnetic wave emitted from the feed source, and therefore, the first forming sub-mirror 104, the second forming sub-mirror 105, and the main mirror 103 that reflect the electromagnetic wave from the feed source can be considered as constituting a griigly antenna.

As a specific implementation manner of the embodiment of the present invention, as shown in fig. 3, the system includes a feed source 302, a first shaped secondary mirror 301, a second shaped secondary mirror 303, a main mirror 304, and a diffraction baffle 305; also included is a directional movement device, not shown.

The diffraction baffle is placed in the specific area and used for absorbing diffraction waves at the edge of the reflector.

The specific area is as follows: a caustic region between the second shaped secondary mirror and the primary mirror.

The special area is a caustic area between the second shaped secondary reflector and the main reflector. Since the disturbances in the dead zone are due in large part to the influence of the diffracted waves at the edges, especially at lower frequencies, placing the diffraction stop 305 in its caustic zone can further attenuate the influence of the diffracted waves at the mirror edges.

Based on the same inventive concept as the three-reflector compact antenna measuring system, an embodiment of the present invention further provides a method for determining a structure and parameters of the three-reflector compact antenna measuring system, as shown in fig. 4, where fig. 4 is a flowchart of the method for determining the structure and parameters provided by the embodiment of the present invention, and specifically includes the following steps:

step 401, determining an actually required feed source radiation direction by moving the direction moving device for multiple times;

in the embodiment of the present invention, the feed source can be determined through the above step 401Radiation direction, i.e. determining the offset angle theta of the feed₀As a specific implementation manner of the embodiment of the present invention, the offset angle θ of the feed source is₀Can be defined as the included angle between the radiation direction of the feed source and the horizontal direction. In the embodiment of the invention, the feed source offset angle theta₀And may be at any angle.

Step 402, determining the geometric structure form of a three-reflector compact range antenna measuring system and the curved surface forms of a first shaping auxiliary reflector and a second shaping auxiliary reflector based on the equivalent paraboloid theory, the feed source radiation direction and the requirements of eliminating cross polarization components; the geometric structural form is used for representing the relative geometric position relation among the three reflectors;

as shown in fig. 5, the step 402 may specifically include the following steps:

step 501, obtaining a feed source radiation direction determined by the direction moving device;

step 502, establishing an equivalent paraboloid model and an equivalent relation thereof for the three-reflector compact range antenna measuring system and a first cross polarization cancellation condition based on a conversion relation among three-reflector compact range antenna measuring systems and equivalent paraboloids thereof, the radiation direction of the feed source and the requirement that the central axis of the radiation direction of the feed source is consistent with the central axis of the equivalent paraboloid;

as shown in fig. 6a, fig. 6a is a schematic structural diagram of an antenna measurement system according to an embodiment of the present invention, and in fig. 6a, a radiation direction of the feed source is marked as L₀The ray direction and the offset angle are recorded as theta₀D is the diameter of the main reflector aperture, alpha is the ray from the optical center of the first shaping secondary reflector to the optical center of the second shaping secondary reflectorThe included angle with the z-axis (anticlockwise is positive); beta is a ray from the optical center of the second forming secondary reflector to the optical center of the main reflectorThe angle to the z-axis (negative clockwise); l is₀，L₁，L₂Are respectively rays Andlength of (d); l isLength of and (when F isThe time value on the extension of and is positive); f₀，F₁Is the focal point of a first shaped secondary mirror, F₁，F₂Focal point of the second shaped secondary mirror, F₂Is the focal point of the primary mirror.

FIG. 6b is a schematic diagram of an equivalent paraboloid of a three-reflector compact range antenna measurement system in an embodiment of the present invention, wherein 2 φ₀The field angle of the feed source in the equivalent parabolic model; epsilon is the feed offset angle in the equivalent parabolic model.

