Device and method for measuring excited state absorption heat load in laser gain crystal

文档序号:1435019 发布日期:2020-03-20 浏览:13次 中文

阅读说明:本技术 一种测量激光增益晶体内激发态吸收热负荷的装置和方法 (Device and method for measuring excited state absorption heat load in laser gain crystal ) 是由 苏静 卢华东 杨慧琦 彭堃墀 于 2019-12-02 设计创作,主要内容包括:本发明公开一种测量激光增益晶体内激发态吸收热负荷的装置及方法。通过获取单频激光器对应的降低泵浦功率时的无光泵浦阈值、最佳泵浦点功率以及单频激光器的腔型参数,得到激光增益晶体子午面的热透镜焦距和弧矢面的热透镜焦距;根据子午面的热透镜焦距、弧矢面的热透镜焦距,得到激光增益晶体在子午面的输出矩阵和激光增益晶体在弧矢面的输出矩阵;根据激光增益晶体在子午面的输出矩阵、激光增益晶体在弧矢面的输出矩阵、降低泵浦功率时的无光泵浦阈值和单频激光器的最佳泵浦点功率,得到无光阈值处对应的热负荷、无光阈值处对应的激发态吸收热负荷和最佳泵浦点对应的激发态吸收热负荷。本发明能够提高测量精度,准确反映晶体热效应的严重程度。(The invention discloses a device and a method for measuring the excited state absorption heat load in a laser gain crystal. Obtaining a thermal lens focal length of a meridian plane and a thermal lens focal length of a sagittal plane of the laser gain crystal by obtaining a non-optical pumping threshold value, an optimal pumping point power and a cavity type parameter of the single-frequency laser corresponding to the single-frequency laser when the pumping power is reduced; obtaining an output matrix of the laser gain crystal in the meridian plane and an output matrix of the laser gain crystal in the sagittal plane according to the thermal lens focal length in the meridian plane and the thermal lens focal length in the sagittal plane; and obtaining the heat load corresponding to the lightless threshold, the excited state absorption heat load corresponding to the lightless threshold and the excited state absorption heat load corresponding to the optimal pumping point according to the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane, the lightless pumping threshold when the pumping power is reduced and the optimal pumping point power of the single-frequency laser. The invention can improve the measurement precision and accurately reflect the severity of the thermal effect of the crystal.)

1. An apparatus for measuring the excited state absorption thermal loading in a laser gain crystal, comprising: the device comprises a single-frequency laser (1), a power meter (2), a spectroscope (3), an F-P cavity (4), a photoelectric detector (5), an oscilloscope (6), a signal generator (7) and a high-voltage amplifier (8); the spectroscope (3), the F-P cavity (4), the photoelectric detector (5), the oscilloscope (6), the signal generator (7) and the high-voltage amplifier (8) are sequentially connected;

the output oscillation light of the single-frequency laser (1) is injected into the power meter (2) after passing through the spectroscope (3), part of the oscillation light passing through the spectroscope (3) is injected into the F-P cavity (4), the oscillation light is converted into an electric signal through the photoelectric detector (5), the electric signal output by the photoelectric detector (5) is input into the oscilloscope (6), and the oscilloscope (6) is used for recording the single-frequency characteristic of the single-frequency laser (1) under different injection powers; the oscilloscope (6) is connected with the signal generator (7), the signal generator (7) is used for generating low-frequency scanning signals, and the low-frequency scanning signals are loaded on the piezoelectric ceramics adhered in the F-P cavity (4) after being amplified by the high-voltage amplifier (8).

2. An arrangement for measuring excited-state absorption thermal loading in a laser gain crystal according to claim 1, characterized in that the single-frequency laser (1) comprises a laser gain crystal.

3. The apparatus of claim 2, wherein YVO is Nd4And (4) crystals.

4. The device for measuring the excited state absorption heat load in a laser gain crystal according to claim 1, wherein the optical resonant cavity of the single frequency laser (1) is a standing wave cavity or a traveling wave cavity.

