Methodology for numerical simulation of an optical resonator and calculation of electromagnetic radiation parameters taking into account stochastic phase distortions


Аuthors

Strakhov S. Y.*, Sotnikova N. V., Mishina O. A.**

Baltic State Technical University “VOENMEH ” named after D.F. Ustinov, 1, 1st Krasnoarmeyskaya str., Saint Petersburg, 190005, Russia

*e-mail: strakhov_siu@voenmeh.ru
**e-mail: olga_a_mishina@mail.ru

Abstract

The paper presents a methodology for numerical modeling of laser optical systems, in particular, an optical resonator, based on the integration of various numerical modeling tools. It is proposed to jointly use an original resonator calculation program written in the Delphi to determine the parameters of electromagnetic radiation at the output of a laser resonator and a fast discrete Fourier transform (FFT) modeling block in the MathCad to calculate the transport of radiation into the far zone (Fraunhofer diffraction zone).
This integration allows to significantly simplify the original code of the resonator calculation program in Delphi by excluding the FFT algorithms from it and transferring them to MathCad, which, unlike Delphi, has the corresponding library modules. The article discusses the general calculation algorithm, its main modules, and presents the results of modeling an optical resonator in the presence of random inhomogeneities on the mirrors on the optical resonator and (or) in the laser active medium.
The paper also discusses the features of using standard FFT algorithms for modeling the propagation of laser radiation into the far zone and calculating its main parameters – the divergence angle, the Strehl ratio, and the optical quality parameter M2.

Keywords:

optical resonator, diffraction approximation, numerical simulation, Strehl ratio, optical quality parameter M2

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