Engelberg Yaakov M, Ruschin Shlomo
Chiaro Networks Ltd., 5 Nachum Hefzadi Street, Jerusalem 95484, Israel.
J Opt Soc Am A Opt Image Sci Vis. 2004 Nov;21(11):2135-45. doi: 10.1364/josaa.21.002135.
A method is presented that expands the scheme of physical optics propagation beyond the Fresnel approximation to include beams that are nonparaxial. The formalism retains most of the calculation advantages of the Fresnel approach; i.e., it is based on a single Fourier transform step. The kernel of the new transformation is no longer separable in Cartesian coordinates; thus the formalism can account for astigmatic coupling effects originating purely from diffraction. The validity limits of the proposed algorithm are explored. Analytical expressions, numerical simulation results, and experimental data are compared.
本文提出了一种方法，该方法将物理光学传播方案扩展到菲涅耳近似之外，以包括非傍轴光束。该形式体系保留了菲涅耳方法的大部分计算优势；即，它基于单个傅里叶变换步骤。新变换的核在笛卡尔坐标中不再可分离；因此，该形式体系可以解释纯粹由衍射引起的像散耦合效应。探索了所提出算法的有效性极限。对解析表达式、数值模拟结果和实验数据进行了比较。
