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Record Nr. |
UNINA9910830875103321 |
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Autore |
Berg P. M. van den |
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Titolo |
Forward and inverse scattering algorithms based on contrast source integral equations / / Peter M. van den Berg |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , [2021] |
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©2021 |
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ISBN |
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1-119-74157-2 |
1-119-74156-4 |
1-119-74160-2 |
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Descrizione fisica |
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1 online resource (547 pages) |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Cover -- Title Page -- Copyright -- Contents -- Preface -- Introduction -- About the Companion Website -- Part I Forward Scattering Problem -- Chapter 1 Scalar Waves -- 1.1 Three‐Dimensional Scattering by a Bounded Contrast -- 1.1.1 Radiation in an Unbounded Homogeneous Embedding -- 1.1.2 Scattering by a Bounded Contrast -- 1.1.3 Domain‐Integral Equation in the s‐Domain -- 1.1.4 The Born Approximation in the s‐Domain -- 1.1.5 Contrast‐Source Integral Equation -- 1.2 Two‐Dimensional and One‐Dimensional Scattering -- 1.3 Numerical Solution of the Integral Equations (1D, 2D, 3D) -- 1.4 Matlab Input and Output Functions -- 1.5 Matlab Code for Field Integral Equations (1D, 2D, 3D) -- 1.6 Matlab Code for Contrast‐Source Integral Equation -- 1.6.1 Performance Analysis -- 1.6.2 Matlab Built‐in Functions for Iterative Solution of the Contrast‐Source Integral Equation -- 1.7 Time‐Domain Solution of Contrast‐Source Integral Equation -- 1.A Representation for Homogeneous Green Functions -- 1.A.1 1D Green Function -- 1.A.2 2D Green Function -- 1.A.2.1 Cylindrical Polar Coordinates -- 1.A.3 3D Green Function -- 1.A.3.1 Spherical Polar Coordinates -- 1.B Scattering by a Simple Canonical Configuration -- 1.B.1 1D Scattering by a Slab -- 1.B.2 2D Scattering by a Circular Cylinder -- 1.B.3 3D Scattering by a Sphere -- 1.C Matlab Codes for Scattering by Canonical Objects -- 1.C.1 Matlab Code for |
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Slab (1D) -- 1.C.2 Matlab Code for Circular Cylinder (2D) -- 1.C.3 Matlab Code for Sphere (3D) -- 1.C.4 Scattered‐Field Computations Canonical Objects -- Chapter 2 Acoustic Waves -- 2.1 Three‐Dimensional Scattering by a Bounded Contrast -- 2.1.1 Radiation in an Unbounded Homogeneous Embedding -- 2.1.2 Scattering by a Bounded Contrast -- 2.1.3 Contrast Source Domain Integral Equation -- 2.1.4 Numerical Solution and Operators Involved (1D, 2D, 3D). |
2.1.4.1 Analytic Differentiation -- 2.1.4.2 Numerical Differentiation -- 2.1.4.3 Conjugate Gradient Method -- 2.1.4.4 Incident Acoustic Wave Field -- 2.1.4.5 Scattered Acoustic Wave Field -- 2.1.4.6 Weak Form of the Spatial Derivative of the Green Function -- 2.2 Matlab Codes Integral Equations: Pressure and Particle Velocity -- 2.3 Single Integral Equation in Terms of Contrast in Wave Speed and Gradient of Mass Density -- 2.3.1 Contrast Source Formulation -- 2.3.2 Conjugate Gradient Iterative Solution and Operators Involved -- 2.3.2.1 Analytic Differentiation -- 2.3.2.2 Numerical Differentiation -- 2.3.2.3 Scattered Acoustic Wave Field -- 2.4 Matlab Codes Integral Equations: Wave Speed and Gradient of Mass Density -- 2.4.1 Performance Analysis -- 2.5 Solution of Integral Equation: Interface Contrast Sources -- 