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Ike E.R., Sabatier P.C. (Ed) — Scattering: Scattering and Inverse Scattering in Pure and Applied Science
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Название: Scattering: Scattering and Inverse Scattering in Pure and Applied Science
Авторы: Ike E.R., Sabatier P.C. (Ed)
Аннотация: This comprehensive work of the various features of scattering is a handsome, two-volume boxed set of 100 articles covering wave scattering by macroscopic targets, scattering in microscopic physics and chemical physics, scattering in nuclear physics, particle scattering, scattering at extreme physical scales, and scattering in mathematics and non-physical sciences. Whatever the phenomena, the aim in explaining all the diverse scattering phenomena is to tease out—from the underlying particle or wave theory expressed in the form of differential equations—those features that describe scattering. Such features fall into two overarching problems: the "direct scattering problem" whereby the researcher must imagine waves coming from a given direction with a certain wavelength or energy, impinging upon an obstacle, traversing a locally nonuniform medium or interacting with a center of force, and detecting them at large distances in other directions and possibly, at other energies or wavelengths. Or, the "inverse problem" whereby the aim is to obtain, at large distances, information about the local nature of the unknown medium or force that caused the scattering. Addressing the specifics of these overarching problems is an international array of contributors identified by their institution and full contact information.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2001
Количество страниц: 1831
Добавлена в каталог: 04.07.2008
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Предметный указатель
Diffusion tomography in dense media, adjoint-field method 931-932
Diffusion tomography in dense media, Born approximation 927
Diffusion tomography in dense media, boundary conditions 922-923
Diffusion tomography in dense media, diffusion approximation 923-927
Diffusion tomography in dense media, experimental methods 920-922
Diffusion tomography in dense media, filtered backpropagation 933
Diffusion tomography in dense media, future directions 933-934
Diffusion tomography in dense media, ill-posedness 928-929
Diffusion tomography in dense media, imaging systems 921-922
Diffusion tomography in dense media, introduction 920
Diffusion tomography in dense media, linearisation 929-931
Diffusion tomography in dense media, Newton methods 932
Diffusion tomography in dense media, perturbation analysis 927-928
Diffusion tomography in dense media, photon transport 922-923
Diffusion tomography in dense media, reconstruction methods 932-933
Diffusion tomography in dense media, Rytov approximation 927-928
Diffusion tomography in dense media, sensitivity functions 930-931
Diffusion tomography in dense media, spectroscopic measurements 920-921
Diffusion tomography in dense media, time-domain case 932
Diffusion tomography in dense media, visible and near-visible light scattering 920-936
Diffusion tomography in dense media, void problem 933-934
Diffusive wavefield, eddy-current scattering 503-504
Digital impulse radars 460-461
Dip-shoulder region 1560-1562
Dirac delta distributions 319
Dirac distribution 98
Dirac equation, plane wave solutions 1444-1446
Dirac notation 11
Direct boundary integral equation method 55 194
Direct detection spectroscopy, Cramer - Rao lower bound 794
Direct potential scattering, approximate methods 717-725
Direct potential scattering, Born approximation 721-722
Direct potential scattering, Coulomb potential 683-684
Direct potential scattering, Eikonal approximation 718-719
Direct potential scattering, embedding methods 724
Direct potential scattering, Huygen’s principle 719-720
Direct potential scattering, informative methods 723-724
Direct potential scattering, linearised methods 721-723
Direct potential scattering, moment methods 723
Direct potential scattering, non - Born linearisations 722-723
Direct potential scattering, one-dimensional analyses 720-721
Direct potential scattering, radial Schr dinger equation 669-685
Direct potential scattering, rays in stratified media 718
Direct potential scattering, rays, curved, in continuous medium 718
Direct potential scattering, semiclassical approach 717-721
Direct potential scattering, semirelativistic wave scattering 702-716
Direct potential scattering, spherically symmetric potentials 672-683
Direct potential scattering, three-dimensional direct scattering theory 686-701
Direct potential scattering, variable phase approach 723-724
