Ebook: Qualitative Methods in Inverse Scattering Theory: An Introduction
- Tags: Appl.Mathematics/Computational Methods of Engineering, Applications of Mathematics, Continuum Mechanics and Mechanics of Materials, Classical Electrodynamics Wave Phenomena, Electronic and Computer Engineering
- Series: Interaction of Mechanics and Mathematics
- Year: 2006
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.
Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.
Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.
Content:
Front Matter....Pages I-VIII
Functional Analysis and Sobolev Spaces....Pages 1-25
Ill-Posed Problems....Pages 27-43
Scattering by an Imperfect Conductor....Pages 45-60
The Inverse Scattering Problem for an Imperfect Conductor....Pages 61-80
Scattering by an Orthotropic Medium....Pages 81-104
The Inverse Scattering Problem for an Orthotropic Medium....Pages 105-129
The Factorization Method....Pages 131-152
Mixed Boundary Value Problems....Pages 153-212
A Glimpse at Maxwell’s Equations....Pages 213-218
Back Matter....Pages 219-227
Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.
Content:
Front Matter....Pages I-VIII
Functional Analysis and Sobolev Spaces....Pages 1-25
Ill-Posed Problems....Pages 27-43
Scattering by an Imperfect Conductor....Pages 45-60
The Inverse Scattering Problem for an Imperfect Conductor....Pages 61-80
Scattering by an Orthotropic Medium....Pages 81-104
The Inverse Scattering Problem for an Orthotropic Medium....Pages 105-129
The Factorization Method....Pages 131-152
Mixed Boundary Value Problems....Pages 153-212
A Glimpse at Maxwell’s Equations....Pages 213-218
Back Matter....Pages 219-227
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