Analytical model of electromagnetic wave reflection from layer or half-space of photonic crystal

Pavel A. Belov

doi:10.1117/12.427079

8 May 2001 Analytical model of electromagnetic wave reflection from layer or half-space of photonic crystal

Pavel A. Belov

Proceedings Volume 4416, Optical Engineering for Sensing and Nanotechnology (ICOSN 2001); (2001) https://doi.org/10.1117/12.427079
Event: Optical Engineering for Sensing and Nanotechnology (ICOSN '01), 2001, Yokohama, Japan

Abstract

Analytical theory of plane electromagnetic wave reflection from a layer or half-space of a particulate photonic crystal is introduced. The photonic (artificial) crystal is formed by small complex-shaped dielectric or metallic inclusions arranged in the nodes of a regular three-dimensional lattice with parallelepipedal elementary cell of general kind. The background medium is assumed to be an isotropic dielectric. The dipole model and the local field approach are used for description of electromagnetic interaction between inclusions. Frequency dependent polarizabilities are used for description of inclusions polarization. The interaction between adjacent layers is considered using the Floquet representation including evanescent modes. Using an analytical theory of dispersion for the crystals under consideration it becomes possible to make predictions for dipole moments distribution deep inside the layer. Additional corrections for distribution in the surface layers and amplitudes of predicted modes have been found numerically from a linear system of equation. This method needs much less computational time comparing with the same method without prediction of distribution and can be applied for calculation of reflection coefficient for much thicker layers or for a half space.

Citation Download Citation

Pavel A. Belov "Analytical model of electromagnetic wave reflection from layer or half-space of photonic crystal", Proc. SPIE 4416, Optical Engineering for Sensing and Nanotechnology (ICOSN 2001), (8 May 2001); https://doi.org/10.1117/12.427079

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