Sinc method for generating and extending phase screens of atmospheric turbulence.

We present a method, based on sinc series approximation, for generating and extending phase screens of atmospheric turbulence in real time to arbitrary lengths. Unlike phase screen representations based on the Fourier series, the sinc approximation is naturally suited to problems on infinite domains and thus avoids the problem of artificial periodicity inherent in the Fourier series. In particular, phase screens generated using the sinc method have accurate non-periodic statistics throughout the computational domain.

Numerical simulation of optical propagation using sinc approximation.

This paper further develops a recently proposed method for computing the diffraction integrals of optics based on sinc series approximation by presenting a numerical implementation, parameter selection criteria based on rigorous error analysis, and example optical propagation simulations demonstrating those criteria. Unlike fast Fourier transform (FFT)-based methods that are based on Fourier series, such as the well-known angular spectrum method (ASM), the sinc method uses a basis that is naturally suited to problems on an infinite domain. As such, it has been shown that the sinc method avoids the problems of artificial periodicity inherent in the ASM.