Semi-analytic simulation of optical wave propagation through turbulence

Author:

Schmidt Jason D.1ORCID,Tellez Jason A.1,Gbur Gregory J.2ORCID

Affiliation:

1. MZA Associates Corporation

2. University of North Carolina at Charlotte

Abstract

Split-step wave-optical simulations are useful for studying optical propagation through random media like atmospheric turbulence. The standard method involves alternating steps of paraxial vacuum propagation and turbulent phase accumulation. We present a semi-analytic approach to evaluating the Fresnel diffraction integral with one phase screen between the source and observation planes and another screen in the observation plane. Specifically, we express the first phase screen’s transmittance as a Fourier series, which allows us to bring phase screen effects outside of the Fresnel diffraction integral, thereby reducing the numerical computations. This particular setup is useful for simulating astronomical imaging geometries and two-screen laboratory experiments that emulate real turbulence with phase wheels, spatial light modulators, etc. Further, this is a key building block in more general semi-analytic split-step simulations that have an arbitrary number of screens. Compared with the standard angular-spectrum approach using the fast Fourier transform, the semi-analytic method provides relaxed sampling constraints and an arbitrary computational grid. Also, when a limited number of observation-plane points is evaluated or when many time steps or random draws are used, the semi-analytic method can compute faster than the angular-spectrum method.

Funder

Air Force Research Laboratory

Publisher

Optica Publishing Group

Subject

Atomic and Molecular Physics, and Optics,Engineering (miscellaneous),Electrical and Electronic Engineering

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quasi-random frequency sampling for optical turbulence simulations;Optics Continuum;2024-05-15

2. Semi-analytic simulation of closed-form sources propagating through turbulence;Unconventional Imaging, Sensing, and Adaptive Optics 2023;2023-10-03

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