5. A method of measuring the excited state absorption thermal loading in a laser gain crystal using the apparatus of any one of claims 1 to 4, comprising:

obtaining a non-optical pumping threshold value and the optimal pumping point power of the single-frequency laser when the pumping power is reduced corresponding to the single-frequency laser;

acquiring cavity parameters of the single-frequency laser;

obtaining the thermal lens focal length of the meridian plane and the thermal lens focal length of the sagittal plane of the laser gain crystal inside the single-frequency laser according to the thermal lens focal length formula of the meridian plane and the thermal lens focal length formula of the sagittal plane;

obtaining an output matrix of the laser gain crystal on the meridian plane and an output matrix of the laser gain crystal on the sagittal plane according to the thermal lens focal length of the meridian plane, the thermal lens focal length of the sagittal plane and the cavity type parameters of the single-frequency laser;

substituting the non-light pumping threshold value when the pumping power is reduced and the cavity type parameter of the single-frequency laser into the conditions which are met by the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the laser in the stable region to obtain the heat load corresponding to the non-light pumping threshold value;

obtaining an excited state absorption heat load according to the heat load corresponding to the lightless threshold;

and substituting the optimal pumping point power of the single-frequency laser and the cavity type parameters of the single-frequency laser into the conditions which are met by the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the light spots of the laser on the meridian plane and the sagittal plane at the optimal pumping point to obtain the excited state absorption heat load corresponding to the optimal pumping point.

6. The method of claim 5, wherein the obtaining of the pump power reduction non-optical pumping threshold and the optimal pump point power of the single-frequency laser for the single-frequency laser specifically comprises:

increasing and reducing the pump light power of the single-frequency laser, and recording the corresponding laser output power of the single-frequency laser under the condition of different injection pump powers by using a power meter;

acquiring single-frequency information;

and obtaining a non-optical pumping threshold value and the optimal pumping point power of the single-frequency laser corresponding to the single-frequency laser when the pumping power is reduced according to the laser output power table and the single-frequency information.

7. The method for measuring the excited state absorption heat load in the laser gain crystal according to claim 5, wherein the obtaining of the meridional thermal lens focal length and the sagittal thermal lens focal length of the laser gain crystal inside the single-frequency laser according to the meridional thermal lens focal length formula and the sagittal thermal lens focal length formula specifically comprises:

according to the formula of the thermal lens of the laser gain crystal in the meridian plane

Figure FDA0002298567410000021

According to the principleThermal lens formula of optical gain crystal in sagittal plane

Figure FDA0002298567410000022

wherein, K‖c、K⊥cThermal conductivity, omega, parallel and perpendicular to the laser gain crystal, respectivelypThe size of the waist spot of the pump light at the laser crystal, ξ is the thermal load, PPFor the amount of pump power injected into the laser crystal,

Figure FDA0002298567410000031

8. The method of claim 7, wherein the deriving the output matrix of the laser gain crystal in the meridional plane and the output matrix of the laser gain crystal in the sagittal plane according to the thermal lens focal length in the meridional plane, the thermal lens focal length in the sagittal plane, and the cavity type parameters of the single frequency laser comprises:

adopting a formula according to the thermal lens focal length of the meridian plane and the cavity parameters of the single-frequency laser

Figure FDA0002298567410000032

Adopting a formula according to the thermal lens focal length of the sagittal plane and the cavity type parameters of the single-frequency laser

Figure FDA0002298567410000034

Wherein the content of the first and second substances,

Figure FDA0002298567410000036

9. The method for measuring the excited state absorption heat load in the laser gain crystal according to claim 8, wherein the obtaining the excited state absorption heat load according to the corresponding heat load at the dark threshold comprises:

when the single-frequency laser is in a stable region on the meridian plane and the sagittal plane at the same time, adopting a formula according to the corresponding thermal load at the position of the lightless threshold valueThe excited state absorption heat load ξ is obtainedESA

Wherein λ isPIs the wavelength, λ, of the pump lightlFor oscillation after light emergenceOptical wavelength, ξESATo absorb the thermal load for the excited state, ξlasingThe heat load after light extraction.