Direct reaction theories 1360-1373
Direct reaction theories, -matrix solutions 1369
Direct reaction theories, Born approximation for distorted wave 1363-1364
Direct reaction theories, Born approximation, multistep 1368-1369
Direct reaction theories, Born approximation, one-step 1363-1364
Direct reaction theories, channel couplings 1365-1368
Direct reaction theories, compound nuclear states eliminated 1361-1362
Direct reaction theories, conclusions 1371
Direct reaction theories, coupled channels methods 1368-1371
Direct reaction theories, coupled reaction channels 1368-1371
Direct reaction theories, direct reaction model space 1360-1361
Direct reaction theories, distorted wave Born approximation 1363-1364
Direct reaction theories, introduction 1360
Direct reaction theories, iterative solutions 1369
Direct reaction theories, model Schr dinger equation 1362-1363
Direct reaction theories, multistep Born approximation 1368-1369
Direct reaction theories, nuclear rotational model 1365-1366
Direct reaction theories, one-step Born approximation 1363-1364
Direct reaction theories, optical potential 1364
Direct reaction theories, partial-wave expansions 1364-1365
Direct reaction theories, rearrangement reactions 1366-1368
Direct reaction theories, Schr dinger equation, model wave function 1362-1363
Direct reaction theories, transition amplitudes 1363
Direct scattering problem, inverse scattering theory 754-758
Direct scattering problem, media scattering (acoustic) 76-78
Direct scattering problem, media scattering (electromagnetic) 212-215
Direct scattering problem, obstacles scattering (acoustic) 53-54
Direct-detection spectroscopy, instrumentation 796-797
Direct-detection spectroscopy, measurement accuracy 794
Dirichlet boundary conditions 5 6 324
Dirichlet-to - Neumann and S-matrix operators, mathematical theories 1678-1688
Dirichlet-to - Neumann map (DN map) 1678
Dirichlet-to - Neumann map, definition 1678-1679
Dirichlet-to - Neumann map, features 1679-1681
Dirichlet-to - Neumann map, Krein formula 1682-1686
Dirichlet-to - Neumann map, obstacles scattering (acoustic) 56-57
Dirichlet-to - Neumann map, scattering problems 1681-1682
Dirichlet-to - Neumann map, Weyl function 1686-1687
Dirichlet-to - Neumann operator, Dirichlet-to Neumann map and Krein formula 1682-1686
Dirichlet-to - Neumann operator, Dirichlet-to Neumann map and Weyl function 1686 1687
Dirichlet-to - Neumann operator, Dirichlet-to Neumann map in scattering problems 1681 1682
Dirichlet-to-Neumann operator, Dirichlet-to Neumann map definition 1678-1679
Dirichlet-to-Neumann operator, Dirichlet-to Neumann map features 1679-1681
DIS (deep inelastic scatterer) 1565
Discontinuities in nonconducting boundaries, high-frequency methods 269-271
Disordered crystals 1158-1159
Dispersion relation, three-dimensional direct scattering theory 693
Dispersion-managed solitons (DM) 1741
Dispersion-managed solitons, basic model 1747
Dispersion-managed solitons, conclusions 1750-1751
Dispersion-managed solitons, expansion 1749-1750
Dispersion-managed solitons, Gauss - Hermite functions 1749-1750
Dispersion-managed solitons, path-average theory 1747-1748
Dispersion-managed solitons, root-mean-square method 1748-1749
Dispersion-managed solitons, solitons, applications 1745-1751
Dispersive and complex material, bisotropic media 289-292
Dispersive and complex material, dissipation concept 279
Dispersive and complex material, electromagnetic waves scattering 277-294
Dispersive and complex material, extraordinary wave 287-288
Dispersive and complex material, first precursor 282-283
Dispersive and complex material, half-space problems 288-289
Dispersive and complex material, hyper - Airy functions 292-293
Dispersive and complex material, impulse response behaviour 282-285
Dispersive and complex material, introduction 277-278
Dispersive and complex material, isotropic homogeneous media 280-282
Dispersive and complex material, linear materials modelling 278-280
Dispersive and complex material, numerical examples 285-288
Dispersive and complex material, ordinary wave 285-287
Dispersive and complex material, scattering by a slab 288-289
Dispersive and complex material, second precursor 283-285
Dispersive and complex material, wave propagator 281-282
Dissipative problem, surface water waves 622
Dissociative chemisorption 1075-1076
Distorted Born method, nonlinear scalar in-verse scattering 148-149
Distorted Green function, nonlinear scalar inverse scattering 148
Distorted wave Born approximation (DWBA) 1364
Distorted wave Born approximation (DWBA), direct reaction theories 1363-1364
Divergence-conforming bases 345
DM (dispersion-managed solitons) 1741
DN map (Dirichlet-to Neumann map) 1678
DoF (degrees of freedom) 325