The conversion relation between the three-reflector compact range antenna measurement system and the equivalent paraboloid thereof is shown as formula 1:

wherein, P_iIn the form of a curved surface, δ_iThe concave-convex characteristic of the curved surface; theta₀Is a feed source offset angle; theta₁Is the feed source F₀To the confocal focus F of the first and second shaping secondary reflectors₁Connecting line F of₀F₁Angle with horizontal, theta₂A confocal focus F of the first and second shaping secondary reflectors₁And a main mirror focus F₂Connecting line F of₁F₂And level withAngle of direction, e is direction vector, P_iIn the form of a curved surface, when P is_iWhen is +1, the curved surface is hyperboloid, P_iWhen it is-1, the curved surface is an ellipse, delta_iRelief of curved surface, delta_iWhen +1, the curved surface is concave, delta_iWhen the number is-1, the curved surface is a convex surface, and i is a curved surface number.

In order to eliminate cross-polarization components, there are: the central axis of the emitting direction of the feed horn is consistent with the central axis of the equivalent paraboloid, so that the epsilon is 180 degrees, namely, the cross polarization component is eliminated, and therefore, the central axis of the emitting direction of the feed horn is consistent with the central axis of the equivalent paraboloidThus, the following formula can be obtained from formula (1):

substituting the structural parameter variables referred to in fig. 6a into the above equation (2) and working up the following relations can be obtained:

mixing the aboveThe conditions for cross-polarization cancellation can be obtained with the formula (3), as follows:

in equation (4), sign is a sign function. Thus, the three-reflector compact field system has been established with its equivalent parabolic model and its equivalent relationship, and the condition for eliminating cross polarization is obtained, and the respective dependent variables in the relationship have high design freedom.

For other free variables theta based on the above equivalent relation₀、α、β、l、L₀To discuss, determine variable rangesAnd (4) taking an optimal value, and discussing and determining an optimal geometric configuration structure and a curved surface form.

As shown in fig. 5, step 503, determining the geometric structural form of the three-reflector compact range antenna measurement system and the curved surface forms of the first and second shaped sub-reflectors based on the feed source radiation direction, the equivalent parabolic model and its equivalent relationship, and the first cross polarization cancellation condition; the geometric structural form is used for representing the relative geometric position relation between the three reflectors.

As shown in fig. 4, in step 403, based on the beam pattern expansion theory and the radiation direction of the feed source, the initial value of the free variable meeting the performance requirement of the dead zone of the system and the initial coordinate value of the optical center position of each reflector are solved for the determined geometric structural form; wherein the free variables include: theta₀、α、β、l、L₀(ii) a Wherein, theta₀The included angle between the direction of the electromagnetic wave radiated by the feed source and the horizontal direction is recorded as a feed source offset angle, and alpha is the included angle between the ray from the optical center of the first forming secondary reflector to the optical center of the second forming secondary reflector and the horizontal direction; beta is an included angle between a ray from the optical center of the second forming secondary reflector to the optical center of the main reflector and the horizontal direction; l is the length of the connecting line of the optical center of the first shaped secondary reflector and the focal point of the second shaped secondary reflector; l is₀The distance between the feed source and the optical center of the first forming secondary reflector is obtained;

FIG. 7a is a schematic diagram of another structure of a three-mirror compact range antenna measurement system according to an embodiment of the present invention, where M, M1 and M2 are reflection points of electromagnetic waves on the corresponding mirrors, and σ is₁、σ₂、σ₃D, L corresponding to the angle between the incident and reflected directions of the electromagnetic wave on the mirror₀、L₁、L₂As defined above, the output of the primary mirror is the system exit field, and the quasi-plane wave region of the system exit field is the dead zone. In beam mode analysis, equivalent focal lengths f of a first forming secondary reflector, a second forming secondary reflector and a main reflector in a three-reflector compact range antenna measuring system₁，f₂，f₃In FIG. 7b, the following formula (5) is defined; r_i，R_i' (i is 1,2,3) is a focal point F from the incident side of the radiation beam_iAnd a reflection side focal point F_i+1Distance to the optical center of the corresponding reflecting surface (when the focal point is in the direction of ray propagation, the value takes negative), M in fig. 7b₀Is the reflection point on the mirror, and M is the mirror vertex, σ_i(i ═ 1,2,3) is the corresponding incident-reflected ray angle.

