Oblique propagation of electromagnetic waves in regular 3D lattices of scatterers (dipole approximation)

Pavel A. Belov; Constantin R. Simovski

doi:10.1117/12.396407

24 August 2000 Oblique propagation of electromagnetic waves in regular 3D lattices of scatterers (dipole approximation)

Pavel A. Belov, Constantin R. Simovski

Proceedings Volume 4073, Fifth European Conference on Smart Structures and Materials; (2000) https://doi.org/10.1117/12.396407
Event: Symposium on Applied Photonics, 2000, Glasgow, United Kingdom

Abstract

In this presentation we consider artificial (photonic) crystals formed by dielectric or metallic inclusions arranged in the nodes of a regular three-dimensional lattice with parallelepipedal elementary cell of the general kind. The background medium is an isotropic dielectric. Oblique propagation of plane electromagnetic waves in such a structure is under consideration. A simple analytical theory of plane-wave propagation which takes into account full-wave electromagnetic interactions of all inclusions is developed. The dipole model of interactions and the local- field approach are used. However, our interaction model takes into account the phase shift of the wave not only over a cell but also over the scatterer volume (using high-frequency polarizability). The layer- layer interactions are considered using the Floquet representation of the field produced by periodically polarized layers, including evanescent modes in the model of interactions of adjacent layers. The dispersion equation is obtained form the condition of polarization periodicity, which results from the geometry of the problem and solved numerically. As a simple illustrative example, numerical simulations for lattices of lossless dielectric spheres have been made. The present theory gives an analytical model for the effective propagation constant, which can be universally applied in a very wide frequency rage from the quasi-static regime to the Bragg reflection region (photonic band-gap).

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Pavel A. Belov and Constantin R. Simovski "Oblique propagation of electromagnetic waves in regular 3D lattices of scatterers (dipole approximation)", Proc. SPIE 4073, Fifth European Conference on Smart Structures and Materials, (24 August 2000); https://doi.org/10.1117/12.396407

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