Book Volume 2098 2013

Mathematical and Statistical Methods for Multistatic Imaging

ISBN: 978-3-319-02584-1 (Print) 978-3-319-02585-8 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvii

  2. Mathematical and Probabilistic Tools

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-50

      Preliminaries

    3. No Access

      Chapter

      Pages 51-94

      Layer Potential Techniques

  3. Small Volume Expansions and Concept of Generalized Polarization Tensors

    1. Front Matter

      Pages 95-95

    2. No Access

      Chapter

      Pages 97-113

      Small Volume Expansions

    3. No Access

      Chapter

      Pages 115-131

      Generalized Polarization Tensors

    4. No Access

      Chapter

      Pages 133-142

      Frequency Dependent Generalized Polarization Tensors

  4. Multistatic Configuration

    1. Front Matter

      Pages 143-143

    2. No Access

      Chapter

      Pages 145-161

      Multistatic Response Matrix: Statistical Structure

    3. No Access

      Chapter

      Pages 163-169

      MSR Matrices Using Multipolar Expansions

  5. Localization and Detection Algorithms

    1. Front Matter

      Pages 171-171

    2. No Access

      Chapter

      Pages 173-188

      Direct Imaging Functionals for Inclusions in the Continuum Approximation

    3. No Access

      Chapter

      Pages 189-202

      Detection and Imaging from MSR Measurements

  6. Dictionary Matching and Tracking Algorithms

    1. Front Matter

      Pages 203-203

    2. No Access

      Chapter

      Pages 205-210

      Reconstruction of GPTs from MSR Measurements

    3. No Access

      Chapter

      Pages 211-226

      Target Identification and Tracking

  7. Imaging of Extended Targets

    1. Front Matter

      Pages 227-227

    2. No Access

      Chapter

      Pages 229-238

      Time-Reversal and Diffraction Tomography for Inverse Source Problems

    3. No Access

      Chapter

      Pages 239-252

      Imaging Small Shape Deformations of an Extended Target from MSR Measurements

    4. No Access

      Chapter

      Pages 253-266

      Nonlinear Optimization Algorithms

  8. Invisibility

    1. Front Matter

      Pages 267-267

    2. No Access

      Chapter

      Pages 269-286

      GPT- and S-Vanishing Structures for Near-Cloaking

    3. No Access

      Chapter

      Pages 287-299

      Anomalous Resonance Cloaking

  9. Numerical Implementations and Results

    1. Front Matter

      Pages 301-301

    2. No Access

      Chapter

      Pages 303-330

      Numerical Implementations

    3. No Access

      Chapter

      Pages 331-349

      Numerical Results

  10. Back Matter

    Pages 351-382