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Rigorous interference and diffraction analysis of diffractive optic elements using the finite-difference time-domain method

机译:时域有限差分法对衍射光学元件的严格干涉和衍射分析

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摘要

The Finite-Difference Time-Domain (FDTD) method has proven to be a useful tool to analyze electromagnetic scattering phenomena. In this work, the FDTD method is applied at optical wavelengths. More precisely, we present the results obtained using the FDTD algorithm to simulate the performance of optical devices such as volume diffraction gratings. The Perfectly Matched Layers (PML), Total-Field Scattered-Field formulation (TF/SF) and Near-Field to Far-Field transformation (NF/FF) are some add-ons included in order to correctly calculate the far field distribution obtained from the numerical near-field values computed in the simulation region. These values in the near-field region are computed by illuminating the grating with of a plane wave at the Bragg angle of incidence. In addition, we compare the results obtained by the FDTD method to those obtained using the Rigorous Coupled Wave Theory (RCWT) applied to diffraction gratings. As will be seen in this paper there is good agreement between the two approaches, thus validating our FDTD implementation.
机译:时域有限差分(FDTD)方法已被证明是分析电磁散射现象的有用工具。在这项工作中,FDTD方法应用于光波长。更准确地说,我们介绍使用FDTD算法获得的结果,以模拟诸如体积衍射光栅之类的光学设备的性能。包括完全匹配层(PML),总场散射场公式(TF / SF)和近场到远场转换(NF / FF)是为了正确计算获得的远场分布而增加的一些功能从模拟区域中计算出的数字近场值中得出。通过用布拉格入射角的平面波照射光栅,可以计算出近场区域中的这些值。此外,我们将通过FDTD方法获得的结果与使用应用于衍射光栅的严格耦合波理论(RCWT)获得的结果进行了比较。从本文中可以看出,这两种方法之间有很好的一致性,从而验证了我们的FDTD实现。

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