Numerical comparison of spectral properties of volume-integral-equation formulations

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http://hdl.handle.net/10138/180563

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Markkanen , J & Ylä-Oijala , P 2016 , ' Numerical comparison of spectral properties of volume-integral-equation formulations ' , Journal of Quantitative Spectroscopy & Radiative Transfer , vol. 178 , pp. 269-275 . https://doi.org/10.1016/j.jqsrt.2016.01.020

Title: Numerical comparison of spectral properties of volume-integral-equation formulations
Author: Markkanen, Johannes; Ylä-Oijala, Pasi
Contributor: University of Helsinki, Department of Physics
Date: 2016-07
Language: eng
Number of pages: 7
Belongs to series: Journal of Quantitative Spectroscopy & Radiative Transfer
ISSN: 0022-4073
URI: http://hdl.handle.net/10138/180563
Abstract: We study and compare spectral properties of various volume-integral-equation formulations. The equations are written for the electric flux, current, field, and potentials, and discretized with basis functions spanning the appropriate function spaces. Each formulation leads to eigenvalue distributions of different kind due to the effects of discretization procedure, namely, the choice of basis and testing functions. The discrete spectrum of the potential formulation reproduces the theoretically predicted spectrum almost exactly while the spectra of other formulations deviate from the ideal one. It is shown that the potential formulation has the spectral properties desired from the preconditioning perspective. (C) 2016 Elsevier Ltd. All rights reserved.
Subject: Spectrum of integral operator
Numerical modeling
Volume-integral-equation
DISCRETE-DIPOLE APPROXIMATION
ELECTROMAGNETIC SCATTERING
OPERATOR
PARTICLES
BODY
114 Physical sciences
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