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Split-step wave-optical simulations are useful for studying optical propagation through random media like at- mospheric 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 a phase screen in the source plane, which is a key building block in split-step simulations. Compared to 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 are evaluated or when many time steps are used, the semi-analytic method computes faster than the angular-spectrum method.
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Jason D. Schmidt, Jason A. Tellez, Gregory J. Gbur, "Semi-analytic simulation of optical wave propagation through turbulence with arbitrary phase screen placement," Proc. SPIE 11834, Laser Communication and Propagation through the Atmosphere and Oceans X, 118340O (1 August 2021); https://doi.org/10.1117/12.2596797