{"product_id":"forward-and-inverse-scattering-algorithms-based-on-contrast-source-integral-equations-9781119741541","title":"Forward and Inverse Scattering Algorithms Based","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eIntroduction xv\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xxv\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I Forward Scattering Problem \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Scalar Waves \u003c\/b\u003e\u003cb\u003e3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Three-Dimensional Scattering by a Bounded Contrast 5\u003c\/p\u003e \u003cp\u003e1.1.1 Radiation in an Unbounded Homogeneous Embedding 5\u003c\/p\u003e \u003cp\u003e1.1.2 Scattering by a Bounded Contrast 6\u003c\/p\u003e \u003cp\u003e1.1.3 Domain-Integral Equation in the \u003ci\u003es\u003c\/i\u003e-Domain 8\u003c\/p\u003e \u003cp\u003e1.1.4 The Born Approximation in the \u003ci\u003es\u003c\/i\u003e-Domain 8\u003c\/p\u003e \u003cp\u003e1.1.5 Contrast-Source Integral Equation 9\u003c\/p\u003e \u003cp\u003e1.2 Two-Dimensional and One-Dimensional Scattering 9\u003c\/p\u003e \u003cp\u003e1.3 Numerical Solution of the Integral Equations (1D, 2D, 3D) 11\u003c\/p\u003e \u003cp\u003e1.4 Matlab Input and Output Functions 17\u003c\/p\u003e \u003cp\u003e1.5 Matlab Code for Field Integral Equations (1D, 2D, 3D) 22\u003c\/p\u003e \u003cp\u003e1.6 Matlab Code for Contrast-Source Integral Equation 30\u003c\/p\u003e \u003cp\u003e1.6.1 Performance Analysis 37\u003c\/p\u003e \u003cp\u003e1.6.2 Matlab Built-in Functions for Iterative Solution of the Contrast-Source Integral Equation 41\u003c\/p\u003e \u003cp\u003e1.7 Time-Domain Solution of Contrast-Source Integral Equation 42\u003c\/p\u003e \u003cp\u003e1.A Representation for Homogeneous Green Functions 52\u003c\/p\u003e \u003cp\u003e1.A.1 1D Green Function 52\u003c\/p\u003e \u003cp\u003e1.A.2 2D Green Function 54\u003c\/p\u003e \u003cp\u003e1.A.2.1 Cylindrical Polar Coordinates 55\u003c\/p\u003e \u003cp\u003e1.A.3 3D Green Function 56\u003c\/p\u003e \u003cp\u003e1.A.3.1 Spherical Polar Coordinates 58\u003c\/p\u003e \u003cp\u003e1.B Scattering by a Simple Canonical Configuration 58\u003c\/p\u003e \u003cp\u003e1.B.1 1D Scattering by a Slab 58\u003c\/p\u003e \u003cp\u003e1.B.2 2D Scattering by a Circular Cylinder 60\u003c\/p\u003e \u003cp\u003e1.B.3 3D Scattering by a Sphere 62\u003c\/p\u003e \u003cp\u003e1.C Matlab Codes for Scattering by Canonical Objects 64\u003c\/p\u003e \u003cp\u003e1.C.1 Matlab Code for Slab (1D) 64\u003c\/p\u003e \u003cp\u003e1.C.2 Matlab Code for Circular Cylinder (2D) 65\u003c\/p\u003e \u003cp\u003e1.C.3 Matlab Code for Sphere (3D) 70\u003c\/p\u003e \u003cp\u003e1.C.4 Scattered-Field Computations Canonical Objects 76\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Acoustic Waves \u003c\/b\u003e\u003cb\u003e79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Three-Dimensional Scattering by a Bounded Contrast 82\u003c\/p\u003e \u003cp\u003e2.1.1 Radiation in an Unbounded Homogeneous Embedding 82\u003c\/p\u003e \u003cp\u003e2.1.2 Scattering