Doped crystal 376
Double - Kirchoff scattering 25
Double-layer potential 6 45-48
DRC (differential reflection coefficient) 378
Dromions scattering, DS equations 1784-1787
Dromions scattering, ghost solitons 1784
Dromions scattering, introduction 1783
Dromions scattering, KP equations 1784
Dromions scattering, solitons and solitoffs 1787-1788
Droplet model of Yang and collaborators 1584-1585
DS equations 1784-1787
Duhamels’ principle 288
DWBA (distorted wave Born approximation) 1364
DWL (space-borne Doppler wind lidar) 953-955
Dynamical diffraction of X-rays, X-ray scattering 1112-1122
Dynamical equations in Fadeev form 1342-1343
ECA (elementary cellular automata) 1754
Echography 116-118
Echography, ultrasound in medical diagnosis 164
ECM (equivalent current method) 245
Eddy-current scattering, conclusions 501-505
Eddy-current scattering, diffusive wavefield 503-504
Eddy-current scattering, electromagnetic waves scattering 486-507
Eddy-current scattering, far field 498
Eddy-current scattering, formulations compared 500
Eddy-current scattering, governing equations 498-500
Eddy-current scattering, Green’s functions of layered media 489-497
Eddy-current scattering, integral formulations 489-497
Eddy-current scattering, inverse scattering 501-505
Eddy-current scattering, numerical illustration 495-497
Eddy-current scattering, prototype problems 491-495
Eddy-current scattering, scope and background 486-489
Eddy-current scattering, three-dimensional problems 497-501
Eddy-current scattering, time-harmonic problems 488-489
Eddy-current scattering, torus containing cracks problem 500
Eddy-current scattering, Whitney elements 498-500
Edge diffraction, high-frequency methods 257-261
Edged-based basis function 352
EEG (electro-encephalogram) 513
EELS (electron energy loss spectrometry) 1304
EEM (eigenmode expansion method) 433-434
EFIE (electric field integral equation) 24 320
Eibert, Thomas F. and John L. Volakis, Antennas, Radar and Mobile Communications 384-406
Eigenfunction analysis, photon correlation spectroscopy 900
Eigenfunction expansions 12
Eigenfunctions generalised, surface water waves 632-634
Eigenmode expansion method (EEM) 433-434
Eigenvector decomposition of scattering coherency matrices, scattering polarimetry 423-426
Eikonal approximation 13 718-719 1389-1384
Eikonal phase shift corrections 1385
Eikonal two-body scattering 1382-1384
Elastance matrix 338
Elastic body waves scattering 543-561
Elastic body waves scattering, Born approximation 550-555
Elastic body waves scattering, introduction 543-544
Elastic body waves scattering, multiple scattering 555-559
Elastic body waves scattering, numerical methods 550
Elastic body waves scattering, plane wave by a spherical cavity 544-547
Elastic body waves scattering, plane wave diffracted by a half-plane 547-550
Elastic full-waveform inversion 587-590
Elastic magnetic scattering from crystals 1177-1178
Elastic scattering from crystalline solids 1157-1164
Elastic scattering from crystalline solids, applications 1162-1164
Elastic scattering from crystalline solids, disordered crystals 1158-1159
Elastic scattering from crystalline solids, experimental methods 1159-1162
Elastic scattering from crystalline solids, ordered crystal 1157-1158
Elastic scattering of polarised nuclei 1424-1429
Elastic scattering, asymptotic dispersion relation 1495
Elastic scattering, few-body models of nuclear reactions 1379
Elastic scattering, high-energy elastic scattering 1559-1563
Elastic scattering, recoil adiabatic approximation 1381 1382
Elastic scattering, spin-dependent forces 1421
Elastic surface waves, Born approximation 566-567
Elastic surface waves, elastodynamic waves scattering 562-577
Elastic surface waves, Green’s tensor gradient 565
Elastic surface waves, Green’s tensor in the far field 562-565
Elastic surface waves, isotropic perturbation, scattering coefficient 567-570
Elastic surface waves, mode coupling 574-575
Elastic surface waves, phase velocity perturbation, scattering coefficient 571-572
Elastic surface waves, ray theory 572-574
Elastic surface waves, recent developments 575-576
Elastic surface waves, scattering amplitude 565-566
Elastic surface waves, scattering coefficient, isotropic perturbation 567-570
Elastic surface waves, scattering coefficient, phase velocity perturbation 571-572
Elastic surface waves, scattering coefficient, surface topography 570-571
Elastic surface waves, surface topography, scattering coefficient 570-571
Elastic to total cross section ratio 1558
Elastic unitarity 1540
Elastic wave governing equations, nondestructive testing with ultrasound 595-602
Elastic wave scattering, anistropic media 537-541
Elastic wave scattering, Born approximation of elastic waves 533-534
