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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2017-03-02
Doubly-Periodic Photonic Crystals: Spectral Problems Analysis
By
Seil S. Sautbekov,

    Prof. Seil S. Sautbekov

    Al-Farabi Kazakh National University

    Kazakhstan

    Homepage

Yuriy Sirenko,

    Prof. Yuriy Sirenko

    L. N. Gumilyov Eurasian National University

    Republic of Kazakhstan

    Homepage

Hanna Sliusarenko

    Dr. Hanna Sliusarenko

    O. Ya. Usikov Institute for Radiophysics and Electronics of National Academy of Sciences of Ukraine

    Ukraine

    Homepage

Progress In Electromagnetics Research Letters, Vol. 66, 71-77, 2017
doi:10.2528/PIERL16122303 | Google Scholar

Abstract
The present work is devoted to the clarification of the conditions necessary for step-by-step justification of the possibility of reduction of the homogeneous system of linear algebraic equations for the spectral problems of 2-D photonic crystals by the plane waves method. The issues related to the algorithms and the numerical solutions of these spectral problems are analyzed. The possibility of analytical regularization is investigated, and the ways to improve the convergence of the obtained results are identified.
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Citation
Seil S. Sautbekov, Yuriy Sirenko, and Hanna Sliusarenko, "Doubly-Periodic Photonic Crystals: Spectral Problems Analysis," Progress In Electromagnetics Research Letters, Vol. 66, 71-77, 2017.
doi:10.2528/PIERL16122303
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