학술논문

Volume Integral Formulation for the Calculation of Material Independent Modes of Dielectric Scatterers
Document Type
Periodical
Source
IEEE Transactions on Antennas and Propagation IEEE Trans. Antennas Propagat. Antennas and Propagation, IEEE Transactions on. 66(5):2505-2514 May, 2018
Subject
Fields, Waves and Electromagnetics
Aerospace
Transportation
Components, Circuits, Devices and Systems
Integral equations
Scattering
Eigenvalues and eigenfunctions
Shape
Permittivity
Dielectrics
Antennas
frequency domain analysis
integral equations
Maxwell’s equations
resonance
scattering
Language
ISSN
0018-926X
1558-2221
Abstract
Previous studies have demonstrated that the representation of the electromagnetic field scattered by a homogeneous object at a given frequency in terms of modes independent of its permittivity can be useful to investigate resonant scattering phenomena, and to design metamaterials. However, these modes have never been calculated for arbitrarily shaped particles in the full-retarded regime. In this paper, we introduce a numerical method based on volume integral equations (VIEs) for their calculation. We show, by studying the electromagnetic scattering from a finite-length cylinder of dimensions comparable to the incident wavelength, that only a moderate number of modes are needed to accurately describe the scattered far-field. Moreover, the presented modal expansion is computationally advantageous compared to the direct solution of the VIE when the scattered field has to be computed for many different values of the dielectric permittivity, given the size, and shape of the dielectric body.