by a Bounded Contrast 83\u003c\/p\u003e \u003cp\u003e2.1.3 Contrast Source Domain Integral Equation 86\u003c\/p\u003e \u003cp\u003e2.1.4 Numerical Solution and Operators Involved (1D, 2D, 3D) 87\u003c\/p\u003e \u003cp\u003e2.1.4.1 Analytic Differentiation 88\u003c\/p\u003e \u003cp\u003e2.1.4.2 Numerical Differentiation 90\u003c\/p\u003e \u003cp\u003e2.1.4.3 Conjugate Gradient Method 92\u003c\/p\u003e \u003cp\u003e2.1.4.4 Incident AcousticWave Field 95\u003c\/p\u003e \u003cp\u003e2.1.4.5 Scattered AcousticWave Field 95\u003c\/p\u003e \u003cp\u003e2.1.4.6 Weak Form of the Spatial Derivative of the Green Function 95\u003c\/p\u003e \u003cp\u003e2.2 Matlab Codes Integral Equations: Pressure and Particle Velocity 96\u003c\/p\u003e \u003cp\u003e2.3 Single Integral Equation in Terms of Contrast inWave Speed and Gradient of Mass Density 112\u003c\/p\u003e \u003cp\u003e2.3.1 Contrast Source Formulation 114\u003c\/p\u003e \u003cp\u003e2.3.2 Conjugate Gradient Iterative Solution and Operators Involved 115\u003c\/p\u003e \u003cp\u003e2.3.2.1 Analytic Differentiation 115\u003c\/p\u003e \u003cp\u003e2.3.2.2 Numerical Differentiation 115\u003c\/p\u003e \u003cp\u003e2.3.2.3 Scattered AcousticWave Field 118\u003c\/p\u003e \u003cp\u003e2.4 Matlab Codes Integral Equations:Wave Speed and Gradient of Mass Density 119\u003c\/p\u003e \u003cp\u003e2.4.1 Performance Analysis 130\u003c\/p\u003e \u003cp\u003e2.5 Solution of Integral Equation: Interface Contrast Sources 132\u003c\/p\u003e \u003cp\u003e2.5.1 Contrast-Source Integral Equation 133\u003c\/p\u003e \u003cp\u003e2.5.2 Numerical Solution of Interface Integral Equations (2D) 134\u003c\/p\u003e \u003cp\u003e2.6 Numerical Solution Integral Equations: Volume and Interface Contrast Sources 136\u003c\/p\u003e \u003cp\u003e2.6.1 Discrete Representations in 3D 136\u003c\/p\u003e \u003cp\u003e2.6.2 Discrete Representations in 2D 141\u003c\/p\u003e \u003cp\u003e2.6.3 Discrete Representations in 1D 142\u003c\/p\u003e \u003cp\u003e2.6.4 Conjugate Gradient Iterative Solution and Operators Involved 142\u003c\/p\u003e \u003cp\u003e2.6.4.1 Scattered AcousticWave Field 144\u003c\/p\u003e \u003cp\u003e2.7 Matlab Codes Integral Equations: Volume and Interface Contrast Sources 147\u003c\/p\u003e \u003cp\u003e2.7.1 Performance Analysis 158\u003c\/p\u003e \u003cp\u003e2.7.2 Matlab BiCGSTAB Built-in Functions for Iterative Solution of the Contrast Source Integral Equation 160\u003c\/p\u003e \u003cp\u003e2.8 Time-Domain Solution of Contrast Source Integral Equation 163\u003c\/p\u003e \u003cp\u003e2.A Scattering by a Simple Canonical Configuration 170\u003c\/p\u003e \u003cp\u003e2.A.1 1D Scattering by a Slab 170\u003c\/p\u003e \u003cp\u003e2.A.2 2D Scattering by a Circular Cylinder 172\u003c\/p\u003e \u003cp\u003e2.A.2.1 No Contrast inWave Speed 174\u003c\/p\u003e \u003cp\u003e2.A.3 3D Scattering by a Sphere 177\u003c\/p\u003e \u003cp\u003e2.A.4 Scattered-Field Computations Canonical Objects 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Electromagnetic Waves \u003c\/b\u003e\u003cb\u003e181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Three-Dimensional Scattering by a Bounded Contrast 184\u003c\/p\u003e \u003cp\u003e3.1.1 Radiation in an Unbounded Homogeneous Embedding 184\u003c\/p\u003e \u003cp\u003e3.1.2 3D Incident Electromagnetic Field 186\u003c\/p\u003e \u003cp\u003e3.1.3 2D Incident Electromagnetic Field 187\u003c\/p\u003e \u003cp\u003e3.1.4 Scattering by a Bounded Contrast 187\u003c\/p\u003e \u003cp\u003e3.2 Contrast Source (E-field) Integral Equations: Permittivity Contrast Only 190\u003c\/p\u003e \u003cp\u003e3.2.1 2D Contrast Source (E-field) Integral Equations: Permittivity Contrast Only 191\u003c\/p\u003e \u003cp\u003e3.2.2 Conjugate Gradient Iterative Solution and Operators Involved 192\u003c\/p\u003e \u003cp\u003e3.2.2.1 Conjugate Gradient Method 193\u003c\/p\u003e \u003cp\u003e3.2.2.2 Scattered ElectromagneticWave Field 194\u003c\/p\u003e \u003cp\u003e3.2.3 Matlab Codes E-field Integral Equations: Permittivity Contrast Only 195\u003c\/p\u003e \u003cp\u003e3.2.3.1 Matlab BiCGSTAB Built-in Function 209\u003c\/p\u003e \u003cp\u003e3.3 E-field Equation for Volume and Interface Contrast Sources: Permittivity Contrast Only 211\u003c\/p\u003e \u003cp\u003e3.3.1 Numerical Solution with Volume and Interface Contrast Currents: Permittivity Contrast Only 214\u003c\/p\u003e \u003cp\u003e3.3.1.1 Discrete Representations in 3D 215\u003c\/p\u003e \u003cp\u003e3.3.1.2 Discrete Representations in 2D 219\u003c\/p\u003e \u003cp\u003e3.3.2 Iterative Solution and Operators Involved 219\u003c\/p\u003e \u003cp\u003e3.3.3 Matlab Codes E-field Integral Equations: Volume and Interface Contrast Sources 222\u003c\/p\u003e \u003cp\u003e3.3.4 Performance Analysis 228\u003c\/p\u003e \u003cp\u003e3.4 Contrast Source Integral Equations for Both Permittivity and Permeability Contrast 237\u003c\/p\u003e \u003cp\u003e3.4.1 Numerical Solution and Operators Involved 238\u003c\/p\u003e \u003cp\u003e3.4.1.1 Scattered ElectromagneticWave Field 240\u003c\/p\u003e \u003cp\u003e3.4.2 Matlab Codes Integral Equations for Both Permittivity and Permeability Contrast: Special Case of ZeroWave-Speed Contrast 242\u003c\/p\u003e \u003cp\u003e3.5 E-field Integral Equation for ZeroWave-Speed Contrast 249\u003c\/p\u003e \u003cp\u003e3.5.1 Numerical Solution for Interface Contrast Source Integral Equation: ZeroWave-Speed Contrast 253\u003c\/p\u003e \u003cp\u003e3.5.1.1 Discrete Representations in 3D 253\u003c\/p\u003e \u003cp\u003e3.5.2 Matlab Codes Integral Equations for ZeroWave-Speed Contrast 256\u003c\/p\u003e \u003cp\u003e3.6 Time-Domain Solution of Contrast Source Integral Equation 268\u003c\/p\u003e \u003cp\u003e3.A Scattering by a Simple Canonical Configuration 279\u003c\/p\u003e \u003cp\u003e3.A.1 2D Scattering by a Circular Cylinder 280\u003c\/p\u003e \u003cp\u003e3.A.1.1 TM Green Function of the Circular Cylinder 280\u003c\/p\u003e \u003cp\u003e3.A.1.2 Electromagnetic Field Strengths 282\u003c\/p\u003e \u003cp\u003e3.A.1.3 Matlab Codes for Circular Cylinder (2D) 284\u003c\/p\u003e \u003cp\u003e3.A.2 3D Scattering by a Sphere 292\u003c\/p\u003e \u003cp\u003e3.A.2.1 TM Green Function of the Sphere 293\u003c\/p\u003e \u003cp\u003e3.A.2.2 Electromagnetic Field Strengths 295\u003c\/p\u003e \u003cp\u003e3.A.2.3 Matlab Codes for Sphere (3D) 298\u003c\/p\u003e \u003cp\u003e3.A.3 Scattered-Field Computations Canonical Objects 306\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II Inverse Scattering Problem \u003c\/b\u003e\u003cb\u003e307\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Scalar Wave Inversion \u003c\/b\u003e\u003cb\u003e309\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Notation 309\u003c\/p\u003e \u003cp\u003e4.2 Synthetic Data 311\u003c\/p\u003e \u003cp\u003e4.3 Nonlinear Inverse Scattering Problem 320\u003c\/p\u003e \u003cp\u003e4.4 Inverse Contrast Source Problem 322\u003c\/p\u003e \u003cp\u003e4.5 Contrast Source Inversion 323\u003c\/p\u003e \u003cp\u003e4.5.1 Discretization of Green’s Operators and Norms 324\u003c\/p\u003e \u003cp\u003e4.5.2 Updating the Contrast Sources 325\u003c\/p\u003e \u003cp\u003e4.5.2.1 Gradient Directions 325\u003c\/p\u003e \u003cp\u003e4.5.2.2 Calculation of the Step Length 327\u003c\/p\u003e \u003cp\u003e4.5.3 Updating the Contrast 327\u003c\/p\u003e \u003cp\u003e4.5.4 Initial Estimate 328\u003c\/p\u003e \u003cp\u003e4.5.5 Matlab Codes for the CSI Method 329\u003c\/p\u003e \u003cp\u003e4.6 Multiplicative Regularized Contrast Source Inversion 339\u003c\/p\u003e \u003cp\u003e4.6.1 Regularization Function for the Contrast Update 339\u003c\/p\u003e \u003cp\u003e4.6.2 Updating the Contrast with Multiplicative Regularization 341\u003c\/p\u003e \u003cp\u003e4.6.3 Numerical Implementation of the Regularization 342\u003c\/p\u003e \u003cp\u003e4.6.4 Numerical Solution of Regularization Equation 343\u003c\/p\u003e \u003cp\u003e4.6.5 Matlab Codes for the MRCSI Method 344\u003c\/p\u003e \u003cp\u003e4.7 CSI Method for Reconstruction of a Few Parameters 355\u003c\/p\u003e \u003cp\u003e4.7.1 Gauss–Newton Method for the Contrast Update 358\u003c\/p\u003e \u003cp\u003e4.7.2 Matlab Codes for the Gauss–Newton Type Contrast Updating 359\u003c\/p\u003e \u003cp\u003e4.8 CSI Methods for Phaseless Data 366\u003c\/p\u003e \u003cp\u003e4.8.1 CSI Method for Measured Intensity Data 367\u003c\/p\u003e \u003cp\u003e4.8.2 CSI Method for Measured Amplitude Data 368\u003c\/p\u003e \u003cp\u003e4.9 Gauss–Newton Inversion 369\u003c\/p\u003e \u003cp\u003e4.9.1 Matlab Codes for Gauss–Newton Inversion 372\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Acoustic Wave Inversion \u003c\/b\u003e\u003cb\u003e377\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Notation 377\u003c\/p\u003e \u003cp\u003e5.1.1 Compressibility Contrast Only 378\u003c\/p\u003e \u003cp\u003e5.1.2 Mass-density Contrast Only 379\u003c\/p\u003e \u003cp\u003e5.2 Synthetic Data for Zero Compressibility Contrast 379\u003c\/p\u003e \u003cp\u003e5.3 Mass-density Contrast Source Inversion 386\u003c\/p\u003e \u003cp\u003e5.3.1 Updating the Contrast Sources 391\u003c\/p\u003e \u003cp\u003e5.3.1.1 Gradient Directions 391\u003c\/p\u003e \u003cp\u003e5.3.1.2 Calculation of the Step