10. The method of claim 8, wherein the step of substituting the optimal pump point power of the single-frequency laser and the cavity type parameter of the single-frequency laser into the output matrix of the laser gain crystal in the meridian plane, the output matrix of the laser gain crystal in the sagittal plane, and the light spots of the laser in the meridian plane and the sagittal plane at the optimal pump point to obtain the excited state absorption heat load corresponding to the optimal pump point comprises:

when the laser resonant cavity is at the optimum pumping point, the light spots of the meridian plane and the sagittal plane should satisfy the formula

Figure FDA0002298567410000042

Technical Field

The invention relates to the field of laser, in particular to a device and a method for measuring the excited state absorption heat load in a laser gain crystal.

Background

The single-frequency 1342nm laser is widely applied to the fields of optical fiber sensing, optical fiber communication, laser medical treatment and the like as an important laser light source. The 671nm frequency doubling red laser is widely applied to the fields of high-precision laser spectrum, ultra-cold atoms, laser medical treatment, OPO, tunable pumping sources and the like. With the continuous development of scientific technology, for example, for the field of quantum entanglement and quantum communication, 1342/671nm laser with excellent performance and higher power output can generate better signal-to-noise ratio and entanglement degree. High power, high output performance 1342/671nm lasers have been the subject of research by researchers. However, the thermal effect of the laser gain crystal is very serious compared with a 1064nm laser, and the further improvement of the power of the fundamental frequency light and the frequency doubling light is severely limited. The thermal load in the thermal lens is an important index for researching and measuring the thermal effect of the laser gain crystal, and in order to obtain the single-frequency 1342/671nm laser output power with high power output and further reasonably and optimally design the laser resonant cavity, the size of the thermal load of the laser gain medium before and after laser output needs to be researched.

The traditional research on the influence degree of the ESA effect on the thermal load and the laser output power of the laser gain crystal is mainly focused on theoretical research and probe optical probe technology. The theoretical research part is based on a rate equation, and is further added with an ESA part, and research is carried out according to the definition of ESA heat load. The method requires more complicated theoretical calculation and derivation. In the probe light method, the shaped probe light is passed through a gain medium having a thermal lens effect, and the spectral distribution of the ESA and the thermal lens value are studied by measuring the spectral distribution. The method for observing the change condition of the thermal lens through the probe optical technology has the advantages of intuition, requirement of additionally introducing a beam of light, very low measurement precision and incapability of accurately reflecting the severity of the thermal effect of the crystal.

Disclosure of Invention

The invention aims to provide a device and a method for measuring the excited state absorption heat load in a laser gain crystal, which can improve the measurement precision so as to accurately reflect the severity of the heat effect of the crystal.

In order to achieve the purpose, the invention provides the following scheme:

an apparatus for measuring the thermal loading of excited state absorption in a laser gain crystal, comprising: the device comprises a single-frequency laser (1), a power meter (2), a spectroscope (3), an F-P cavity (4), a photoelectric detector (5), an oscilloscope (6), a signal generator (7) and a high-voltage amplifier (8); the spectroscope (3), the F-P cavity (4), the photoelectric detector (5), the oscilloscope (6), the signal generator (7) and the high-voltage amplifier (8) are sequentially connected;

the output oscillation light of the single-frequency laser (1) is injected into the power meter (2) after passing through the spectroscope (3), part of the oscillation light passing through the spectroscope (3) is injected into the F-P cavity (4), the oscillation light is converted into an electric signal through the photoelectric detector (5), the electric signal output by the photoelectric detector (5) is input into the oscilloscope (6), and the oscilloscope (6) is used for recording the single-frequency characteristic of the single-frequency laser (1) under different injection powers; the oscilloscope (6) is connected with the signal generator (7), the signal generator (7) is used for generating low-frequency scanning signals, and the low-frequency scanning signals are loaded on the piezoelectric ceramics adhered in the F-P cavity (4) after being amplified by the high-voltage amplifier (8).

