Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
Soc. for Industrial and Applied Mathematics
2000
|
| Series: | Frontiers in applied mathematics
21 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 146 S. graph. Darst. |
| ISBN: | 0898714591 |
Staff View
MARC
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| 245 | 1 | 0 | |a Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts |c H. T. Banks ; M. W. Buksas ; T. Lin |
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| 490 | 1 | |a Frontiers in applied mathematics |v 21 | |
| 650 | 4 | |a Acoustic emission testing | |
| 650 | 4 | |a Electromagnetic waves |x Scattering | |
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Record in the Search Index
| _version_ | 1804128699095711744 |
|---|---|
| adam_text | 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 of e(i) 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
|
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| dewey-search | 620.1/127 |
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| discipline | Physik |
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| indexdate | 2024-07-09T18:53:23Z |
| institution | BVB |
| isbn | 0898714591 |
| language | English |
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| physical | XIII, 146 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| series | Frontiers in applied mathematics |
| series2 | Frontiers in applied mathematics |
| spelling | Banks, H. T. Verfasser aut Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts H. T. Banks ; M. W. Buksas ; T. Lin Philadelphia Soc. for Industrial and Applied Mathematics 2000 XIII, 146 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frontiers in applied mathematics 21 Acoustic emission testing Electromagnetic waves Scattering Surfaces (Physics) Elektromagnetische Streuung (DE-588)4194512-8 gnd rswk-swf Elektromagnetische Streuung (DE-588)4194512-8 s 1\p DE-604 Buksas, Michael W. Verfasser aut Lin, Tao Verfasser aut Frontiers in applied mathematics 21 (DE-604)BV001873790 21 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009483369&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Banks, H. T. Buksas, Michael W. Lin, Tao Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts Frontiers in applied mathematics Acoustic emission testing Electromagnetic waves Scattering Surfaces (Physics) Elektromagnetische Streuung (DE-588)4194512-8 gnd |
| subject_GND | (DE-588)4194512-8 |
| title | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts |
| title_auth | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts |
| title_exact_search | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts |
| title_full | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts H. T. Banks ; M. W. Buksas ; T. Lin |
| title_fullStr | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts H. T. Banks ; M. W. Buksas ; T. Lin |
| title_full_unstemmed | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts H. T. Banks ; M. W. Buksas ; T. Lin |
| title_short | Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts |
| title_sort | electromagnetic material interrogation using conductive interfaces and acoustic wavefronts |
| topic | Acoustic emission testing Electromagnetic waves Scattering Surfaces (Physics) Elektromagnetische Streuung (DE-588)4194512-8 gnd |
| topic_facet | Acoustic emission testing Electromagnetic waves Scattering Surfaces (Physics) Elektromagnetische Streuung |
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