Fractional Fourier transform for partially coherent beam in spatial-frequency domain

• 来源期刊: 中国物理（英文版）
• 关键词: fractional Fourier transform partially coherent beam spatial-frequency domain
• 年，卷（期）: 2004,（7）
• 页码范围: 1025-1032
• 页数: 8页
• 语种: 英文

摘要

By using Fourier transform and the tensor analysis method, the fractional Fourier transform (FRT) in the spatialfrequency domain for partially coherent beams is derived. Based on the FRT in the spatial-frequency domain, an analytical transform formula is derived for a partially coherent twisted anisotropic Gaussian-Schell model (GSM) beam passing through the FRT system. The connections between the FRT formula and the generalized diffraction integral formulae for partially coherent beams through an aligned optical system and a misaligned optical system in the spatialfrequency domain are discussed, separately. By using the derived formula, the intensity distribution of partially coherent twisted anisotropic GSM beams in the FRT plane are studied in detail. The formula derived provide a convenient tool for analysing and calculating the FRTs of the partially coherent beams in spatial-frequency domain.