Optionally, the single-frequency laser (1) comprises a laser gain crystal.

Optionally, the laser gain crystal adopts Nd: YVO4And (4) crystals.

Optionally, the optical resonant cavity of the single-frequency laser (1) is a standing wave cavity or a traveling wave cavity.

A method of measuring excited state absorption thermal loading in a laser gain crystal, the method employing an apparatus for measuring excited state absorption thermal loading in a laser gain crystal, the method comprising:

obtaining a non-optical pumping threshold value and the optimal pumping point power of the single-frequency laser when the pumping power is reduced corresponding to the single-frequency laser;

acquiring cavity parameters of the single-frequency laser;

obtaining the thermal lens focal length of the meridian plane and the thermal lens focal length of the sagittal plane of the laser gain crystal inside the single-frequency laser according to the thermal lens focal length formula of the meridian plane and the thermal lens focal length formula of the sagittal plane;

obtaining an output matrix of the laser gain crystal on the meridian plane and an output matrix of the laser gain crystal on the sagittal plane according to the thermal lens focal length of the meridian plane, the thermal lens focal length of the sagittal plane and the cavity type parameters of the single-frequency laser;

substituting the non-light pumping threshold value when the pumping power is reduced and the cavity type parameter of the single-frequency laser into the conditions which are met by the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the laser in the stable region to obtain the heat load corresponding to the non-light pumping threshold value;

obtaining an excited state absorption heat load according to the heat load corresponding to the lightless threshold;

and substituting the optimal pumping point power of the single-frequency laser and the cavity type parameters of the single-frequency laser into the conditions which are met by the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the light spots of the laser on the meridian plane and the sagittal plane at the optimal pumping point to obtain the excited state absorption heat load corresponding to the optimal pumping point.

Optionally, the obtaining of the non-optical pumping threshold and the optimal pumping point power of the single-frequency laser when the pumping power is reduced corresponding to the single-frequency laser specifically includes:

increasing and reducing the pump light power of the single-frequency laser, and recording the corresponding laser output power of the single-frequency laser under the condition of different injection pump powers by using a power meter;

acquiring single-frequency information;

and obtaining a non-optical pumping threshold value and the optimal pumping point power of the single-frequency laser corresponding to the single-frequency laser when the pumping power is reduced according to the laser output power table and the single-frequency information.

Optionally, the obtaining of the thermal lens focal length of the meridian plane and the thermal lens focal length of the sagittal plane of the laser gain crystal inside the single-frequency laser according to the thermal lens focal length formula of the meridian plane and the thermal lens focal length formula of the sagittal plane specifically includes:

according to the formula of the thermal lens of the laser gain crystal in the meridian plane

Figure BDA0002298567420000031

Obtaining the thermal lens focal length f of the meridian plane of the laser gain crystalt(thermal)

According to the thermal lens formula of the laser gain crystal in the sagittal plane

Figure BDA0002298567420000032

Obtaining the thermal lens focal length of the laser gain crystal sagittal plane;

wherein, K‖c、K⊥cThermal conductivity, omega, parallel and perpendicular to the laser gain crystal, respectivelypThe size of the waist spot of the pump light at the laser crystal, ξ is the thermal load, PPFor the amount of pump power injected into the laser crystal,

Figure BDA0002298567420000033

α is the absorption coefficient of the laser crystal to the pump light, l is the effective length of the doped part of the laser gain crystal, ft(thermal)Focal length of thermal lens in meridian plane of laser gain crystal, fs(thermal)The thermal lens focal length of the laser gain crystal sagittal plane.

