Permittivity recovery from multiple characteristic electric waves

Clifford J. Nolan

doi:10.1137/S0036139901384030

Permittivity recovery from multiple characteristic electric waves

Clifford J. Nolan

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We use the calculus of Fourier integral operators with singular symbols to reconstruct electrical permittivity singularities from remote measurements of scattered electric waves. The reconstruction is microlocal and is uniformly valid in the neighborhood of conically refracted waves.

Original language	English
Pages (from-to)	448-461
Number of pages	14
Journal	SIAM Journal on Applied Mathematics
Volume	62
Issue number	2
DOIs	https://doi.org/10.1137/S0036139901384030
Publication status	Published - 2001

Keywords

Fourier integral operator
Microlocal analysis
Parametrix
Permittivity
Scattering
Singular symbols

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10.1137/S0036139901384030

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title = "Permittivity recovery from multiple characteristic electric waves",

abstract = "We use the calculus of Fourier integral operators with singular symbols to reconstruct electrical permittivity singularities from remote measurements of scattered electric waves. The reconstruction is microlocal and is uniformly valid in the neighborhood of conically refracted waves.",

keywords = "Fourier integral operator, Microlocal analysis, Parametrix, Permittivity, Scattering, Singular symbols",

author = "Nolan, {Clifford J.}",

year = "2001",

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language = "English",

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pages = "448--461",

journal = "SIAM Journal on Applied Mathematics",

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AU - Nolan, Clifford J.

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KW - Fourier integral operator

KW - Microlocal analysis

KW - Parametrix

KW - Permittivity

KW - Scattering

KW - Singular symbols

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DO - 10.1137/S0036139901384030

M3 - Article

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VL - 62

SP - 448

EP - 461

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 2

ER -

Permittivity recovery from multiple characteristic electric waves

Abstract

Keywords

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