Research of the Compensation for Phase-Tilt Aberration with an Confocal Unstable Resonator

Xiang Zhang
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Abstract

The influence on outcoupled mode by introducing intracavity tilt-perturbation in confocal unstable resonator is analyzed. The intracavity mode properties and Zernike-aberration coefficient of intrcacity mirror's maladjustment are calculated theoretically. The experimental results about the relations of intracavity mirror maladjustment and the properties of mode aberration are presented by adopting Hartmann-Shack wavefront sensor. The results show that the intracavity perturbation of the concave mirror has more remarkable effect on outcoupled beam-quality than that of the convex mirror. For large Fresnel-number resonator, the tilt angle of intracavity mirror has a close linear relationship with extracavity Zernike tilt coefficient. The ratio of tilt aberration coefficient approaches to the magnification of unstable resonator if equivalent perturbation is applied to concave mirror and convex mirror respectively. Furthermore, astigmatism and defocus aberration also increase with the augment of tilt aberration of beam mode. So intracavity phase-corrected elements used in unstable resonator should be close to the concave mirror. Based these results, a set of autocontrol system of intracavity tilt aberration is established and the aberration-corrected results are analyzed detailedly.
用共焦不稳定谐振腔补偿相倾斜像差的研究
分析了在共焦不稳定谐振腔中引入腔内倾斜微扰对外耦合模的影响。从理论上计算了镜腔内模特性和镜腔差的泽尼克像差系数。采用哈特曼-夏克波前传感器,给出了腔内反射镜失调与模像差特性关系的实验结果。结果表明,凹面镜腔内扰动对光束质量的影响比凸面镜腔内扰动更显著。对于大菲涅耳数谐振腔,腔内反射镜的倾斜角与腔外泽尼克倾斜度系数呈密切的线性关系。对凹面镜和凸面镜分别施加等效摄动,倾斜像差系数的比值接近于不稳定谐振腔的放大倍数。此外,像散和离焦像差也随着光束模式倾斜像差的增大而增大。因此,用于不稳定谐振腔的腔内相位校正元件应靠近凹面镜。在此基础上,建立了一套腔内倾斜像差自动控制系统,并对像差校正结果进行了详细分析。
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