Optionally, the obtaining an output matrix of the laser gain crystal in the meridian plane and an output matrix of the laser gain crystal in the sagittal plane according to the thermal lens focal length in the meridian plane, the thermal lens focal length in the sagittal plane, and the cavity type parameter of the single-frequency laser specifically includes:

adopting a formula according to the thermal lens focal length of the meridian plane and the cavity parameters of the single-frequency laser

Figure BDA0002298567420000041

Obtaining an output matrix of the laser gain crystal on the meridian plane

Figure BDA0002298567420000042

Adopting a formula according to the thermal lens focal length of the sagittal plane and the cavity type parameters of the single-frequency laser

Figure BDA0002298567420000043

Obtaining an output matrix of the laser gain crystal in the sagittal plane

Figure BDA0002298567420000044

Wherein the content of the first and second substances,

Figure BDA0002298567420000045

is an output matrix of the laser gain crystal in the meridian plane,

Figure BDA0002298567420000046

for the output matrix of the laser gain crystal in the sagittal plane, ft(thermal)Focal length of thermal lens in meridian plane of laser gain crystal, fs(thermal)Is the thermal lens focal length of the laser gain crystal sagittal plane,

Figure BDA0002298567420000047

the expressions of the other optical transmission matrixes on the meridian plane are shown;

Figure BDA0002298567420000048

the expressions of the rest optical transmission matrixes in the sagittal plane are shown.

Optionally, the obtaining an excited state absorption heat load according to the heat load corresponding to the dark threshold specifically includes:

when the single-frequency laser is in a stable region on the meridian plane and the sagittal plane at the same time, adopting a formula according to the corresponding thermal load at the position of the lightless threshold value

Figure BDA0002298567420000049

The excited state absorption heat load ξ is obtainedESA

Wherein λ isPIs the wavelength, λ, of the pump lightlIs the wavelength of the oscillating light after the light is emitted,ξESAto absorb the thermal load for the excited state, ξlasingThe heat load after light extraction.

Optionally, the substituting the optimal pump point power of the single-frequency laser and the cavity type parameter of the single-frequency laser into a condition that an output matrix of the laser gain crystal on a meridian plane, an output matrix of the laser gain crystal on a sagittal plane, and a light spot of the laser on the meridian plane and the sagittal plane at the optimal pump point should satisfy to obtain an excited state absorption heat load corresponding to the optimal pump point specifically includes:

when the laser resonant cavity is at the optimum pumping point, the light spots of the meridian plane and the sagittal plane should satisfy the formula

Figure BDA0002298567420000051

And then obtaining the excited state absorption heat load corresponding to the optimal pumping point according to the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the optimal pumping point power of the single-frequency laser.

According to the specific embodiment provided by the invention, the invention discloses the following technical effects:

when the method is used for measuring the excited state absorption heat load in the laser gain crystal, the complex thermal process generated by the crystal does not need to be analyzed too much, other optical systems do not need to be introduced, and the excited state absorption heat load in the laser gain crystal can be obtained only by measuring the quasi-bistable output characteristic curve of the single-frequency laser and monitoring the transmission spectrum of the output oscillation light.

Drawings

In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments 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 to obtain other drawings without inventive exercise.

FIG. 1 is a block diagram of an apparatus for measuring the excited state absorption thermal load in a laser gain crystal according to the present invention;

FIG. 2 is a flow chart of a method for measuring the excited state absorption thermal loading in a laser gain crystal according to the present invention;

FIG. 3 is a structural diagram of an apparatus for measuring the thermal load of the excited state absorption in the laser gain crystal in the 8-shaped annular cavity according to the present invention;

FIG. 4 is a structural diagram of an apparatus for measuring the excited state absorption heat load of a laser gain crystal in a standing wave cavity according to 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 by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.