In the process of solving the parameter variables, a beam pattern analysis method is used, and cross polarization cancellation conditions can be obtained according to the following formula:

R′₃＝∞ (6)

wherein σ 1 is 180- θ₀The initial values of the free variables meeting the performance requirement of the system dead zone can be obtained by the above relational expression, and the initial coordinate values of the optical center positions of the reflectors can be obtained by the initial values of the variables according to the determined system configuration geometrical structure and by applying relevant geometrical knowledge.

An embodiment of the present invention for determining the initial coordinate values of the optical centers of the respective mirrors is described below.

For the compact system layout, the structure of the three-reflector compact range antenna measurement system is designed as shown in fig. 7a, and the values and the relations of the parameter variables corresponding to the structure are as follows: theta₀＝117.5°，β>α，β>0，l/L₀>Max(X₀，0)，α<0, P1 ═ 1 and P2 ═ 1, respectively, from formula (4), and P in formula (1)1. The definition of P2 can obtain that the first shaped secondary reflector is an elliptical surface, the second shaped secondary reflector is a hyperboloid, and the equivalent focal length in the formula (5) is defined as f1>0,f2>0,f3>0 can show that the mirror surface is concave.

Considering the construction condition of a real system, optimally adjusting parameter variables by combining the performance of a later-stage quiet zone, and carrying out optimization adjustment on initial parameter variables alpha, beta and L₀，L₁，R₃After the value of (a) is optimized, the value can be obtained: theta₀＝117.5°，

α＝-20.3°，β＝110°，L₀＝0.6m，L₁＝1.2m，R₃＝3.3m，σ1＝180-θ₀+α，σ3＝180-β，

σ2＝σ3+α。

Combining the formula (5) and the formula (6) to obtain the formula (7), and substituting the initial free variable into the formula (7) to obtain the variables L, L₂Taking values;

obtaining by solution:

according to the obtained initial value, coordinate calculation is performed on the system geometry structure in fig. 7a, and finally, the feed source coordinate, the coordinate at the optical center position of each reflector, and the focus coordinate of the primary mirror are obtained as follows: r _ feed [ -0.116,0,0.8484], r _ sub1 ═ 0.4163,0,1.1255], r _ sub2 ═ 0,0,0], r _ main ═ 3.4468,0,1.2545], focal _ point ═ 0.3458,0, 0.1258.

The optical center coordinate (r _ main) and the focal point coordinate (focal _ point) of the main mirror are combined with the parabolic equation of the main mirror, so that the focal length f of the parabolic main mirror is 2.213, and the vertex coordinate vertex of the parabolic main mirror is 0.1817,0,2.28 by performing coordinate calculation on the structure shown in fig. 7 a.

As shown in fig. 4, step 404, determining a system mapping function according to the energy conservation principle based on the field distribution of the feed source and the expected emergent field distribution; the mapping function is used for representing the mapping relation between the feed source field angle theta and the system emergent field position radius r;

and determining a mapping function by using an energy conservation principle according to the outgoing field distribution of the feed source and the expected outgoing field distribution. The principle of energy conservation is as follows: the total field energy emitted by the feed source is equal to the total field energy emitted from the primary mirror. The corresponding relation between the field angle theta of the feed source and the position radius r of the emergent field of the system can be solved, the proportion of the energy of the feed source in the field angle theta to the total energy of the feed source is equal to the proportion of the energy in the corresponding radius r of the emergent field to the total emergent energy of the main reflector, and after the emergent radius r corresponding to the field angle theta is solved, the azimuth angle of the beam is utilizedThe mapping function can be solved. p (theta) is the feed source field distribution, p (r) is the required emergent field distribution, e (r) is the system emergent electromagnetic field strength, and G (theta) is the feed source field strength, as follows:

