Abstract

In this article, the gradient smoothing method is introduced for the first time to the time domain analysis of photonic devices. The proposed method combines the advantages of finite difference and finite element methods. It is capable of accurately modelling irregularly-shaped geometries by dividing the computational domain into elements like the finite element method. While it naturally produces a diagonal matrix for the field discretization similar to the finite difference method which makes it a perfect method for explicit time marching schemes. The beam propagation method with explicit time discretization is adopted for the propagation in time. Additionally, a novel stretched coordinate perfectly matched layer with two auxiliary equations is developed for the proposed method. The numerical aspects of the proposed method are demonstrated through the analysis of different photonic integrated structures.

Efficient smoothed finite element time domain analysis for photonic devices

Khaled S. R. Atia, A. M. Heikal, and S. S. A. Obayya
Opt. Express 23(17) 22199-22213 (2015)

Split-step finite-difference time-domain method with perfectly matched layers for efficient analysis of two-dimensional photonic crystals with anisotropic media

Gurpreet Singh, Eng Leong Tan, and Zhi Ning Chen
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Perfectly matched layer absorption boundary condition in planewave based transfer-scattering matrix method for photonic crystal device simulation

Ming Li, Xinhua Hu, Zhuo Ye, Kai-Ming Ho, Jiangrong Cao, and Mamoru Miyawaki
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Stretched-coordinate PMLs for Maxwell’s equations in the discontinuous Galerkin time-domain method

Michael König, Christopher Prohm, Kurt Busch, and Jens Niegemann
Opt. Express 19(5) 4618-4631 (2011)

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Jean Paul Hugonin and Philippe Lalanne
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