The invention aims to provide a device and a method for measuring the excited state absorption heat load in a laser gain crystal, which can improve the measurement precision so as to accurately reflect the severity of the heat effect of the crystal.

In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.

FIG. 1 is a block diagram of an apparatus for measuring the excited state absorption thermal load in a laser gain crystal according to the present invention. As shown in fig. 1, an apparatus for measuring the thermal loading of excited state absorption in a laser gain crystal comprises: the device comprises a single-frequency laser 1, a power meter 2, a spectroscope 3, an F-P cavity 4, a photoelectric detector 5, an oscilloscope 6, a signal generator 7 and a high-voltage amplifier 8, wherein the spectroscope 3, the F-P cavity 4, the photoelectric detector 5, the oscilloscope 6, the signal generator 7 and the high-voltage amplifier 8 are sequentially connected.

The output oscillation light of the single-frequency laser 1 is injected into the power meter 2 after passing through the spectroscope 3, part of the oscillation light passing through the spectroscope 3 is injected into the F-P cavity 4, is converted into an electric signal by the photoelectric detector 5, and the electric signal output by the photoelectric detector 5 is input into the power meterThe oscilloscope 6 is used for recording the single-frequency characteristic of the single-frequency laser 1 under different injection powers; the oscilloscope 6 is connected with the signal generator 7, the signal generator 7 is used for generating low-frequency scanning signals, and the low-frequency scanning signals are loaded on the piezoelectric ceramics adhered in the F-P cavity 4 after being amplified by the high-voltage amplifier 8. The single frequency laser 1 comprises a laser gain crystal. YVO is Nd as laser gain crystal4And (4) crystals. The optical resonant cavity of the single-frequency laser 1 is a standing wave cavity or a traveling wave cavity.

FIG. 2 is a flow chart of a method for measuring the excited state absorption thermal loading in a laser gain crystal according to the present invention. As shown in fig. 2, a method for measuring an excited state absorption thermal loading in a laser gain crystal, the method using an apparatus for measuring an excited state absorption thermal loading in a laser gain crystal, the method comprising:

step 101: the method for obtaining the non-optical pumping threshold value and the optimal pumping point power of the single-frequency laser when the pumping power is reduced corresponding to the single-frequency laser specifically comprises the following steps:

and increasing and reducing the pump light power of the single-frequency laser, and recording the corresponding laser output power of the single-frequency laser under the condition of different injection pump powers by using a power meter.

Acquiring single-frequency information; a signal generator generates a low-frequency scanning signal, the low-frequency scanning signal is amplified by a high-voltage amplifier and then loaded on a piezoelectric ceramic adhered to an F-P cavity mirror, the cavity length of the F-P cavity is scanned, and an oscilloscope records the transmission spectrum, namely single-frequency information, of laser output by a single-frequency laser.

And obtaining a non-light pumping threshold value and the optimal pumping point power of the single-frequency laser when the pumping power is reduced corresponding to the single-frequency laser according to the laser output power table and the single-frequency information.

Step 102: and acquiring cavity parameters of the single-frequency laser.

Step 103: according to a meridian plane thermal lens focal length formula and a sagittal plane thermal lens focal length formula, obtaining a meridian plane thermal lens focal length and a sagittal plane thermal lens focal length of a laser gain crystal inside the single-frequency laser, and specifically comprising the following steps:

according to the formula of the thermal lens of the laser gain crystal in the meridian plane

Figure BDA0002298567420000071

Obtaining the thermal lens focal length f of the meridian plane of the laser gain crystalt(thermal)

According to the formula of the thermal lens of the laser gain crystal in the sagittal plane

Figure BDA0002298567420000072

And obtaining the thermal lens focal length of the laser gain crystal sagittal plane.

