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Electromagnetic Material Interrogation Using Conductive Interfaces and...:

Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts (Frontiers in Applied Mathematics)
By H. T. Banks, M. Buksas, T. Lin

Publisher: Society for Industrial Mathematics
Number Of Pages: 146
Publication Date: 1987-01-01
ISBN-10 / ASIN: 0898714591
ISBN-13 / EAN: 9780898714593
Binding: Hardcover

Electromagnetic theory offers fascination and challenge from both a physical and a mathematical perspective. This monograph contains the newest results on the use of electromagnetic probes to interrogate dielectric material structures for material properties and geometry. The authors begin with basic electromagnetics, such as Maxwell’s equations, and present modeling, theory, and computational results. The book systematically exploits interface phenomena, the electrodynamics of material responses, and time dependent interrogating signals in an integrated manner. Strengths of this volume include a clear discussion of materials properties from the electromagnetic point of view, a careful formulation of the imaging problems addressed, rigorous treatment of mathematical issues, and useful illustration of computational methods and results. While confined to internal vision in one-dimensional settings, this volume will stimulate further developments in internal vision to include two- and three-dimensional interior assessments. An excellent and robust source of applied mathematics and engineering research challenges for the future.

Summary: studying the insides of objects
Rating: 4

The subject is a fascinating one that takes the ideas of X-rays, CAT and PET scanning one step further. The book studies how it might be possible to image the inside of some object, using any internal reflecting surfaces. Furthermore, the electromagnetic waves that are used as probes can be fairly low energy. We’re not talking about synchrotron levels of beam intensity.

The book discusses how to extract quantitative results. And how various parameters, like material depth, might be found from the scattering problem. Efficient computational techniques are also stressed.

Contents
Foreword ix
Preface xi
1 Introduction 1
2 Problem Formulation and Physical Modeling 7
2.1 Motivation 7
2.2 Estimation Methodology 15
2.3 Reduction to Specific Problems 18
2.3.1 Acoustic Reflectors 23
3 Well-Posedness 27
3.1 A Variational Formulation 27
3.2 A Semigroup Formulation 35
3.3 Enhanced Regularity of Solutions 42
3.4 Convergence of Finite Element Approximations 47
3.5 Inverse Problem Methodology 48
4 Computational Methods for Dielectrics with Supraconductive
Backing 57
4.1 The Forward Problem for the Debye Polarization Model 57
4.2 The Inverse Problem for a Debye Medium 63
4.2.1 Sample Results 65
4.2.2 Reconstruction with Inferior Accuracy 71
4.2.3 Identification of Material Depth 72
4.2.4 Results from the Two-Step Algorithm 74
4.2.5 Estimating Depth and Physical Parameters 76
4.2.6 Results for the Simultaneous Estimation of Depth and
Dielectric Parameters 77
4.3 The Forward Problem for the Lorentz Model 79
4.4 The Inverse Problem for a Lorentz Medium 85
vii
viii Contents
5 Computational Methods for General Polarization Models 89
5.1 The Forward Problem 89
5.1.1 Galerkin Methods for the History Approximation 91
5.1.2 Approximating the History ofe( t ) 92
5.1.3 Implementing the Hysteresis Term 95
5.1.4 Specific Implementation: Constant Material
Parameters 96
5.2 Results of Simulations with the General Model 97
5.2.1 Dielectric Response Function Representation
of the Debye Model 97
5.2.2 DRF Representation of the Lorentz Model 99
5.3 The Inverse Problem with the General Polarization Model . . . . 101
5.3.1 Practical Conclusions 105
6 Computational Methods for Acoustically Backed Dielectrics 107
6.1 The Forward Problem with an Acoustically
Backed Layer 107
6.1.1 Numerical Methods 108
6.1.2 Simulation Results 109
6.2 Identification of Material Depth 119
7 Concluding Summary and Remarks on Potential
Applications 129
7.1 Summary of Mathematical and
Computational Results 129
7.2 Limitations and Unanswered Questions 131
7.3 Future Technological Possibilities 133
Bibliography 137
Index 145

[ 本帖最后由 drjiachen 于 2008-12-23 23:23 编辑 ]

It is a new book

看不到啊......................................................

Electromagnetic Material Interrogation Using Conductive Interfaces.part1