Computation of diffracted fields for the case of high numerical aperture using the angular spectrum method
Computation of diffracted fields for the case of high numerical aperture using the angular spectrum method
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DOI：
10.1364/ao.51.007080
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发表时间：
2012-10-10
期刊：
影响因子：
1.9
通讯作者：
Kujawinska, Malgorzata
中科院分区：
文献类型：
--
作者：
Kozacki, Tomasz;Falaggis, Konstantinos;Kujawinska, Malgorzata
角谱法是求解亥姆霍兹方程的一种常用方法，它不需要近似。在这项工作中，新的标准的采样要求使用维格纳分布（WD）。结果表明，对于高数值孔径的情况下，传统的AS方法需要一个非常大量的零填充，使它不切实际，由于对内存和计算工作的要求。这项工作提出了使用一个修改后的AS算法，只评估非零组件的字段。从WD与修改后的AS算法相结合，使一个准确和有效的现场计算的情况下，传统的AS方法不能实现的结果。(C)2012美国光学学会
The angular spectrum (AS) method is a popular solution to the Helmholtz Equation without the use of approximations. In this work, new criteria on sampling requirements are derived using the Wigner distribution (WD). It is shown that for the case of high numerical aperture the conventional AS method requires a very large amount of zero-padding, making it impractical due to requirements on memory and computational effort. This work proposes the use of a modified AS algorithm that evaluates only non-zero components of the field. The results obtained from the WD combined with the modified AS algorithm enable an accurate and efficient field computation for cases where the conventional AS method cannot be implemented. (C) 2012 Optical Society of America