Wherein, K‖c、K⊥cThermal conductivity, omega, parallel and perpendicular to the laser gain crystal, respectivelypThe size of the waist spot of the pump light at the laser crystal, ξ is the thermal load, PPFor the amount of pump power injected into the laser crystal,

Figure BDA0002298567420000076

α is the absorption coefficient of the laser crystal to the pump light, l is the effective length of the doped part of the laser gain crystal, ft(thermal)Focal length of thermal lens in meridian plane of laser gain crystal, fs(thermal)The thermal lens focal length of the laser gain crystal sagittal plane.

Step 104: obtaining an output matrix of the laser gain crystal on the meridian plane and an output matrix of the laser gain crystal on the sagittal plane according to the thermal lens focal length of the meridian plane, the thermal lens focal length of the sagittal plane and the cavity type parameters of the single-frequency laser, and specifically comprising the following steps:

according to the focal length of the thermal lens in the meridian plane and the cavity parameters of the single-frequency laser, a formula is adoptedObtaining an output matrix of the laser gain crystal in the meridian plane

Figure BDA0002298567420000074

According to the thermal lens focal length of the sagittal plane and the cavity type parameters of the single-frequency laser, adopting a formulaObtaining the output matrix of the laser gain crystal in the sagittal plane

Figure BDA0002298567420000081

Wherein the content of the first and second substances,

Figure BDA0002298567420000082

is an output matrix of the laser gain crystal in the meridian plane,

Figure BDA0002298567420000083

for the output matrix of the laser gain crystal in the sagittal plane, ft(thermal)Focal length of thermal lens in meridian plane of laser gain crystal, fs(thermal)Is the thermal lens focal length of the laser gain crystal sagittal plane,

Figure BDA0002298567420000084

the expressions of the other optical transmission matrixes on the meridian plane are shown;

Figure BDA0002298567420000085

the expressions of the rest optical transmission matrixes in the sagittal plane are shown.

Step 105: substituting the non-light pumping threshold value when the pumping power is reduced and the cavity type parameters of the single-frequency laser into the conditions which are met by the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the laser in the stable region to obtain the heat load corresponding to the non-light pumping threshold value.

Step 106: obtaining an excited state absorption heat load according to a corresponding heat load at a dark threshold, specifically comprising:

when the single-frequency laser is in stable region in the meridian plane and the sagittal plane simultaneously, namely | At+Dt|≤2&|As+DsWhen | is less than or equal to 2, adopting a formula according to the corresponding heat load at the position of the lightless threshold

Figure BDA0002298567420000086

The excited state absorption heat load ξ is obtainedESA

Wherein λ isPIs the wavelength, λ, of the pump lightlξ is the wavelength of the oscillating light after the light is emittedESATo absorb the thermal load for the excited state, ξlasingThe heat load after light extraction.

Step 107: substituting the optimal pumping point power of the single-frequency laser and the cavity type parameters of the single-frequency laser into the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the conditions which the laser spot on the meridian plane and the sagittal plane of the optimal pumping point should meet to obtain the excited state absorption heat load corresponding to the optimal pumping point, and the method specifically comprises the following steps:

when the laser resonant cavity is at the optimum pumping point, the light spots of the meridian plane and the sagittal plane should satisfy the formula

Figure BDA0002298567420000087

And obtaining the excited state absorption heat load corresponding to the optimal pumping point according to the output matrix of the laser gain crystal on the meridian plane, the output matrix of the laser gain crystal on the sagittal plane and the optimal pumping point power of the single-frequency laser.

The invention provides a method for measuring the excited state absorption heat load in a laser gain crystal, which has the following principle: for Nd: YVO4For 1342nm laser generated by the laser crystal, because of the serious thermal effect and the obvious difference of the thermal effect when there is laser output, the obvious change of the thermal effect can reflect the change of the cavity type such as the stability of the laser resonant cavity. In turn, the magnitude of the thermal load absorbed by the excited state in the laser gain crystal with or without laser output can be deduced from the change of the laser cavity reflected by the change of the laser output power.

