有限差分光束传输法的分析

ANALYSIS OF THE FINITE DIFFERENCE BEAM PROPAGATION METHOD

结合辐射可透边界条件,由 Maxwell 方程导出了 TE 模和 TM 模的 FD-BPM 法基本公式,通过对数值误差引起的计算损耗和传播常数的误差分析,对算法进行了评估。

A finite difference beam propagation method(FD-BPM)is analyzed and assessed for the application to two-dimensional structures.The general formulations for the FD-BPM are derived form Maxwell equations for TE mode and TM mode respectively,with the transparent boundary condition (TBC).The FD-BPM is assessed by computing the loss caused by the numerical error and the percentage error of the propagation constants of the TE and TM modes of a step-index slab waveguide.Based on this assessment,FD-BPM appears to be a good tool for the analysis and simulation of the optical waveguide devices and a exellent method for the computer-aided-design in Integrated Optoelectronics.