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Photonic crystals: Green’s functions, integro-differential equations, and simulation results

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Abstract

We obtain representations of scalar and dyadic Green’s functions for one-, two-, and three-dimensional periodic photonic crystals. On this basis, volumetric, surface, and mixed surface-volumetric integral and integro-differential equations are deduced. Numerical results of solution of the obtained equations for some types of structures are presented.

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Authors and Affiliations

  1. State University of Saratov, Saratov, Russia

    M. V. Davidovich

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  1. M. V. Davidovich
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 49, No. 2, pp. 150–163, February 2006.

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Davidovich, M.V. Photonic crystals: Green’s functions, integro-differential equations, and simulation results. Radiophys Quantum Electron 49, 134–146 (2006). https://doi.org/10.1007/s11141-006-0045-x

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  • DOI: https://doi.org/10.1007/s11141-006-0045-x

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