θ_mis the maximum feed source field angle, the feed source is at theta_mThe electromagnetic field in the direction is reduced by a specific value compared with the maximum emergent electromagnetic field of the feed source. After the emitting radius r corresponding to theta is obtained, the azimuth angle of the beam is usedThe mapping function can be solved:

step 405, based on the dynamic wave band tracking theory, performing tracking analysis on the electromagnetic wave sent by the feed source to obtain all mirror surface parameters of the shaped secondary reflector; the specular parameters include: normal vector of mirror surface, two mutually orthogonal directions of curvature of mirror surface and corresponding curvatures.

As shown in fig. 8, the step 405 may specifically include the following steps:

801, dividing electromagnetic waves emitted by a feed source into N sub-beams according to different emission angles; the emergence angle of the sub-beam is divided according to the emergence field angle and the azimuth angle;

before the mirror surface parameters are obtained, the electromagnetic wave emitted by the feed source is divided into N sub-beams which are thin enough according to different emission angles. As shown in fig. 9, θ is the exit opening angle, Φ is the azimuth angle,is the sub-beam exit direction vector.

For each sub-beam, performing the steps of:

step 802, determining the position coordinates of the reflection points of the sub-beams on the main reflector, the first forming secondary reflector and the second forming secondary reflector, and determining the normal vectors of the reflection points of the sub-beams on the first forming secondary reflector and the second forming secondary reflector according to the geometrical optics principle;

in fig. 1, the central black point in each reflector is the optical center position. The positions of the reflecting points of the known feed source, the first forming secondary reflector, the second forming secondary reflector and the main reflector are respectivelyTaking the reflection point on the first shaped secondary reflector as an example, the incident unit vector and the reflection unit vector of the electromagnetic wave are as follows:

then the unit normal vector of the reflection point on the first shaped secondary reflector is:

the nearest known point of the point to be found on the first shaped secondary reflector, i.e. the reflection point of which the mirror surface parameter has been found, is developed as a secondary paraboloid in the vicinity thereof, whereinA position vector representing the reflection point of the mirror parameter that has been found,G_1s1,G_1s2the specular parameters of the reflection point are represented.

Wherein g is₁，g₂Representing two mutually independent parameters. The ray of the sub-beam emitted by the feed source intersects with the secondary parabolic expansion surface, namely the reflection point of the next tracking sub-beam on the first shaping secondary reflector

WhereinPosition vector, s, representing a feed_oRepresenting the distance from the feed source to the reflection point.

The corresponding position of the same sub-beam on the system emergent field can be obtained according to the system mapping function, the sub-beam is reversely deduced at the position, the mirror surface parameters of the main reflector are known, the reflecting point of a new light path on the main reflector and the corresponding mirror surface parameters are obtained, the sub-beam is reversely deduced by applying the geometrical optics principle, and the reflecting point of the same sub-beam on the second forming sub-reflector can be obtained similarly.

The feed source, the reflecting point of the first shaped secondary reflector, the reflecting point of the second shaped secondary reflector and the reflecting point of the main reflector form a next light path to be solved.

Step 803, obtaining the wave front parameters between the reflection points of the second shaping secondary reflector and the main reflector according to the mirror surface parameters of the main reflector and the wave front parameters of the system emergent field; the wavefront parameters include normal vectors to the curved surfaceTwo mutually orthogonal curved surface curvature directionsAnd corresponding curvature G₁,G₂(ii) a On the wave front face of the wave,describing the propagation direction of the emergent field,Describing wave surface curvature vector sum G₁,G₂Corresponding curvature. On the surface of the mirror, the mirror surface,describing the normal vector of the mirror surface,Describing the specular curvature vector sum G₁,G₂Corresponding curvature.

