Analysis of Dielectric Photonic-Crystal Problems With MLFMA and Schur-Complement Preconditioners

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2011-3

Author

Ergül, Özgür Salih
Gurel, Levent

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We present rigorous solutions of electromagnetics problems involving 3-D dielectric photonic crystals (PhCs). Problems are formulated with recently developed surface integral equations and solved iteratively using the multilevel fast multipole algorithm (MLFMA). For efficient solutions, iterations are accelerated via robust Schur-complement preconditioners. We show that complicated PhC structures can be analyzed with unprecedented efficiency and accuracy by an effective solver based on the combined tangential formulation, MLFMA, and Schur-complement preconditioners.

Subject Keywords

Multilevel fast multipole algorithm (MLFMA), Photonic crystals (PhCs), Schur-complement preconditioners, Surface integral equations (SIEs)

URI

https://hdl.handle.net/11511/28306

Journal

Journal of Lightwave Technology

DOI

https://doi.org/10.1109/jlt.2011.2106196

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

Ö. S. Ergül and L. Gurel, “Analysis of Dielectric Photonic-Crystal Problems With MLFMA and Schur-Complement Preconditioners,” Journal of Lightwave Technology, pp. 888–897, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28306.