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QC20.7 .S3 C37 2014
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A qualitative approach to inverse scattering theory / Fioralba Cakoni, David Colton.
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QC20.7 .S3 C37 2014
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Author/Creator:
Cakoni, Fioralba,
author.
Language:
English.
Publication date:
2014
Publication:
New York : Springer, [2014]
Format:
Book
x, 297 pages : illustrations ; 25 cm.
Note:
Previously published as: Qualitative methods in inverse scattering theory.
Bibliography:
Includes bibliographical references (pages 287294) and index.
Contents:
Functional analysis and Sobolev spaces
Normed spaces
Bounded linear operators
Adjoint operator
Sobolev space Hp (...)
Sobolev space Hp (dD)
Illposed problems
Regularization methods
Singular value decomposition
Tikhonov regularization
Scattering by imperfect conductors
Maxwell's equations
Bessel functions
Direct scattering problem
Inverse scattering problems for imperfect conductors
Farfield patterns
Uniqueness theorems for inverse problem
Linear sampling method
Determination of surface impedance
Limited aperture data
Nearfield data
Scattering by orthotropic media
Maxwell equations for an orthotropic medium
Mathematical formulation of direct scattering problem
Variational methods
Solution of direct scattering problem
Inverse scattering problems for orthotropic media
Formulation of inverse problem
Interior transmission problem
Transmission eigenvahle problern
The case n = 1
The case n ... 1
Discreteness of transmission eigenvalues
Existence of transmission eigenvalues for n ... 1
Uniqueness
Linear sampling method
Determination of transmission eigenvalues from farfield data
Factorization methods
Factorization method for obstacle scattering
Preliminary results
Properties of farfield operator
Factorization method
Factorization method for an inhomogeneous medium
Preliminary results
Properties of farfield operator
Factorization method
Justification of linear sampling method
Closing remarks
Mixed boundary value problems
Scattering by a partially coated perfect conductor
Inverse scattering problem for partially coated perfect conductor
Numerical examples
Scattering by partially coated dielectric
Inverse scattering problem for partially coated dielectric
Numerical examples
Scattering by cracks
Inverse scattering problem for cracks
Numerical examples
Inverse spectral problems for transmission eigenvalues
Entire functions
Transformation operators
Transmission eigenvalues
An inverse spectral theorem
A glimpse at maxwell's equations
References
Index.
Contributor:
Colton, David L., 1943
author.
Included Work:
Cakoni, Fioralba. Qualitative methods in inverse scattering theory, author.
Available in another form:
9781461488279 (online)
(GyWOH)har130547821
Series:
Applied mathematical sciences, 00665452 ; Volume 188
Applied mathematical sciences (SpringerVerlag New York Inc.) ;
v. 188.
Subjects:
Scattering (Mathematics)
Inverse scattering transform.
Fourier analysis.
Differential equations, Partial.
Computer engineering.
ISBN:
9781461488262
1461488265
Catkey: 10321655
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