{"product_id":"computational-methods-for-electromagnetic-inverse-scattering-hardback-9781119311980","title":"Computational Methods for Electromagnetic Inverse Scattering (Hardback) 9781119311980","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComputational Methods for Electromagnetic Inverse Scattering\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eXudong Chen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781119311980, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 12 June 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e328 pages\u003cbr\u003e23.1 x 14.7 x 2 cm, 0.567 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003eA comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eOffers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications\u003c\/li\u003e \u003cli\u003eCovers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods\u003c\/li\u003e \u003cli\u003eEmphasizes theory, mathematical derivation and physical insights of various inverse scattering problems\u003c\/li\u003e \u003cli\u003eWritten by a leading expert in the field\u003c\/li\u003e \u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eForeword xiii\u003c\/p\u003e \u003cp\u003ePreface xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction to Electromagnetic Inverse Scattering Problems 1\u003c\/p\u003e \u003cp\u003e1.2 Forward Scattering Problems 2\u003c\/p\u003e \u003cp\u003e1.3 Properties of Inverse Scattering Problems 3\u003c\/p\u003e \u003cp\u003e1.4 Scope of the Book 6\u003c\/p\u003e \u003cp\u003eReferences 9\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Fundamentals of Electromagnetic Wave Theory 13\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Maxwell’s Equations 13\u003c\/p\u003e \u003cp\u003e2.1.1 Representations in Differential Form 13\u003c\/p\u003e \u003cp\u003e2.1.2 Time-Harmonic Forms 14\u003c\/p\u003e \u003cp\u003e2.1.3 Boundary Conditions 15\u003c\/p\u003e \u003cp\u003e2.1.4 Constitutive Relations 16\u003c\/p\u003e \u003cp\u003e2.2 General Description of a Scattering Problem 16\u003c\/p\u003e \u003cp\u003e2.3 Duality Principle 18\u003c\/p\u003e \u003cp\u003e2.4 Radiation in Free Space 18\u003c\/p\u003e \u003cp\u003e2.5 Volume Integral Equations for Dielectric Scatterers 20\u003c\/p\u003e \u003cp\u003e2.6 Surface Integral Equations for Perfectly Conducting Scatterers 21\u003c\/p\u003e \u003cp\u003e2.7 Two-Dimensional Scattering Problems 22\u003c\/p\u003e \u003cp\u003e2.8 Scattering by Small Scatterers 24\u003c\/p\u003e \u003cp\u003e2.8.1 Three-Dimensional Case 24\u003c\/p\u003e \u003cp\u003e2.8.2 Two-Dimensional Case 27\u003c\/p\u003e \u003cp\u003e2.8.3 Scattering by a Collection of Small Scatterers 28\u003c\/p\u003e \u003cp\u003e2.8.4 Degrees of Freedom 28\u003c\/p\u003e \u003cp\u003e2.9 Scattering by Extended Scatterers 29\u003c\/p\u003e \u003cp\u003e2.9.1 Nonmagnetic Dielectric Scatterers 29\u003c\/p\u003e \u003cp\u003e2.9.2 Perfectly Electrically Conducting Scatterers 31\u003c\/p\u003e \u003cp\u003e2.10 Far-Field Approximation 32\u003c\/p\u003e \u003cp\u003e2.11 Reciprocity 34\u003c\/p\u003e \u003cp\u003e2.12 Huygens’ Principle and Extinction Theorem 35\u003c\/p\u003e \u003cp\u003eReferences 39\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Time-Reversal Imaging 41\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Time-Reversal Imaging for Active Sources 41\u003c\/p\u003e \u003cp\u003e3.1.1 Explanation Based on Geometrical Optics 41\u003c\/p\u003e \u003cp\u003e3.1.2 Implementation Steps 43\u003c\/p\u003e \u003cp\u003e3.1.3 Fundamental Theory 45\u003c\/p\u003e \u003cp\u003e3.1.4 Analysis of Resolution 48\u003c\/p\u003e \u003cp\u003e3.1.5 Vectorial Wave 49\u003c\/p\u003e \u003cp\u003e3.2 Time-Reversal Imaging for Passive Sources 53\u003c\/p\u003e \u003cp\u003e3.2.1 Imaging by an Iterative Time-Reversal Process 54\u003c\/p\u003e \u003cp\u003e3.2.2 Imaging by the DORT Method 55\u003c\/p\u003e \u003cp\u003e3.2.3 Numerical Simulations 56\u003c\/p\u003e \u003cp\u003e3.3 Discussions 62\u003c\/p\u003e \u003cp\u003eReferences 64\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Inverse Scattering Problems of Small Scatterers 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Forward Problem: Foldy–Lax Equation 68\u003c\/p\u003e \u003cp\u003e4.2 Uniqueness Theorem for the Inverse