An Algorithm to Study of the Influence of Partial-Coherent Lights through Three-Dimensional Periodic Microstructures

Abstract

A transfer-matrix algorithm is presented herein as a beginning to study the transmission characteristics of coherent light through three-dimensional periodic microstructures, in which the structures are treated as two-dimensional-layer stacks and multiple reflections are considered negligible.The spatial-correlated noise is further introduced layer by layer to realize the actual decoherence of the light and allows for statistical investigation of the partial spatially coherent optics in transparent mediums. Numerical analyses show comparable results to the Gaussian Schell model in free-space cases, indicating the validity of the algorithms.

Approximate scheme by the coupled-wave theory to efficiently analyze the influences of moiré phenomena in liquid-crystal devices

“…1. Using the coupled-wave theory, a coupling-matrix formula describing the propagations of waves through the device is given as in our previous work [12,24]:…”

Iterative phase retrieval with partially coherent beams

“…Many effective numerical methods have been proposed to solve the TIE, such as the Green's function method [3,7], the Zernike polynomial expansion method [8], the fast Fourier transform (FFT) method [9,10], and the multi-grid method [10,11]. TIE has further been applied in a variety of applications including adaptive optics [11,12], microscopy [13,14], x-ray optics [15,16], etc, but the fundamental problems inherent in these methods are the non-linear effect of the higher-order intensity derivatives, the noise effect [17], and the finite optical coherence [16,18,19] which are essential considerations in industrial applications. Multiple intensity measurements [20][21][22] can mitigate the non-linear effect by estimating the higher-order intensity derivatives and thus can improve the accuracy of the retrieved phase.…”