2.5.1 Contrast‐Source Integral Equation -- 2.5.2 Numerical Solution of Interface Integral Equations (2D) -- 2.6 Numerical Solution Integral Equations: Volume and Interface Contrast Sources -- 2.6.1 Discrete Representations in 3D -- 2.6.2 Discrete Representations in 2D -- 2.6.3 Discrete Representations in 1D -- 2.6.4 Conjugate Gradient Iterative Solution and Operators Involved -- 2.6.4.1 Scattered Acoustic Wave Field -- 2.7 Matlab Codes Integral Equations: Volume and Interface Contrast Sources -- 2.7.1 Performance Analysis -- 2.7.2 Matlab BiCGSTAB Built‐in Functions for Iterative Solution of the Contrast Source Integral Equation -- 2.8 Time‐Domain Solution of Contrast Source Integral Equation -- 2.A Scattering by a Simple Canonical Configuration -- 2.A.1 1D Scattering by a Slab -- 2.A.2 2D Scattering by a Circular Cylinder -- 2.A.2.1 No Contrast in Wave Speed -- 2.A.3 3D Scattering by a Sphere -- 2.A.4 Scattered‐Field Computations Canonical Objects -- Chapter 3 Electromagnetic Waves -- 3.1 Three‐Dimensional Scattering by a Bounded Contrast. |
3.1.1 Radiation in an Unbounded Homogeneous Embedding -- 3.1.2 3D Incident Electromagnetic Field -- 3.1.3 2D Incident Electromagnetic Field -- 3.1.4 Scattering by a Bounded Contrast -- 3.2 Contrast Source (E‐field) Integral Equations: Permittivity Contrast Only -- 3.2.1 2D Contrast Source (E‐field) Integral Equations: Permittivity Contrast Only -- 3.2.2 Conjugate Gradient Iterative Solution and Operators Involved -- 3.2.2.1 Conjugate Gradient Method -- 3.2.2.2 Scattered Electromagnetic Wave Field -- 3.2.3 Matlab Codes E‐field Integral Equations: Permittivity Contrast Only -- 3.2.3.1 Matlab BiCGSTAB Built‐in Function -- 3.3 E‐field Equation for Volume and Interface Contrast Sources: Permittivity Contrast Only -- 3.3.1 Numerical Solution with Volume and Interface Contrast Currents: Permittivity Contrast Only -- 3.3.1.1 Discrete Representations in 3D -- 3.3.1.2 Discrete Representations in 2D -- 3.3.2 Iterative Solution and Operators Involved -- 3.3.3 Matlab Codes E‐field Integral Equations: Volume and Interface Contrast Sources -- 3.3.4 Performance Analysis -- 3.4 Contrast Source Integral Equations for Both Permittivity and Permeability Contrast -- 3.4.1 Numerical Solution and Operators Involved -- 3.4.1.1 Scattered Electromagnetic Wave Field -- 3.4.2 Matlab Codes Integral Equations for Both Permittivity and Permeability Contrast: Special Case of Zero Wave‐Speed Contrast -- 3.5 E‐field Integral Equation for Zero Wave‐Speed Contrast -- 3.5.1 Numerical Solution for Interface Contrast Source Integral Equation: Zero Wave‐ |
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Speed Contrast -- 3.5.1.1 Discrete Representations in 3D -- 3.5.2 Matlab Codes Integral Equations for Zero Wave‐Speed Contrast -- 3.6 Time‐Domain Solution of Contrast Source Integral Equation -- 3.A Scattering by a Simple Canonical Configuration -- 3.A.1 2D Scattering by a Circular Cylinder. |
3.A.1.1 TM Green Function of the Circular Cylinder -- 3.A.1.2 Electromagnetic Field Strengths -- 3.A.1.3 Matlab Codes for Circular Cylinder (2D) -- 3.A.2 3D Scattering by a Sphere -- 3.A.2.1 TM Green Function of the Sphere -- 3.A.2.2 Electromagnetic Field Strengths -- 3.A.2.3 Matlab Codes for Sphere (3D) -- 3.A.3 Scattered‐Field Computations Canonical Objects -- Part II Inverse Scattering Problem -- Chapter 4 Scalar Wave Inversion -- 4.1 Notation -- 4.2 Synthetic Data -- 4.3 Nonlinear Inverse Scattering Problem -- 4.4 Inverse Contrast Source Problem -- 4.5 Contrast Source Inversion -- 4.5.1 Discretization of Green's Operators