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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
ed2k: ed2k stats
Год издания: 2001
Количество страниц: 1831
Добавлена в каталог: 04.07.2008
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Предметный указатель
Pulsed beam solutions, complex source pulsed beam in free space 296-300
Pulsed beam solutions, conclusions 312
Pulsed beam solutions, curved interfaces 302-304
Pulsed beam solutions, electromagnetic wave scattering 295-315
Pulsed beam solutions, expansion of pulsed radiation and propagation 309-312
Pulsed beam solutions, homogeneous media 300-302
Pulsed beam solutions, inhomogeneous media 300-302
Pulsed beam solutions, introduction 295-296
Pulsed beam solutions, parameterisation of the real signal 298
Pulsed beam solutions, reflection and transmission at curved interfaces 302-304
Pulsed beam solutions, STT procedure in general 305-309
Pulsed beam solutions, summary 295-296
Pulsed beams (PB) 295
Pump depletion 962-963
QCD (Quantum chromodynamics) 1502
QED (Quantum Electrodynamics) 1435
QED in external fields 713-714
QPM (quark Parton model) 1565
Quantum chromodynamics (QCD) 1502
Quantum chromodynamics and the critical pomeron, -matrix theory 1500-1502
Quantum chromodynamics and the critical pomeron, colour superconductivity 1500-1501
Quantum chromodynamics and the critical pomeron, quark saturation and infrared fixed point 1501
Quantum chromodynamics and the critical pomeron, Reggeon diagrams 1500
Quantum chromodynamics and the critical pomeron, supercritical Pomeron 1500-1501
Quantum chromodynamics and the critical pomeron, uniqueness of the -matrix 1501-1502
Quantum chromodynamics models 1554-1555
Quantum chromodynamics, -matrix theory 1488-1489
Quantum degenerate gases 1056-1060
Quantum degenerate gases, Bose - Einstein condensation 1056-1057
Quantum degenerate gases, cesium 1059-1060
Quantum degenerate gases, hydrogen 1057-1058
Quantum degenerate gases, lithium 1058
Quantum degenerate gases, others 1060
Quantum degenerate gases, potassium 1059
Quantum degenerate gases, rubidium 1059
Quantum degenerate gases, sodium 1058-1059
Quantum electrodynamics (QED) 1435
Quantum electrodynamics, -matrix elements in field theory 1449-1450
Quantum electrodynamics, -matrix LSZ reduction 1450-1451
Quantum electrodynamics, classical electrodynamics 1436-1438
Quantum electrodynamics, Dirac equation, plane wave solutions 1444-1446
Quantum electrodynamics, Feynman rules and diagrams 1452-1455
Quantum electrodynamics, Fock space of free photons 1439-1440
Quantum electrodynamics, free Dirac field 1443-1448
Quantum electrodynamics, free quantum electromagnetic field 1439-1442
Quantum electrodynamics, gauge transformations 1436-1437
Quantum electrodynamics, interaction of Dirac field with electromagnetic field 1448-1449
Quantum electrodynamics, introduction 1435-1436
Quantum electrodynamics, Lagrangian formulation 1437-1438
Quantum electrodynamics, normal ordering 1441
Quantum electrodynamics, perturbation theory 1451-1455
Quantum electrodynamics, perturbation theory renormalised 1455-1460
Quantum electrodynamics, physical photon states 1440-1441
Quantum electrodynamics, state of the art of pertubative methods 1435-1461
Quantum electrodynamics, translation invariance 1441
Quantum mean-field methods 1096-1097
Quantum scattering theory, time dependent 1074 1076
Quantum scattering theory, time- independent 1069-1073
Quantum tunnelling 1232-1233
Quark distributions from deep inelastic scatterer data 1571-1574
Quark Parton model 1569-1571
Quark Parton model (QPM) 1565
Quarks identified 1570
Quasi-adiabatic approximation 1380
Quasi-elastic light scattering phenomena, introduction 788
Quasi-elastic light scattering phenomena, light scattering from gases 790
Quasi-elastic light scattering phenomena, light scattering from liquids 788-789
Quasi-elastic light scattering phenomena, light scattering from solids 789-790
Quasi-elastic light scattering phenomena, light scattering spectroscopy 788-790
Quasi-elastic scattering 1265-120
Quasi-elastic scattering, introduction 1265
Quasi-elastic scattering, Larmor precession 1265-1266
Quasi-elastic scattering, neutron resonance spin echo 1266-1268
