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Accurate Zernike-Corrected Phase Screens for Arbitrary Power Spectra

2024/02/07 by David Bachmann, Mathieu Isoard, Bachmann, David +7
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Adaptive optics and wavefront sensing #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Physical sciences #Geophysical and Geoelectrical Methods #Optics (physics.optics) #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.2402.04826

openalex publication_date 2024/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Wave propagation through random continuous media remains an important fundamental problem with applications ranging from remote sensing to quantum communication. Typically, such media are characterized by smooth refractive index fluctuations whose impact on the wave can be captured by the stochastic parabolic equation. The latter can be solved numerically by means of a split-step method, which replaces the continuous medium with a number of discrete phase screens derived from the medium's power spectrum. We introduce and benchmark highly accurate and efficient hybrid phase screens for arbitrary power spectra which are based on the combination of Zernike and Fourier phase screens.

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