Computational Methods for Electromagnetic Inverse Scattering [Hardcover]

A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems

• Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications
• Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods
• Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems
• Written by a leading expert in the field

1 Introduction 1

1.1 Introduction to electromagnetic inverse scattering problems 1

1.2 Forward scattering problems 2

1.3 Properties of inverse scattering problems 3

1.4 Scope of the book 6

2 Fundamentals of electromagnetic wave theory 13

2.1 Maxwell?s equations 13

2.1.1 Representations in differential form 13

2.1.2 Time harmonic forms 14

2.1.3 Boundary conditions 15

2.1.4 Constitutive relations 16

2.2 General description of a scattering problem 16

2.3 Duality principle 18

2.4 Radiation in free space 18

2.5 Volume integral equations for dielectric scatterers 20

2.6 Surface integral equations for perfectly conducting scatterers 21

2.7 Two-dimensional scattering problems 22

2.8 Scattering by small scatterers 24

2.8.1 Three-dimensional case 24

2.8.2 Two-dimensional case 27

2.8.3 Scattering by a collectiol“+