Problem 69\u003c\/p\u003e \u003cp\u003e4.2.1 Inverse Source Problem 70\u003c\/p\u003e \u003cp\u003e4.2.2 Inverse Scattering Problem 71\u003c\/p\u003e \u003cp\u003eLocating Positions 72\u003c\/p\u003e \u003cp\u003eRetrieving Scattering Strength 72\u003c\/p\u003e \u003cp\u003e4.3 Numerical Methods 73\u003c\/p\u003e \u003cp\u003e4.3.1 Multiple Signal Classification Imaging 73\u003c\/p\u003e \u003cp\u003e4.3.2 Noniterative Retrieval of Scattering Strength 77\u003c\/p\u003e \u003cp\u003e4.4 Inversion of a Vector Wave Equation 79\u003c\/p\u003e \u003cp\u003e4.4.1 Forward Problem 79\u003c\/p\u003e \u003cp\u003e4.4.2 Multiple Signal Classification Imaging 82\u003c\/p\u003e \u003cp\u003eNondegenerate Case 82\u003c\/p\u003e \u003cp\u003eDegenerate Case 83\u003c\/p\u003e \u003cp\u003e4.4.3 Noniterative Retrieval of Scattering Strength Tensors 88\u003c\/p\u003e \u003cp\u003e4.4.4 Subspace Imaging Algorithm with Enhanced Resolution 90\u003c\/p\u003e \u003cp\u003e4.5 Discussions 97\u003c\/p\u003e \u003cp\u003eReferences 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Linear Sampling Method 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Outline of the Linear Sampling Method 104\u003c\/p\u003e \u003cp\u003e5.2 Physical Interpretation 106\u003c\/p\u003e \u003cp\u003e5.2.1 Source Distribution 106\u003c\/p\u003e \u003cp\u003e5.2.2 Multipole Radiation 108\u003c\/p\u003e \u003cp\u003e5.3 Multipole-Based Linear Sampling Method 109\u003c\/p\u003e \u003cp\u003e5.3.1 Description of the Algorithm 109\u003c\/p\u003e \u003cp\u003e5.3.2 Choice of the Number of Multipoles 110\u003c\/p\u003e \u003cp\u003e5.3.3 Comparison with Tikhonov Regularization 113\u003c\/p\u003e \u003cp\u003e5.3.4 Numerical Examples 114\u003c\/p\u003e \u003cp\u003e5.4 Factorization Method 116\u003c\/p\u003e \u003cp\u003e5.5 Discussions 118\u003c\/p\u003e \u003cp\u003eReferences 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Reconstructing Dielectric Scatterers 123\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 124\u003c\/p\u003e \u003cp\u003e6.1.1 Uniqueness, Stability, and Nonlinearity 124\u003c\/p\u003e \u003cp\u003e6.1.2 Formulation of the Forward Problem 126\u003c\/p\u003e \u003cp\u003e6.1.3 Optimization Approach to the Inverse Problem 127\u003c\/p\u003e \u003cp\u003e6.2 Noniterative Inversion Methods 129\u003c\/p\u003e \u003cp\u003e6.2.1 Born Approximation Inversion Method 130\u003c\/p\u003e \u003cp\u003e6.2.2 Rytov Approximation Inversion Method 130\u003c\/p\u003e \u003cp\u003e6.2.3 Extended Born Approximation Inversion Method 131\u003c\/p\u003e \u003cp\u003e6.2.4 Back-Propagation Scheme 133\u003c\/p\u003e \u003cp\u003e6.2.5 Numerical Examples 134\u003c\/p\u003e \u003cp\u003e6.3 Full-Wave Iterative Inversion Methods 139\u003c\/p\u003e \u003cp\u003e6.3.1 Distorted Born Iterative Method 139\u003c\/p\u003e \u003cp\u003e6.3.2 Contrast Source Inversion Method 142\u003c\/p\u003e \u003cp\u003e6.3.3 Contrast Source Extended Born Method 144\u003c\/p\u003e \u003cp\u003e6.3.4 Other Iterative Models 146\u003c\/p\u003e \u003cp\u003e6.4 Subspace-Based Optimization Method (SOM) 149\u003c\/p\u003e \u003cp\u003e6.4.1 Gs-SOM 149\u003c\/p\u003e \u003cp\u003e6.4.2 Twofold SOM 161\u003c\/p\u003e \u003cp\u003e6.4.3 New Fast Fourier Transform SOM 164\u003c\/p\u003e \u003cp\u003e6.4.4 SOM for the Vector Wave 169\u003c\/p\u003e \u003cp\u003e6.5 Discussions 171\u003c\/p\u003e \u003cp\u003eReferences 174\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Reconstructing Perfect Electric Conductors 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 183\u003c\/p\u003e \u003cp\u003e7.1.1 Formulation of the Forward Problem 183\u003c\/p\u003e \u003cp\u003e7.1.2 Uniqueness and Stability 184\u003c\/p\u003e \u003cp\u003e7.2 Inversion Models Requiring Prior Information 185\u003c\/p\u003e \u003cp\u003e7.3 Inversion Models Without Prior Information 186\u003c\/p\u003e \u003cp\u003e7.3.1 Transverse-Magnetic Case 187\u003c\/p\u003e \u003cp\u003e7.3.2 Transverse-Electric Case 192\u003c\/p\u003e \u003cp\u003e7.4 Mixture of PEC and Dielectric Scatterers 196\u003c\/p\u003e \u003cp\u003e7.5 Discussions 202\u003c\/p\u003e \u003cp\u003eReferences 203\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Inversion for Phaseless Data 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 207\u003c\/p\u003e \u003cp\u003e8.2 Reconstructing Point-Like Scatterers by Subspace Methods 209\u003c\/p\u003e \u003cp\u003e8.2.1 Converting a Nonlinear Problem to a Linear One 210\u003c\/p\u003e \u003cp\u003e8.2.2 Rank of the Multistatic Response Matrix 212\u003c\/p\u003e \u003cp\u003e8.2.3 MUSIC Localization and Noniterative Retrieval 213\u003c\/p\u003e \u003cp\u003e8.3 Reconstructing Point-Like Scatterers by Compressive Sensing 214\u003c\/p\u003e \u003cp\u003e8.3.1 Introduction to Compressive Sensing 214\u003c\/p\u003e \u003cp\u003e8.3.2 Solving Phase-Available Inverse Problems by CS 215\u003c\/p\u003e \u003cp\u003e8.3.3 Solving Phaseless Inverse Problems by CS 216\u003c\/p\u003e \u003cp\u003e8.3.4 Applicability of CS 218\u003c\/p\u003e \u003cp\u003e8.3.5 Numerical Examples 219\u003c\/p\u003e \u003cp\u003e8.4 Reconstructing Extended Dielectric Scatterers 220\u003c\/p\u003e \u003cp\u003e8.5 Discussions 223\u003c\/p\u003e \u003cp\u003eReferences 224\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Inversion with an Inhomogeneous Background Medium 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 227\u003c\/p\u003e \u003cp\u003e9.2 Integral Equation Approach via Numerical Green’s Function 229\u003c\/p\u003e \u003cp\u003e9.3 Differential Equation Approach 235\u003c\/p\u003e \u003cp\u003e9.4 Homogeneous Background Approach 240\u003c\/p\u003e \u003cp\u003e9.5 Examples of Three-Dimensional Problems 243\u003c\/p\u003e \u003cp\u003e9.5.1 Confocal Laser Scanning Microscope 246\u003c\/p\u003e \u003cp\u003e9.5.2 Near-Field Scanning Microwave Impedance Microscopy 249\u003c\/p\u003e \u003cp\u003e9.6 Discussions 252\u003c\/p\u003e \u003cp\u003eReferences 254\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Resolution of Computational Imaging 257\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Diffraction-Limited Imaging System 257\u003c\/p\u003e \u003cp\u003e10.2 Computational Imaging 261\u003c\/p\u003e \u003cp\u003e10.2.1 Inverse Source Problem 261\u003c\/p\u003e \u003cp\u003e10.2.2 Inverse Scattering Problem 262\u003c\/p\u003e \u003cp\u003e10.3 Cramér–Rao Bound 264\u003c\/p\u003e \u003cp\u003e10.4 Resolution under the Born Approximation 268\u003c\/p\u003e \u003cp\u003e10.5 Discussions 272\u003c\/p\u003e \u003cp\u003e10.6 Summary 277\u003c\/p\u003e \u003cp\u003eReferences 278\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendices A Ill-Posed Problems and Regularization 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA. 1 Ill-Posed Problems 281\u003c\/p\u003e \u003cp\u003eA. 2 Regularization Theory 282\u003c\/p\u003e \u003cp\u003eA. 3 Regularization Schemes 283\u003c\/p\u003e \u003cp\u003eA. 4 Regularization Parameter Selection Methods 286\u003c\/p\u003e \u003cp\u003eA. 5 Discussions 288\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Least Squares 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Geometric Interpretation of Least Squares 291\u003c\/p\u003e \u003cp\u003eB.2 Gradient of Squared Residuals 292\u003c\/p\u003e \u003cp\u003e\u003cb\u003eC conjugate Gradient Method 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eC.1 Solving General Minimization Problems 295\u003c\/p\u003e \u003cp\u003eC.2 Solving Linear Equation Systems 296\u003c\/p\u003e \u003cp\u003e\u003cb\u003eD Matrix-Vector Product by the FFT Procedure 299\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eD. 1 One-Dimensional Case 299\u003c\/p\u003e \u003cp\u003eD. 2 Two-Dimensional Case 300\u003c\/p\u003e \u003cp\u003eAppendix References 301\u003c\/p\u003e \u003cp\u003eIndex 303\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Electronics \u0026amp; communications engineering [\u003ca title=\"See our other books on Electronics \u0026amp; communications engineering\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Electronics%20\u0026amp;%20communications%20engineering%20%5BTJ%5D%22\"\u003eTJ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-IEEE Press","offers":[{"title":"Brand New","offer_id":52428550177048,"sku":"9781119311980","price":91.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781119311980.jpg?v=1784679483","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/computational-methods-for-electromagnetic-inverse-scattering-hardback-9781119311980","provider":"Freshly Printed Books","version":"1.0","type":"link"}