Length 392\u003c\/p\u003e \u003cp\u003e5.3.2 Updating the Contrast 393\u003c\/p\u003e \u003cp\u003e5.3.3 Initial Estimate 393\u003c\/p\u003e \u003cp\u003e5.3.4 Updating the Contrast with Multiplicative TV Regularization 394\u003c\/p\u003e \u003cp\u003e5.3.5 Matlab Codes for the Acoustic MRCSI Method 395\u003c\/p\u003e \u003cp\u003e5.4 Mass-density Interface Model for ZeroWave-Speed Contrast 404\u003c\/p\u003e \u003cp\u003e5.4.1 Synthetic Data for ZeroWave-speed Contrast 409\u003c\/p\u003e \u003cp\u003e5.5 Mass-density Interface Contrast Source Inversion 416\u003c\/p\u003e \u003cp\u003e5.5.1 Updating the Interface-contrast Sources 417\u003c\/p\u003e \u003cp\u003e5.5.1.1 Gradient Directions 417\u003c\/p\u003e \u003cp\u003e5.5.1.2 Calculation of the Step Length 418\u003c\/p\u003e \u003cp\u003e5.5.2 Updating the Interface Contrast 418\u003c\/p\u003e \u003cp\u003e5.5.3 Initial Estimate 419\u003c\/p\u003e \u003cp\u003e5.5.4 Regularization by Resetting Small Interface-contrast Variation to Zero 420\u003c\/p\u003e \u003cp\u003e5.5.5 Matlab Codes for the MICSI Method 420\u003c\/p\u003e \u003cp\u003e5.5.6 Kirchhoff Type of Approximations 430\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Electromagnetic Wave Inversion \u003c\/b\u003e\u003cb\u003e439\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Notation 439\u003c\/p\u003e \u003cp\u003e6.1.1 Permittivity Contrast Only 440\u003c\/p\u003e \u003cp\u003e6.2 Synthetic Data for Zero Permeability Contrast 441\u003c\/p\u003e \u003cp\u003e6.3 Data Modeled with Volume and Interface Contrast Sources 453\u003c\/p\u003e \u003cp\u003e6.4 Electromagnetic Contrast Source Inversion 459\u003c\/p\u003e \u003cp\u003e6.4.1 Updating the Contrast Sources 460\u003c\/p\u003e \u003cp\u003e6.4.1.1 Gradient Directions 461\u003c\/p\u003e \u003cp\u003e6.4.1.2 Calculation of the Step Length 462\u003c\/p\u003e \u003cp\u003e6.4.2 Updating the Contrast 462\u003c\/p\u003e \u003cp\u003e6.4.3 Initial Estimate 463\u003c\/p\u003e \u003cp\u003e6.4.4 Updating the Contrast with Multiplicative TV Regularization 464\u003c\/p\u003e \u003cp\u003e6.4.5 Matlab Codes for the MRCSI Method 464\u003c\/p\u003e \u003cp\u003e6.5 Electromagnetic Gauss–Newton Inversion 476\u003c\/p\u003e \u003cp\u003e6.5.1 Matlab Codes for Gauss–Newton Inversion 477\u003c\/p\u003e \u003cp\u003e6.6 Electromagnetic Defects Metrology 486\u003c\/p\u003e \u003cp\u003e6.6.1 Data with Phase Information 490\u003c\/p\u003e \u003cp\u003e6.6.2 Phaseless Data 493\u003c\/p\u003e \u003cp\u003e6.6.3 Focused Data 493\u003c\/p\u003e \u003cp\u003eMatlab Scripts 497\u003c\/p\u003e \u003cp\u003eReferences 499\u003c\/p\u003e \u003cp\u003eBiography 503\u003c\/p\u003e \u003cp\u003eIndex 505\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407134662999,"sku":"9781119741541","price":108.86,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119741541.jpg?v=1730498301","url":"https:\/\/bookcurl.com\/products\/forward-and-inverse-scattering-algorithms-based-on-contrast-source-integral-equations-9781119741541","provider":"Book Curl","version":"1.0","type":"link"}