When the pumping wavelength is 880nm, the upper-level particles do not have corresponding energy level of excited state absorption in the situation of no laser radiation generation, and therefore the excited state absorption effect before light emergence is not considered as the pumping power is increased. For the quasi-bistable laser, after laser radiation, high-power laser radiation suddenly occurs to cause the particle number of an upper energy level to be suddenly reduced, the degree of the energy transfer up-conversion heat exchange effect is suddenly reduced, and when the transmissivity of the output coupling mirror to the fundamental frequency light is relatively low, the value of the energy transfer up-conversion heat exchange load is negligible. For the excited state absorption effect, the absorption cross section of the excited state absorption effect for 1342nm is only 1/10 of the excited absorption cross section, so the heat load after light extraction becomes the main source of the heat load of the laser except the main quantum defect.

Expression of heat load after light emission

Deduced heat load of excited state absorption after light emission

Figure BDA0002298567420000092

Wherein λ isPIs the wavelength, λ, of the pump lightlξ is the wavelength of the oscillating light after the light is emittedESATo absorb the thermal load for the excited state, ξlasingThe heat load after light extraction.

Taking the thermal lens at the crystal as a starting point, listing the ABCD transmission matrix of the thermal lens in the meridian plane and the sagittal plane as

The formula of the thermal lens of the laser gain crystal in the meridian plane is

Figure BDA0002298567420000103

And the formula of the thermal lens of the laser gain crystal in the sagittal plane is

Figure BDA0002298567420000104

Wherein, K‖c、K⊥cThermal conductivity, omega, parallel and perpendicular to the laser gain crystal, respectivelypThe size of the waist spot of the pump light at the laser crystal, ξ is the thermal load, PPFor the amount of pump power injected into the laser crystal,

Figure BDA0002298567420000105

α is the absorption and absorption of the laser crystal to the pump light, and l is the effective length of the doped part of the laser gain crystal.

Substituting the measured pump power-reduced pump-free threshold value into

|At+Dt|≤2&|As+Ds|≤2 (7)

That is, when the laser is just in the stable region of the meridian plane and the sagittal plane, the corresponding thermal load at the dark threshold can be obtained, and then ξ can be obtained by the expression of the thermal load absorbed by the excited stateESA

Under the condition of oscillating light radiation, the pumping power value corresponding to the optimal operation state of the laser can be obtained according to the output power condition and single frequency of the laser. The light spots of the meridian plane and the sagittal plane corresponding to the laser gain crystal in the state meet the formula

Figure BDA0002298567420000106

The total heat load obtained by the formula is combined with the excited state absorption heat load formula 2 to obtain the excited state absorption heat load value in the optimal working state. The measuring method provides an effective way for specifically researching the thermal characteristics of the laser gain crystal.

Compared with the prior art, the invention has the following advantages:

1. when the method is used for measuring the excited state absorption heat load in the laser gain crystal, the complex thermal process generated by the crystal does not need to be analyzed too much, other optical systems do not need to be introduced, and the excited state absorption heat load in the laser gain crystal can be obtained only by measuring the quasi-bistable output characteristic curve of the single-frequency laser and monitoring the transmission spectrum of the output oscillation light.

2. The invention is suitable for measuring the thermal effect of any gain crystal with the quasi-bistable output characteristic.

3. The invention is suitable for measuring the heat load absorbed by the excited state in the laser gain crystal in different cavity structures.

4. On the basis of measuring the excited state absorption heat load in the laser gain crystal, the invention can further analyze the influence of the transmittance of the laser output coupling mirror on the size of the excited state absorption heat load, thereby providing a powerful reference for further improving the output power of the laser.

In a word, the invention can accurately measure the excited state absorption heat load in the laser gain crystal with the quasi-bistable output characteristic, has simple device and simple and convenient operation, and can also specifically research the heat load change under the conditions of different transmittances.

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