Transverse electric scattering on inhomogeneous objects: Singular integral equation, symbol of the operator, and matrix elements
Numerical Analysis
2011-09-22 v1 Classical Physics
Abstract
This is a companion report for the paper "Transverse electric scattering on inhomogeneous objects: Spectrum of integral operator and preconditioning" by the present authors. In this report we formulate the two-dimensional transverse electric scattering problem as a standard singular integral equation, derive the symbol of the integral operator for H\"older-continuous contrasts, and calculate the elements of the system matrix obtained after discretization via the mid-point rule.
Keywords
Cite
@article{arxiv.1109.4598,
title = {Transverse electric scattering on inhomogeneous objects: Singular integral equation, symbol of the operator, and matrix elements},
author = {Grigorios P. Zouros and Neil V. Budko},
journal= {arXiv preprint arXiv:1109.4598},
year = {2011}
}
Comments
12 pages