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Ike E.R., Sabatier P.C. (Ed) — Scattering: Scattering and Inverse Scattering in Pure and Applied Science
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.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 1831

Добавлена в каталог: 04.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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$\ddot{o}$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, $R$-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$\ddot{o}$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$\ddot{o}$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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