Microwave Imaging

Contents

1 Introduction

2 Electromagnetic Scattering

2.1 Maxwell's Equations

2.2 Interface Conditions

2.3 Constitutive Equations

2.4 Wave Equations and Their Solutions

2.5 Volume Scattering by Dielectric Targets

2.6 Volume Equivalence Principle

2.7 Integral Equations

2.8 Surface Scattering by Perfectly Electric Conducting Targets

References

3 The Electromagnetic Inverse Scattering Problem

3.1 Introduction

3.2 Three-Dimensional Inverse Scattering

3.3 Two-Dimensional Inverse Scattering

3.4 Discretization of the Continuous Model

3.5 Scattering by Canonical Objects: The Case of Multilayer Elliptic Cylinders

References

4 Imaging Configurations and Model Approximations

4.1 Objectives of the Reconstruction

4.2 Multiillumination Approaches

4.3 Tomographic Configurations

4.4 Scanning Configurations

4.5 Configurations for Buried-Object Detection

4.6 Born-Type Approximations

4.7 Extended Born Approximation

4.8 Rytov Approximation

4.9 Kirchhoff Approximation

4.10 Green's Function for Inhomogeneous Structures

References

5 Qualitative Reconstruction Methods

5.1 Introduction

5.2 Generalized Solution of Linear Ill-Posed Problems

5.3 Regularization Methods

5.4 Singular Value Decomposition

5.5 Singular Value Decomposition for Solving Linear Problems

5.6 Regularized Solution of a Linear System Using Singular Value Decomposition

5.7 Qualitative Methods for Object Localization and Shaping

5.8 The Linear Sampling Method

5.9 Synthetic Focusing Techniques

5.10 Qualitative Methods for Imaging Based on ...