Analytical-numerical study of electromagnetic interaction in two-dimensional bianisotropic arrays

Pavel A. Belov; Constantin R. Simovski; Mikhail S. Kondratiev

doi:10.1117/12.316345

24 July 1998 Analytical-numerical study of electromagnetic interaction in two-dimensional bianisotropic arrays

Pavel A. Belov, Constantin R. Simovski, Mikhail S. Kondratiev

Proceedings Volume 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures; (1998) https://doi.org/10.1117/12.316345
Event: 5th Annual International Symposium on Smart Structures and Materials, 1998, San Diego, CA, United States

Abstract

A problem of electromagnetic interaction for 2D regular arrays of bianisotropic particles with rectangular cells is considered. They are excited by an incident plane electromagnetic wave. The local field in the point of location of an arbitrary chosen particle which can be named as reference-particle is formed by the incident wave and by field of all the particles besides reference-particle. Using dipole model we can express the local fields through only two vector complex values--electric and magnetic dipole moments of reference-particle. The relations between fields of other particles in the point of reference- particle location and dipole moments of the reference-particle are presented by several dyadics which are named as key dyadics. These dyadics play a very important role in solving of the problem of 2D and 3D regular grids excitation by an incident plane electromagnetic wave, because the equations relating electric and magnetic dipole moments of reference-particle with an incident wave field are presented through these dyadics and the polarizability ones. In this paper all components of key dyadics are exactly analytically calculated and their expressions are given in convenient for numerical calculations form.

Citation Download Citation

Pavel A. Belov, Constantin R. Simovski, and Mikhail S. Kondratiev "Analytical-numerical study of electromagnetic interaction in two-dimensional bianisotropic arrays", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); https://doi.org/10.1117/12.316345

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