Band-Limited Angular Spectrum Method for Numerical Simulation of Free-Space Propagation in Far and Near Fields
Band-Limited Angular Spectrum Method for Numerical Simulation of Free-Space Propagation in Far and Near Fields
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DOI：
10.1364/oe.17.019662
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发表时间：
2009-10-26
期刊：
影响因子：
3.8
通讯作者：
Shimobaba, Tomoyoshi
中科院分区：
文献类型：
--
作者：
Matsushima, Kyoji;Shimobaba, Tomoyoshi
提出了一种模拟自由空间传播的新方法。该方法是对角谱法（AS）的改进。该AS不包括任何传播距离的近近值，因为其公式是直接从瑞利-索默菲尔德方程导出的。然而，由于传递函数的采样问题，即使在菲涅耳区域，它也会产生严重的数值误差，因此不是一种全面的方法。该方法通过限制传播场的带宽来解决这一问题，并扩大了精确场的计算范围。并对带宽限制的有效性进行了讨论。(C) 2009年美国光学学会
A novel method is proposed for simulating free-space propagation. This method is an improvement of the angular spectrum method (AS). The AS does not include any approximation of the propagation distance, because the formula thereof is derived directly from the Rayleigh-Sommerfeld equation. However, the AS is not an all-round method, because it produces severe numerical errors due to a sampling problem of the transfer function even in Fresnel regions. The proposed method resolves this problem by limiting the bandwidth of the propagation field and also expands the region in which exact fields can be calculated by the AS. A discussion on the validity of limiting the bandwidth is also presented. (C) 2009 Optical Society of America