Quasi-elastic scattering, quantum mechanical treatment 1268-1270
Quasi-elastic scattering, ray tracing model 1268
Quasi-image 104
Quasi-smooth surface 477
Quasielastic spectroscopy 1210
Quasinormal modes, Kerr black hole 1624 1625
Quasinormal modes, scattering by black holes 1615-1617
Quasiparticles interaction, Raman scattering 832
Radar cross section (RCS) 268
Radar, acronym 448
Radar, antennas 401-402
Radar, data classification scheme 426
Radar, electromagnetic wave scattering 399-402
Radar, fundamentals 399-400
Radar, ground probing 448-466
Radar, polarimetry 411
Radar, types 400-401
Radial inverse scattering problems, eigenfunction expansion 728-729
Radial inverse scattering problems, Gel’fand - Levitan integral equation 739-730
Radial inverse scattering problems, integral representation 727-728
Radial inverse scattering problems, Marchenko equation 731 732
Radial inverse scattering, experiments and inverse problems 734-735
Radial inverse scattering, introduction 726-727
Radial inverse scattering, inverse potential scattering 726-741
Radial inverse scattering, inverse problem at fixed energy 735-741
Radial inverse scattering, inverse problems at fixed angular momentum 727-734
Radial Schr dinger equation, Coulomb potential 683-684
Radial Schr dinger equation, direct potential scattering 669-685
Radial Schr dinger equation, spherically symmetric potentials 672-683
Radiative corrections 1468-1472
Radio-frequency fields (rf fields) 508
Radio-frequency fields, electromagnetic waves scattering 508-527
Radon transform, ground probing radar 456-459
Raman scattering, conclusions 847
Raman scattering, crystals 832 833-836 837-847
Raman scattering, inelastic light scattering in crystals 838 840
Raman scattering, inelastic opalescence 842-847
Raman scattering, introduction 828-830
Raman scattering, isofrequency dependencies 842-847
Raman scattering, light scattering in glasses 825-826
Raman scattering, light scattering in viscous liquids 825-826
Raman scattering, liquids 833-836
Raman scattering, phase transition point in crystals 837-847
Raman scattering, quasiparticle interaction 832
Raman scattering, Raman effect, theory 830-832
Raman scattering, Raman scattering in crystals 832 833-836 837-847
Raman scattering, Raman scattering in liquids 833-836
Raman scattering, RS spectral intensity 840-842
Raman scattering, spontaneous 837-847
Raman scattering, visible and near-visible light scattering 828-848
Random media scattering 413-415
range filtering 427
Rare-earth magnetism 1144-1147
Rational scattering coefficients, inverse scattering theory 778
Ray theory, elastic surface waves 572-574
Rayleigh - Ritz procedure 332
Rayleigh - Sommerfeld formula 111
Rayleigh approximation method 16
Rayleigh hypothesis 107
Rayleigh particle scattering 417
Rayleigh plane-wave field representation 107
Rayleigh scattering, light scattering in continuous dielectric media 812-813
Rayleigh scattering, light scattering in glasses 820-825
Rayleigh scattering, light scattering in viscous liquids 820-825
Rayleigh scattering, low-frequency scattering 239-240
Rays in stratified media 718
Rays, curved, in continuous medium 718
Razek, A. see D. Lesselier
RCS (radar cross section) 268
Reactive ion-surface scattering 1091-1097
Real soliton equations 1776-1778
Reciprocal inductance matrix 326
Reciprocity relations 78 215-216
Reciprocity relations, obstacles scattering (acoustic) 59-60
Reciprocity relations, obstacles scattering (electromagnetic waves) 197-198
Reciprocity theorem 7
Recoil adiabatic approximation, breakup reactions 1382
Recoil adiabatic approximation, elastic scattering 1381-1382
Recoil adiabatic approximation, few-body models of nuclear reactions 1380-1382
Recoil adiabatic approximation, inelastic scattering 1381-1382
Recoil adiabatic approximation, recoil limit solution 1381
Recoil limit solution 1381
Reduced Maxwell equations 176; see Maxwell equations
Reflection and transmission at curved interfaces, pulsed beam solutions 302-304
Reflection symmetry 422
Refractive index, far field pattern 82 89
Refractive index, optimisation methods 91-92
Refractive index, reconstruction 88-90