As described above, the primary mirror is a parametrically determined mirror, and thus, the mirror parameters of all points on its mirror surfaceAre known, for example, the above parameters are recorded asG_m1,G_m2. The desired exit field is a plane wavefront parameterC_f1,C_f2Then the wave front parameter can be reversely deduced to obtain the wave front parameter between the reflection point of the second forming secondary reflector and the reflection point of the main reflectorC_t1,C_t2。

Setting an included angle theta between the emitted electromagnetic wave and the normal vector of the reflection point of the main reflector₃Direction of propagation of the wavefront parameters of the reflected exit fieldWave surface curvature C_f1,C_f2And corresponding curvature vectorThe parameters of the reflecting mirror surface have normal vectorsCurvature and corresponding mirror parametersG_m1,G_m2Then, the projection matrix of the incident wave is obtained by the following matrix equation:

Q_t＝Q_f-2cosθ₃(Θ^-1)^TCΘ^-1

then Q can be obtained_tIs a projection matrix of the incident wave whose eigenvalue is the curvature C_t1，C_t2And the eigenvector matrix is V, the corresponding curvature vector and the incident beam propagation direction can be obtained.

Step 804, tracking the sub-beam, and obtaining a wavefront parameter between a reflection point of the first shaped sub-reflector and a reflection point of the second shaped sub-reflector according to a normal vector of the sub-beam at the reflection point of the first shaped sub-reflector and a normal vector of the reflection point on the second shaped sub-reflector;

specifically, as shown in fig. 10, the step 804 may specifically include the following steps:

step 1001, tracking a beam emitted by a feed source, and obtaining a wave band form of a starting end between a reflecting point of a first shaped secondary reflector and a reflecting point of a second shaped secondary reflector according to a normal vector of the reflecting point of the feed source and the reflecting point of the first shaped secondary reflector;

the ray wave band is a parameter capable of describing the form change of the propagating neutron beam, and two orthogonal wave bands can well express a beam of the neutron beam. A band may be represented by a vector whose direction is perpendicular to the direction of propagation of the sub-beam, the magnitude of the vector representing the magnitude of the band. Tracking two wave bands emitted by a feed source, wherein the shapes of the two wave bands before reaching the reflection point of a first forming secondary reflector are as follows:

wherein s is_oThe length from the feed point to the reflection point of the first shaped secondary mirror,is the angular direction vector of the feed source,is the azimuthal direction vector of the feed. According to the reflection rule of ray wave band, the normal vector of the reflection point on the first shaped secondary reflector is knownThe wave band form from the reflection point of the first shaped auxiliary reflector to the starting end of the reflection point of the second shaped auxiliary reflector can be obtained:

step 1002, reversely tracking the electromagnetic wave according to the system mapping function, and obtaining a wave band shape of a tail end between a reflecting point of a first forming auxiliary reflecting mirror and a reflecting point of a second forming auxiliary reflecting mirror according to a wave front parameter between the reflecting point of the second forming auxiliary reflecting mirror and the reflecting point of a main reflecting mirror and a normal vector of the reflecting point of the second forming auxiliary reflecting mirror;

the corresponding shape of the ray band in the exit field can be found from the system mapping function in step 801:

and (3) performing back tracking, wherein when the wave bands are propagated, the directions and the sizes of the wave bands are changed according to the following rules:

whereinThe wave band state after the propagation of the s distance is represented, because the wave front parameter of the emergent field plane wave is constant, the normal vector of the reflecting points of the main reflector and the second shaping auxiliary reflector is known, and the wave front parameter between the reflecting points of the main reflector and the second shaping auxiliary reflector is solved, the wave band form of the emergent field is reversely propagated according to the propagation and reflection rules of the wave band, and the wave band state of the tail end of the reflecting point of the first shaping auxiliary reflector and the second shaping auxiliary reflector can be obtainedThe specific process is as follows:

corresponding wave bands obtained by the system mapping function are reversely reflected by the main reflector to derive the wave band shape of the tail end between the reflecting points of the main reflector and the second forming secondary reflector

