Zhang Site, Asoubar Daniel, Hellmann Christian, Wyrowski Frank
Appl Opt. 2016 Jan 20;55(3):529-38. doi: 10.1364/AO.55.000529.
The propagation of electromagnetic fields between non-parallel planes based on a spectrum-of-plane-wave analysis is discussed and formulations for an efficient numerical implementation are presented in detail. It is shown that with the help of interpolation techniques, the numerical implementation can be done with the standard uniform fast Fourier transform (FFT) of easy access. Different interpolation techniques are numerically examined, and it turns out that the use of cubic interpolation, together with the uniform FFT, brings both significantly increased computational efficiency and high simulation accuracy. Apart from the aspect of computational efficiency, all formulations in this work are generalized in a fully vectorial manner in comparison to previous works.
基于平面波谱分析讨论了非平行平面间电磁场的传播,并详细给出了高效数值实现的公式。结果表明,借助插值技术,可利用易于获取的标准均匀快速傅里叶变换(FFT)进行数值实现。对不同的插值技术进行了数值检验,结果表明,三次插值与均匀FFT结合使用,可显著提高计算效率并具有较高的模拟精度。除计算效率方面外,与以往工作相比,本工作中的所有公式均以全矢量方式进行了推广。