Ebook: Computational Electromagnetics and Model-Based Inversion: A Modern Paradigm for Eddy-Current Nondestructive Evaluation
- Tags: Characterization and Evaluation of Materials, Quality Control Reliability Safety and Risk, Measurement Science and Instrumentation, Numerical and Computational Physics
- Series: Scientific Computation
- Year: 2013
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
This volume will define the direction of eddy-current technology in nondestructive evaluation (NDE) in the twenty-first century. It describes the natural marriage of the computer to eddy-current NDE, and its publication was encouraged by favorable responses from workers in the nuclear-power and aerospace industries. It will be used by advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging, among others, and will be based on our experience in applying the subject of computational electromagnetics to these areas, as manifested by our recent research and publications. Finally, it will be a reference to future monographs on advanced NDE that are being contemplated by our colleagues and others. Its importance lies in the fact that it will be the first book to show that advanced computational methods can be used to solve practical, but difficult, problems in eddy-current NDE. In fact, in many cases these methods are the only things available for solving the problems.
The book will cover the topic of computational electromagnetics in eddy-current nondestructive evaluation (NDE) by emphasizing three distinct topics: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used. This will make the book more than an academic exercise; we expect it to be valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging. We know of no other book on the market that covers this material in the manner in which we will present it, nor are there any books, to our knowledge, that apply this material to actual test situations that are of importance to the industries cited. It will be the first book to actually define the modern technology of eddy-current NDE, by showing how mathematics and the computer will solve problems more effectively than current analog practice.
Computational Electromagnetics and Model-Based Inversion: A Modern Paradigm for Eddy Current Nondestructive Evaluation describes the natural marriage of the computer to eddy-current NDE. Three distinct topics are emphasized in the book: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used.
By showing how mathematics and the computer can solve problems more effectively than current analog practices, this book defines the modern technology of eddy-current NDE. This book will be useful to advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging. Users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging will find this book to be a valuable resource as well.
Computational Electromagnetics and Model-Based Inversion: A Modern Paradigm for Eddy Current Nondestructive Evaluation describes the natural marriage of the computer to eddy-current NDE. Three distinct topics are emphasized in the book: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used.
By showing how mathematics and the computer can solve problems more effectively than current analog practices, this book defines the modern technology of eddy-current NDE. This book will be useful to advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging. Users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging will find this book to be a valuable resource as well.
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Overview of Methods of Computational Electromagnetics....Pages 3-5
Green’s Dyad for Plane-Layered Media....Pages 7-33
The Volume-Integral Equations for Plane-Layered Media....Pages 35-43
Discretization via the Galerkin Method of Moments....Pages 45-55
Computing Network Immittance Functions from Field Calculations....Pages 57-70
Advanced Probe Models Based on Magnetic Dipoles and Ferrite Cores....Pages 71-91
Advanced Probe Models Based on Electric Dipoles....Pages 93-127
Planar and Conforming Arrays of Probes....Pages 129-143
Multilayered Media with Cylindrical Geometries....Pages 145-175
Some Special Topics in Computational Electromagnetics....Pages 177-224
Front Matter....Pages 225-225
Examples of Basic Inverse Problems....Pages 227-256
NLSE: Parameter-Based Inversion Algorithm....Pages 257-271
Robust Statistical Estimators....Pages 273-280
Some Special Signal-Processing Algorithms....Pages 281-288
Preprocessing Data and Transformation of Signal Vectors....Pages 289-305
Front Matter....Pages 307-307
Modeling Corrosion and Pitting Problems....Pages 309-336
Applications to Aerospace Structures....Pages 337-351
Applications to Nuclear Power....Pages 353-382
Coupled Problems in Heat-Exchanger Tubes....Pages 383-410
Applications to NDE of Coatings....Pages 411-419
Back Matter....Pages 435-448
Model-Assisted Probability of Detection....Pages 421-434
Computational Electromagnetics and Model-Based Inversion: A Modern Paradigm for Eddy Current Nondestructive Evaluation describes the natural marriage of the computer to eddy-current NDE. Three distinct topics are emphasized in the book: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used.
By showing how mathematics and the computer can solve problems more effectively than current analog practices, this book defines the modern technology of eddy-current NDE. This book will be useful to advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging. Users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging will find this book to be a valuable resource as well.
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Overview of Methods of Computational Electromagnetics....Pages 3-5
Green’s Dyad for Plane-Layered Media....Pages 7-33
The Volume-Integral Equations for Plane-Layered Media....Pages 35-43
Discretization via the Galerkin Method of Moments....Pages 45-55
Computing Network Immittance Functions from Field Calculations....Pages 57-70
Advanced Probe Models Based on Magnetic Dipoles and Ferrite Cores....Pages 71-91
Advanced Probe Models Based on Electric Dipoles....Pages 93-127
Planar and Conforming Arrays of Probes....Pages 129-143
Multilayered Media with Cylindrical Geometries....Pages 145-175
Some Special Topics in Computational Electromagnetics....Pages 177-224
Front Matter....Pages 225-225
Examples of Basic Inverse Problems....Pages 227-256
NLSE: Parameter-Based Inversion Algorithm....Pages 257-271
Robust Statistical Estimators....Pages 273-280
Some Special Signal-Processing Algorithms....Pages 281-288
Preprocessing Data and Transformation of Signal Vectors....Pages 289-305
Front Matter....Pages 307-307
Modeling Corrosion and Pitting Problems....Pages 309-336
Applications to Aerospace Structures....Pages 337-351
Applications to Nuclear Power....Pages 353-382
Coupled Problems in Heat-Exchanger Tubes....Pages 383-410
Applications to NDE of Coatings....Pages 411-419
Back Matter....Pages 435-448
Model-Assisted Probability of Detection....Pages 421-434
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