Knowing the wavefront function between the reflection points of the main mirror and the second shaped secondary mirrorThen reversely propagating to the starting end of the propagation segment to obtain

At last handleRetro-reflection is carried out on a second shaped secondary reflector to obtain the wave band shapes of the reflection point propagation section tail end of the first shaped secondary reflector and the reflection point propagation section of the second shaped secondary reflector:

step 1003, according to the propagation rule of ray wave bands, obtaining wave front parameters between the reflecting points of the first forming secondary reflector and the second forming secondary reflector according to the wave band shape of the starting end and the wave band shape of the tail end between the reflecting points of the first forming secondary reflector and the second forming secondary reflector.

The initial end wave band forms of the reflection points of the first shaping auxiliary reflector and the second shaping auxiliary reflector are obtained in the stepsAnd end zone morphologyThe following equation is derived from the propagation law of the ray band:

obtaining wave front parameters of the transmission section of the reflection point of the first shaped secondary reflector and the reflection point of the second shaped secondary reflector according to the wave band transmission rule, simplifying the vector equation by introducing a reference vector, whereinIs the unit vector of the y-axis in global coordinates.

WhereinIs the wave propagation direction vector of the reflection point of the first shaped secondary mirror and the reflection point of the second shaped secondary mirror, which has been determined when the reflection point on each mirror was determined in step 1001. Three secondary unknowns were added:

u₁＝s_sC_m

wherein C is_m＝(C_s1+C_s2)/2,C_d＝(C_s1-C_s2)/2，Is the angle between the wavefront curvature vector and the reference vector.

Then the first forming side reaction is solved through the known wave band states at two endsCurvature C in wave front parameter on reflector reflection point propagation section of reflector and second shaped secondary reflector_s1,C_s2Angle of sum vectorThe corresponding curvature vectors are:

as shown in fig. 8, in step 805, the mirror surface parameters of the reflecting points of the second shaped sub-mirror are obtained according to the wavefront parameters between the reflecting points of the main mirror and the second shaped sub-mirror and the wavefront parameters between the reflecting points of the first shaped sub-mirror and the second shaped sub-mirror, and the mirror surface parameters of the reflecting points of the first shaped sub-mirror are obtained according to the wavefront parameters between the reflecting points of the first shaped sub-mirror and the second shaped sub-mirror and the wavefront parameters of the feed source;

if the wavefront parameters of each propagation segment are obtained, the mirror parameters of the reflection points on each shaped sub-mirror can be obtained according to the relational formula between the wavefront parameters before and after reflection and the mirror parameters in step 803. Taking the mirror parameters of the reflection point of the first shaped secondary reflector as an example:

two reference vectors are introduced first:

three intermediate variables were added:

C_o1,C_o2is the wavefront curvature, C, of the feed source_s1,C_s2Is the wave front curvature, G, corresponding to the wave front between the reflecting point of the first shaped secondary reflector and the reflecting point of the second shaped secondary reflector_1s1,G_1s2Is the mirror curvature corresponding to the mirror reflection point of the first shaped secondary mirror.

Calculating the curvature G of the reflecting surface corresponding to the reflecting point of the first shaped secondary reflector_1s1,G_1s2Angle of sum vectorThe corresponding curvature vectors are:

the process of solving the mirror surface parameters of the second shaped secondary reflector is the same as the process of solving the mirror surface parameters of the first shaped secondary reflector, and is not repeated here.

Step 806, determining whether all the sub-beams have been analyzed, if all the sub-beams have been analyzed, executing step 808, and ending the analysis; if there are more sub-beams not analyzed, step 807 is executed

In step 807, the sub-beam of the electromagnetic wave emitted from the feed source is changed, and the process returns to step 802.

