Transverse electric scattering on inhomogeneous objects: Singular integral equation, symbol of the operator, and matrix elements

Details Transverse electric scattering on inhomogeneous objects: Singular integral equation, symbol of the operator, and matrix elements Transverse electric scattering on inhomogeneous objects: Singular integral equation, symbol of the operator, and matrix elements

2011-09-21

arxiv.org/abs/1109.4598v1

Mathematics

Numerical Analysis

12 pages

Scientific paper

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.

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