Elastic wave scattering, elastic body waves 543-561
Elastic wave scattering, Green’s tensor in dyadic form 534-537
Elastic wave scattering, Lippman - Schwinger equation 532-533
Elastic wave scattering, principles 528-530
Elastic wave scattering, representation theorem 531-532
Elastic wave scattering, seismogram 530-531
Elastic waves 122
Elastic waves imaging and inversion 578-593
Elastodynamic waves scattering, acoustic waves imaging and inversion 578-593
Elastodynamic waves scattering, elastic body waves scattering 543-561
Elastodynamic waves scattering, elastic surface waves 562-577
Elastodynamic waves scattering, elastic waves imaging and inversion 578-593
Elastodynamic waves scattering, imaging and inversion 578-593
Elastodynamic waves scattering, ultrasound non-destructive testing 594-617
Elastodynamic waves scattering, waveform inversion 578-593
Electric dipoles and plane waves scattering 198
Electric far field pattern 181 215
Electric field integral equation (EFIE) 24 320
Electric Power Research Institute (EPRI) 463
Electric scattering amplitude 236
Electric to magnetic boundary component map 196
Electro-encephalogram (EEC) 513
Electromagnetic Herglotz pair 187 206 216
Electromagnetic hypersensitive people 508
Electromagnetic interior transmission problem 216
Electromagnetic Nondestructive Evaluation book series (ENDE) 502
Electromagnetic scattering, rough surfaces 23-25
Electromagnetic singularity identification (EMSI) 432
Electromagnetic wave propagation, Maxwell equations 175-177
Electromagnetic wave scattering, anisotropic media 188
Electromagnetic wave scattering, antennas 384-399
Electromagnetic wave scattering, basic problems 233
Electromagnetic wave scattering, biological effects of radio-frequency electromagnetic wave scattering, fields 508-527
Electromagnetic wave scattering, computational methods 316-365
Electromagnetic wave scattering, dispersive and complex material 277-294
Electromagnetic wave scattering, eddy-current scattering 486-507
Electromagnetic wave scattering, far field pattern 181
Electromagnetic wave scattering, fractal models 467-485
Electromagnetic wave scattering, frequency domain methods 316
Electromagnetic wave scattering, general problems 231-234
Electromagnetic wave scattering, ground probing radar 448-466
Electromagnetic wave scattering, Herglotz wave fields 187-188
Electromagnetic wave scattering, high-frequency methods 245-276
Electromagnetic wave scattering, impedance problem 233
Electromagnetic wave scattering, inverse obstacle problems 202-204
Electromagnetic wave scattering, low-frequency scattering 230-244
Electromagnetic wave scattering, Maxwell’s equations 317
Electromagnetic wave scattering, media scattering 211-229
Electromagnetic wave scattering, mobile communications 402-406
Electromagnetic wave scattering, numerical techniques 316-365
Electromagnetic wave scattering, obstacles scattering 191-210
Electromagnetic wave scattering, orthotropic media 188-189
Electromagnetic wave scattering, perfect conductor problem 233
Electromagnetic wave scattering, potential representations 317
Electromagnetic wave scattering, pulsed beam solutions 295-315
Electromagnetic wave scattering, radar 399-402
Electromagnetic wave scattering, radio-frequency fields 508-527
Electromagnetic wave scattering, scattering amplitude 181-182
Electromagnetic wave scattering, scattering polarimetry 407-430
Electromagnetic wave scattering, singularity expansion method 431-438
Electromagnetic wave scattering, Stratton - Chu formula 177-181
Electromagnetic wave scattering, surface vector potentials 184-187
Electromagnetic wave scattering, symmetry and target identification 438-446
Electromagnetic wave scattering, target identification 442-446
Electromagnetic wave scattering, theoretical tools 175-190
Electromagnetic wave scattering, time-domain techniques 277-294
Electromagnetic wave scattering, transmission problem 233
Electromagnetic wave scattering, two dimensional case 188
Electromagnetic wave scattering, vector spherical wave functions 182-184
Electromagnetic wave scattering, vector wave equations 317
Electromagnetic wave scattering, wave diffraction methods 366-383
Electromagnetic waves scattering 177-181
Electron anomaly 1478-1479
Electron correlations 1095-1096
Electron diffraction and scattering - theory, atomic scattering amplitude 1290-1291
Electron diffraction and scattering - theory, Bloch waves, significance 1301-1302
Electron diffraction and scattering - theory, Bragg law 1293
Electron diffraction and scattering - theory, conclusions 1302
Electron diffraction and scattering - theory, crystal potential 1297-1299
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