Through the steps, the sub-beams of the electromagnetic waves emitted by the feed source are gradually tracked, analyzed and calculated, and all mirror surface parameters of the first shaping reflector and the second shaping reflector can be solved, so that the parameters of the whole three-reflector structure are determined.

The structure and parameter determining method of the three-reflector compact field measuring system provided by the embodiment of the invention comprises the steps of firstly determining the radiation direction of a feed source, then determining the set structure of three reflectors and the curved surface form of each shaped auxiliary reflector based on an equivalent paraboloid theory and a condition of eliminating cross polarization components, then determining the initial coordinate value of the optical center position of each reflector meeting the performance requirement of a dead zone based on a beam mode expansion theory, then determining a system mapping function, namely the mapping relation between the feed source field angle and the position radius of an emergent field, and finally determining the mirror surface parameters of each shaped reflector based on a dynamic waveband tracking theory. In the structure and parameter determining method provided by the embodiment of the invention, the geometric configuration position, structure and form of each reflector in the three-reflector compact range antenna measuring system are determined by adopting an equivalent paraboloid method and a beam pattern analysis method, so that the optimal radiation direction of a feed source can be flexibly designed and selected, and meanwhile, the geometric design freedom degree of the whole system is greatly improved on the premise of ensuring higher dead zone utilization rate and high cross polarization isolation.

As shown in fig. 11a, fig. 11b, and fig. 11c, which are a dead zone amplitude performance diagram, a dead zone amplitude performance diagram (amplitude jitter), and a dead zone phase performance diagram (phase jitter), respectively, of the three-mirror compact range antenna measurement system provided in the embodiment of the present invention.

In fig. 11a, the magnitude of the cross polarization isolation refers to the difference in amplitude between the minimum value of the main polarization curve and the maximum value of the cross polarization curve in the range of [ -1.05,1.05] (when the dead band utilization rate is 70%), such as the difference between two dotted lines in fig. 11 a. A larger difference indicates a larger cross-polarization isolation of the dead zone.

In fig. 11b, the amplitude jitter is the amplitude difference between the highest value and the lowest value of the two curves of the vertical stub and the horizontal stub of the main polarization, and the smaller the difference is, the smaller the amplitude jitter of the dead zone is, and the general dead zone amplitude jitter is required to be less than 1 dB. Which is 0.71dB in fig. 11 b.

In fig. 11c, the phase jitter is the difference between the highest value and the lowest value of the two curves of the vertical stub and the horizontal stub of the main polarization, and the smaller the difference is, the smaller the phase jitter of the dead zone is, and the phase jitter of the dead zone is required to be less than 10 °. And 6.34 in fig. 11 c.

In the above embodiments, the implementation may be wholly or partially realized by software, hardware, firmware, or any combination thereof. When implemented in software, may be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When loaded and executed on a computer, cause the processes or functions described in accordance with the embodiments of the invention to occur, in whole or in part. The computer may be a general purpose computer, a special purpose computer, a network of computers, or other programmable device. The computer instructions may be stored in a computer readable storage medium or transmitted from one computer readable storage medium to another, for example, from one website site, computer, server, or data center to another website site, computer, server, or data center via wired (e.g., coaxial cable, fiber optic, Digital Subscriber Line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.). The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device, such as a server, a data center, etc., that incorporates one or more of the available media. The usable medium may be a magnetic medium (e.g., floppy Disk, hard Disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., Solid State Disk (SSD)), among others.

It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.

All the embodiments in the present specification are described in a related manner, and the same and similar parts among the embodiments may be referred to each other, and each embodiment focuses on the differences from the other embodiments. In particular, for the system embodiment, since it is substantially similar to the method embodiment, the description is simple, and for the relevant points, reference may be made to the partial description of the method embodiment.

The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention shall fall within the protection scope of the present invention.