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

2011/09/21 by Grigorios P. Zouros, Zouros, Grigorios P., Neil V. Budko +1
Engineering · Mathematics · Physics and Astronomy · #15A23 #45E10 #47G10 #65F08 #78A45 #Classical Physics (physics.class-ph) #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1109.4598

openalex publication_date 2011/09/21 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

This is a companion report for the paper "Transverse electric scattering on\ninhomogeneous objects: Spectrum of integral operator and preconditioning" by\nthe present authors. In this report we formulate the two-dimensional transverse\nelectric scattering problem as a standard singular integral equation, derive\nthe symbol of the integral operator for H "older-continuous contrasts, and\ncalculate the elements of the system matrix obtained after discretization via\nthe mid-point rule.\n

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