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ISSN: 1023-5086

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ISSN: 1023-5086

Scientific and technical

Opticheskii Zhurnal

A full-text English translation of the journal is published by Optica Publishing Group under the title “Journal of Optical Technology”

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DOI: 10.17586/1023-5086-2023-90-12-24-34

УДК: 621.373.8

Evaluation of the effect of mirror shape distortions on the optical quality of radiation in unstable resonators

Strakhov, S.Y., Savin A.V., Sotnikova, N.V.

Full text on elibrary.ru

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Страхов С.Ю., Савин А.В., Сотникова Н.В. Оценка влияния искажений формы зеркал на оптическое качество излучения в неустойчивых резонаторах // Оптический журнал. 2023. Т. 90. № 12. С. 24–34. http://doi.org/10.17586/1023-5086-2023-90-12-24-34

 

Strakhov S.Yu., Savin A.V., Sotnikova N.V. Evaluation of the effect of mirror shape distortions on the optical quality of radiation in unstable resonators [In Russian] // Opticheskii Zhurnal. 2023. V. 90. № 12. P. 24–34. http://doi.org/10.17586/1023-5086-2023-90-12-24-34

For citation (Journal of Optical Technology):
-
Abstract:

Subject of study. An unstable telescopic optical resonator. Aim of study. A quantification of small-scale mirror inhomogeneities, especially in unstable resonators, and their effect on M2 parameter, Strehl number and radiation divergence angle. Method. A numerical modeling of the structure of small-scale inhomogeneity of mirrors as a homogeneous normal random field given by an exponential-cosine correlation function, with further modeling of unstable resonator in a geometric approximation using mirrors as "phase screens" and subsequent determination of the characteristics of the radiation optical quality from its radiation pattern. A method of analytical calculation of the radiation optical quality after the unstable resonator with intracavity phase inhomogeneities is also proposed. Main results. The paper considers the effect of mirror shape distortions on the optical quality of radiation in unstable resonators. The influence of the level and the characteristic type of distortion on M2 parameter, Strehl number, radiation divergence angle is investigated. The nature of the dependence of these optical quality indicators on the resonator magnification coefficient, the correlation radius and the standard deviation of the mirror surface shape is shown. The calculated ratios for estimation of the upper and lower limits of the range of changes in optical quality indicators depending on the parameters of the resonator and the specific type of mirror distortion are proposed. Practical significance. The results of numerical simulation of the unstable resonator are compared to the quantitative estimates made on the basis of the proposed calculation ratios. Based on the analysis of the results, practical recommendations and conclusions are formulated allowing to correctly take into account the influence of mirror shape distortions on the optical quality of radiation when designing the resonator.

Keywords:

unstable resonator, M2 parameter, Strehl number, radiation divergence angle, mirror shape distortion

OCIS codes: 140.4780

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