Bucci Davide, Martin Bruno, Morand Alain
IMEP-LAHC, Grenoble INP-Minatec: 3, Grenoble, France.
J Opt Soc Am A Opt Image Sci Vis. 2012 Mar 1;29(3):367-73. doi: 10.1364/JOSAA.29.000367.
This paper deals with a full vectorial generalization of the aperiodic Fourier modal method (AFMM) in cylindrical coordinates. The goal is to predict some key characteristics such as the bending losses of waveguides having an arbitrary distribution of the transverse refractive index. After a description of the method, we compare the results of the cylindrical coordinates AFMM with simulations by the finite-difference time-domain (FDTD) method performed on an S-bend structure made by a 500 nm × 200 nm silicon core (n=3.48) in silica (n=1.44) at a wavelength λ=1550 nm, the bending radius varying from 0.5 up to 2 μm. The FDTD and AFMM results show differences comparable to the variations obtained by changing the parameters of the FDTD simulations.
本文探讨了圆柱坐标系中非周期傅里叶模态方法（AFMM）的全矢量推广。目的是预测一些关键特性，例如具有任意横向折射率分布的波导的弯曲损耗。在对该方法进行描述之后，我们将圆柱坐标系AFMM的结果与通过有限差分时域（FDTD）方法对由二氧化硅（n = 1.44）中500 nm×200 nm硅芯（n = 3.48）制成的S形弯曲结构进行模拟的结果进行比较，波长λ = 1550 nm，弯曲半径从0.5变化到2μm。FDTD和AFMM的结果显示出的差异与通过改变FDTD模拟参数所获得的变化相当。
