An efficient contour integral based eigensolver for 3D dispersive photonic crystal

Tsung Ming Huang, Weichien Liao, Wen Wei Lin, Weichung Wang*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

Numerical simulations play a significant role in studying the properties of dispersive metallic photonic crystals. The dispersive photonic crystals are modeled by the Maxwell equations, and the equations are then discretized by the widely-used Yee's scheme. After applying certain similarity transformations to the discretized system, the original simulation problem becomes a non-Hermitian eigenvalue problem with clustered eigenvalues. An efficient contour integral (CI) based eigensolver is developed to overcome the difficulties of applying existing methods to solve eigenvalues in designated regions. This efficient method combines the contour integral, the fast matrix–vector multiplication, and efficient linear system solver. The numerical results illustrate the efficiency of our algorithm.

原文英語
文章編號113581
期刊Journal of Computational and Applied Mathematics
395
DOIs
出版狀態已發佈 - 2021 十月 15

ASJC Scopus subject areas

  • 計算數學
  • 應用數學

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