Abstract

Turbulent phase screens are commonly used in split-step, wave-optics simulations of light propagation through long atmospheric paths. Here, we describe the generation of turbulent phase gradient and Laplacian screens, as a complement to phase screens. These have applications in split-step, ray-trace simulations through turbulence, and the study of various wavefront sensors. Our method is based on a simple modification of the corresponding phase screens’ Fourier coefficients. Second-order statistics of the synthesized gradient screens are verified using a recently published method to estimate Zernike mode coefficients from a grid of phase derivative values. To perform a similar verification of the Laplacian screens, we derive a set of polynomials for estimating Zernike mode coefficients from a grid of phase Laplacian values.

Statistical Interpolation Method of Turbulent Phase Screen

Han-Ling Wu, Hai-Xing Yan, Xin-Yang Li, and Shu-Shan Li
Opt. Express 17(17) 14649-14664 (2009)

Phase-factor spectra of turbulent phase screens

Andreas Muschinski
J. Opt. Soc. Am. A 38(9) 1339-1348 (2021)

Fractal phase screen generation algorithm for atmospheric turbulence

Huili Zhai, Bulan Wang, Jiankun Zhang, and Anhong Dang
Appl. Opt. 54(13) 4023-4032 (2015)

Dynamic phase-deforming interferometry: suppression of errors from vibration and air turbulence

Yi Zong, Jianxin Li, Mingliang Duan, Guoliang Chen, Wenqian Lu, Rihong Zhu, and Lei Chen
Opt. Lett. 44(16) 3960-3963 (2019)

Phase correction for a distorted orbital angular momentum beam using a Zernike polynomials-based stochastic-parallel-gradient-descent algorithm

Guodong Xie, Yongxiong Ren, Hao Huang, Martin P. J. Lavery, Nisar Ahmed, Yan Yan, Changjing Bao, Long Li, Zhe Zhao, Yinwen Cao, Moshe Willner, Moshe Tur, Samuel J. Dolinar, Robert W. Boyd, Jeffrey H. Shapiro, and Alan E. Willner
Opt. Lett. 40(7) 1197-1200 (2015)