A hybrid Jacobi–Davidson method for interior cluster eigenvalues with large null-space in three dimensional lossless Drude dispersive metallic photonic crystals

Tsung Ming Huang, Wen Wei Lin, Weichung Wang

研究成果: 雜誌貢獻文章同行評審

5 引文 斯高帕斯(Scopus)

摘要

We study how to efficiently solve the eigenvalue problems in computing band structure of three-dimensional dispersive metallic photonic crystals with face-centered cubic lattices based on the lossless Drude model. The discretized Maxwell equations result in large-scale standard eigenvalue problems whose spectrum contains many zero and cluster eigenvalues, both prevent existed eigenvalue solver from being efficient. To tackle this computational difficulties, we propose a hybrid Jacobi–Davidson method (hHybrid) that integrates harmonic Rayleigh–Ritz extraction, a new and hybrid way to compute the correction vectors, and a FFT-based preconditioner. Intensive numerical experiments show that the hHybrid outperforms existed eigenvalue solvers in terms of timing and convergence behaviors.

原文英語
頁(從 - 到)221-231
頁數11
期刊Computer Physics Communications
207
DOIs
出版狀態已發佈 - 2016 十月 1

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

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