全固态激光腔内光束净化技术研究
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摘要
全固态激光腔内光束净化技术是获得高平均功率、高光束质量、高效率激光输出的重要手段。但是腔内光束净化的理论研究并不完善，针对这一现状，本文利用Fox-Li数值迭代算法，明晰腔内光束净化对波前校正器像差校正能力的要求；建立腔内光束净化的数值仿真模型，为研究腔内净化提供参考；建立基于随机并行梯度下降（SPGD）算法全固态激光腔内光束净化装置，并与腔内光束净化数值分析结果进行对比。
本文首先通过研究净化后残余像差对谐振腔的影响来确定对变形镜像差校正能力的要求。残余像差可以表征为一系列泽尼克多项式的加权叠加。仿真中改变某一阶次泽尼克多项式的权重因子，令其他阶次的权重因子为零，由Fox-Li数值迭代算法计算残余像差对谐振腔衍射损耗和光束质量的影响。数值分析表明为了获得近衍射极限的输出，残余像差的PV值应小于λ/10。从而明确了腔内光束净化对波前校正器像差校正能力的要求。
然后基于Fox-Li数值迭代算法建立了激光腔内光束净化的数值仿真模型。本文使用SPGD算法作为控制算法进行腔内光束净化仿真。闭环仿真的结果表明，随着SPGD算法迭代次数的增加，输出光束质量逐渐接近衍射极限。
最后建立了基于SPGD算法的全固态激光腔内光束净化闭环实验装置，并进行了净化实验，净化前激光器输出光束M21.92，净化后M21.22接近衍射极限。将实验数据与数值仿真模型所得结果进行对比，可知本文建立的腔内光束净化数值仿真模型能够反映出腔内光束净化的物理过程。
Intra-cavity beam cleanup is an important technique to achieve high averagepower, high beam quality and high efficiency all solid-state laser output. Howevertheoretical research about intra-cavity beam cleanup is involved little. With regard tothis problem, a series of study is carried on in this paper. Using fox-li iterative methodto the parameters of deformable mirror used in intra-cavity beam cleanup is clarified.In this paper, a simulating model of intra-cavity beam cleanup is founded. Thenumerical results settle foundation for further study of intra-cavity beam cleanup. Andan experiment study testified validity of this simulating model.
First, this paper discussed how distortions affect the output beam quality anddiffraction loss of cavity. The distortions are decomposed by a series of Zernikepolynomials with weighting factors. The diffraction loss and beam quality ofaberrated cavity with Zernike distortion are calculated though fox-li, by changing onlyon value of weighting factors, and the other weighting factors are equal to zero.Numerical analysis results show that in order to get diffraction limited beam quality,the peak-to-valley (PV) of aberration should be less than λ/10.
Second, a simulating model about intra-cavity beam cleanup is founded base onFox-li iterative method. The simulation results show that the output beam qualityapproaches ideal parameter as iterations of SPGD algorithm increased.
At last, a test system experiment of intra-cavity beam cleanup system wasbuilded, and a lot experiments are tested under a diode pumped rod Nd:YAG laser.The beam quality M2of ideal TEM00is equal to1. The initializing beam quality M2isequal to1.92, and beam quality M2is reduced to1.22after beam cleanup. Thisexperiment result shows that laser beam is closer to ideal beam. The results ofexperimental data and numerical simulation model comparison show that thesimulation model can reflect the physical process of intracavity beam cleanup.
本文首先通过研究净化后残余像差对谐振腔的影响来确定对变形镜像差校正能力的要求。残余像差可以表征为一系列泽尼克多项式的加权叠加。仿真中改变某一阶次泽尼克多项式的权重因子，令其他阶次的权重因子为零，由Fox-Li数值迭代算法计算残余像差对谐振腔衍射损耗和光束质量的影响。数值分析表明为了获得近衍射极限的输出，残余像差的PV值应小于λ/10。从而明确了腔内光束净化对波前校正器像差校正能力的要求。
然后基于Fox-Li数值迭代算法建立了激光腔内光束净化的数值仿真模型。本文使用SPGD算法作为控制算法进行腔内光束净化仿真。闭环仿真的结果表明，随着SPGD算法迭代次数的增加，输出光束质量逐渐接近衍射极限。
最后建立了基于SPGD算法的全固态激光腔内光束净化闭环实验装置，并进行了净化实验，净化前激光器输出光束M21.92，净化后M21.22接近衍射极限。将实验数据与数值仿真模型所得结果进行对比，可知本文建立的腔内光束净化数值仿真模型能够反映出腔内光束净化的物理过程。
Intra-cavity beam cleanup is an important technique to achieve high averagepower, high beam quality and high efficiency all solid-state laser output. Howevertheoretical research about intra-cavity beam cleanup is involved little. With regard tothis problem, a series of study is carried on in this paper. Using fox-li iterative methodto the parameters of deformable mirror used in intra-cavity beam cleanup is clarified.In this paper, a simulating model of intra-cavity beam cleanup is founded. Thenumerical results settle foundation for further study of intra-cavity beam cleanup. Andan experiment study testified validity of this simulating model.
First, this paper discussed how distortions affect the output beam quality anddiffraction loss of cavity. The distortions are decomposed by a series of Zernikepolynomials with weighting factors. The diffraction loss and beam quality ofaberrated cavity with Zernike distortion are calculated though fox-li, by changing onlyon value of weighting factors, and the other weighting factors are equal to zero.Numerical analysis results show that in order to get diffraction limited beam quality,the peak-to-valley (PV) of aberration should be less than λ/10.
Second, a simulating model about intra-cavity beam cleanup is founded base onFox-li iterative method. The simulation results show that the output beam qualityapproaches ideal parameter as iterations of SPGD algorithm increased.
At last, a test system experiment of intra-cavity beam cleanup system wasbuilded, and a lot experiments are tested under a diode pumped rod Nd:YAG laser.The beam quality M2of ideal TEM00is equal to1. The initializing beam quality M2isequal to1.92, and beam quality M2is reduced to1.22after beam cleanup. Thisexperiment result shows that laser beam is closer to ideal beam. The results ofexperimental data and numerical simulation model comparison show that thesimulation model can reflect the physical process of intracavity beam cleanup.
引文
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