Efficient numerical method for analyzing optical bistability in photonic crystal microcavities

被引:14
作者
Yuan, Lijun [1 ]
Lu, Ya Yan [2 ]
机构
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
TRANSMISSION; CYLINDERS; SCHEME; ARRAYS;
D O I
10.1364/OE.21.011952
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Nonlinear optical effects can be enhanced by photonic crystal microcavities and be used to develop practical ultra-compact optical devices with low power requirements. The finite-difference time-domain method is the standard numerical method for simulating nonlinear optical devices, but it has limitations in terms of accuracy and efficiency. In this paper, a rigorous and efficient frequency-domain numerical method is developed for analyzing nonlinear optical devices where the nonlinear effect is concentrated in the microcavities. The method replaces the linear problem outside the microcavities by a rigorous and numerically computed boundary condition, then solves the nonlinear problem iteratively in a small region around the microcavities. Convergence of the iterative method is much easier to achieve since the size of the problem is significantly reduced. The method is presented for a specific two-dimensional photonic crystal waveguide-cavitysystem with a Kerr nonlinearity, using numerical methods that can take advantage of the geometric features of the structure. The method is able to calculate multiple solutions exhibiting the optical bistability phenomenon in the strongly nonlinear regime. (C) 2013 Optical Society of America
引用
收藏
页码:11952 / 11964
页数:13
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