and Norms -- 4.5.2 Updating the Contrast Sources -- 4.5.2.1 Gradient Directions -- 4.5.2.2 Calculation of the Step Length -- 4.5.3 Updating the Contrast -- 4.5.4 Initial Estimate -- 4.5.5 Matlab Codes for the CSI Method -- 4.6 Multiplicative Regularized Contrast Source Inversion -- 4.6.1 Regularization Function for the Contrast Update -- 4.6.2 Updating the Contrast with Multiplicative Regularization -- 4.6.3 Numerical Implementation of the Regularization -- 4.6.4 Numerical Solution of Regularization Equation -- 4.6.5 Matlab Codes for the MRCSI Method -- 4.7 CSI Method for Reconstruction of a Few Parameters -- 4.7.1 Gauss-Newton Method for the Contrast Update -- 4.7.2 Matlab Codes for the Gauss-Newton Type Contrast Updating -- 4.8 CSI Methods for Phaseless Data -- 4.8.1 CSI Method for Measured Intensity Data -- 4.8.2 CSI Method for Measured Amplitude Data -- 4.9 Gauss-Newton Inversion -- 4.9.1 Matlab Codes for Gauss-Newton Inversion -- Chapter 5 Acoustic Wave Inversion -- 5.1 Notation -- 5.1.1 Compressibility Contrast Only -- 5.1.2 Mass‐density Contrast Only -- 5.2 Synthetic Data for Zero Compressibility Contrast -- 5.3 Mass‐density Contrast Source Inversion -- 5.3.1 Updating the Contrast Sources -- 5.3.1.1 Gradient Directions. |
5.3.1.2 Calculation of the Step Length -- 5.3.2 Updating the Contrast -- 5.3.3 Initial Estimate -- 5.3.4 Updating the Contrast with Multiplicative TV Regularization -- 5.3.5 Matlab Codes for the Acoustic MRCSI Method -- 5.4 Mass‐density Interface Model for Zero Wave‐Speed Contrast -- 5.4.1 Synthetic Data for Zero Wave‐speed Contrast -- 5.5 Mass‐density Interface Contrast Source Inversion -- 5.5.1 Updating the Interface‐contrast Sources -- 5.5.1.1 Gradient Directions -- 5.5.1.2 Calculation of the Step Length -- 5.5.2 Updating the Interface Contrast -- 5.5.3 Initial Estimate -- 5.5.4 Regularization by Resetting Small Interface‐contrast Variation to Zero -- 5.5.5 Matlab Codes for the MICSI Method -- 5.5.6 Kirchhoff Type of Approximations -- Chapter 6 Electromagnetic Wave Inversion -- 6.1 Notation -- 6.1.1 Permittivity Contrast Only -- 6.2 Synthetic Data for Zero Permeability Contrast -- 6.3 Data Modeled with Volume and Interface Contrast Sources -- 6.4 Electromagnetic Contrast Source Inversion -- 6.4.1 Updating the Contrast Sources -- 6.4.1.1 Gradient Directions -- 6.4.1.2 Calculation of the Step Length -- 6.4.2 Updating the Contrast -- 6.4.3 Initial Estimate -- 6.4.4 Updating the Contrast with Multiplicative TV Regularization -- 6.4.5 Matlab Codes for the MRCSI Method -- 6.5 Electromagnetic Gauss-Newton Inversion -- 6.5.1 Matlab Codes for Gauss-Newton Inversion -- 6.6 Electromagnetic Defects Metrology -- 6.6.1 Data with Phase Information -- 6.6.2 Phaseless Data -- 6.6.3 Focused Data -- Matlab Scripts -- References -- Biography -- Index -- EULA. |
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Sommario/riassunto |
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"Forward scattering solutions are of increasing importance in computer |
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assisted design. A fast and accurate way to solve the problem of forward scattering helps the advancement of technologies such as integrated optics, geophysical exploration, non-destructive testing, semiconductor metrology and biomedical imaging. In this book we formulate the forward problem in terms of the domain (or volume) type of integral equations, which can be efficiently solved with the help of Fast Fourier Transformation techniques"-- |
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