Refractive index, reconstruction, media scattering (electro-magnetic) 225-227
Refractive index, sampling methods 90-91
Regge model fit 1557
Regge models, high-energy elastic scattering 1550-1551
Reggeon diagrams 1500
Reggeon field theory (RFT) 1499
Reggeon field theory, -matrix theory 1499-1500
Reggeon field theory, critical Pomeron 1499
Reggeon field theory, effective Lagrangian 1499
Reggeon field theory, Pomeron phase space 1499
Reggeon field theory, supercritical Pomeron 1500
Reggeon unitarity 1498-1499
Regularised Newton methods 68 72
Relativistic kinematics 703-704
Relativistic quantum field theory 1585-1587
Relaxation model 279
Rellich’s lemma 42 182
Representation of the potential, Marchenko method 750
Representation theorem, elastic wave scattering 531-532
Resistive boundary conditions 39 177
Resonance model 279
Resonance reactions theory 1396-1399
Resonant charge transfer 1091-1094
Resonant coherent excitation 1094-1095
Resonant magnetic X-ray diffraction, actinide magnetism 1147-1148
Resonant magnetic X-ray diffraction, conclusions 1153
Resonant magnetic X-ray diffraction, electron polarisation 1144-1149
Resonant magnetic X-ray diffraction, interfacial magnetism 1149-1153
Resonant magnetic X-ray diffraction, introduction 1140-1144
Resonant magnetic X-ray diffraction, magnetic disorder 1151-1153
Resonant magnetic X-ray diffraction, magnetic structures 1144-1149
Resonant magnetic X-ray diffraction, multilayers 1149-1150
Resonant magnetic X-ray diffraction, orientation 1141-1144
Resonant magnetic X-ray diffraction, overview 1140-1141
Resonant magnetic X-ray diffraction, phase transitions 1144-1149
Resonant magnetic X-ray diffraction, rare-earth magnetism 1144-1147
Resonant magnetic X-ray diffraction, surface magnetism 1150-1151
Resonant magnetic X-ray diffraction, transition metal magnetism 1148-1149
Resonant magnetic X-ray diffraction, X-ray scattering 1140-1154
Retarded propagator 9
Rf fields (radio-frequency fields) 508
RFT (Reggeon field theory) 1499
Riccio, Daniele see Giorgio Franceschett
Richmond’s procedure 101
Rician distribution 171 172
Riemann - Hilbert problem with bound states, Marchenko method 745-746
Riemann - Hilbert problem without bound states, Marchenko method 742-745
Riemann - Hilbert problems, inverse scattering theory 773-774
Riemann - Lebesgue lemma 278
Riemann hypothesis 1691-1693
Riesz - Fredholm theory 54 56 57 194
Riesz representation theorem 331
Rigorous consequences of analyticity and unitarity, analyticity properties 1535-1537
Rigorous consequences of analyticity and unitarity, elastic unitarity 1540
Rigorous consequences of analyticity and unitarity, Gribov theorem 1540
Rigorous consequences of analyticity and unitarity, high-energy bounds 1537-1538
Rigorous consequences of analyticity and unitarity, introduction 1534-1535
Rigorous consequences of analyticity and unitarity, Pion - Pion scattering 1541-1546
Rigorous consequences of analyticity and unitarity, Pomeranchuk-like theorems on cross sections 1539
Rigorous consequences of analyticity and unitarity, Pomeranchuk-like theorems on real parts 1539-1540
Rigorous consequences of analyticity and unitarity, saturation of high-energy bounds and scaling 1538-1539
Rigorous consequences of analyticity and unitarity, scattering through strong interactions (Hadronic or QCD scale) 1534-1548
Rigorous consequences of analyticity and unitarity, unitarity constraints 1535
Rikte, Sten see Gerhard Kristensson
Rivoire, G. see R. Barille
RMS (Root Mean Square) 470
Robin-to - Dirichlet map 88
Robin-to - Neumann map, diffusion approximation 924 925
Roessli, B. and P. Boni, Polarised Neutron Scattering 1242-1263
Rollnik class 13
Romanov, Roman see Boris Pavlov
Root angular momentum 690
Root Mean Square (RMS) 470
Root-mean-square method, dispersion- managed solitons 1748-1749
Rotation symmetry 422
Rough surfaces scattering 15-36 376-381
Rough surfaces scattering, acoustic scattering 17-23
Rough surfaces scattering, angular intensity correlations 889-892
Rough surfaces scattering, coherent components 877-878
Rough surfaces scattering, computer simulations 873-874
Rough surfaces scattering, conclusions 892
Rough surfaces scattering, discussion 28-30
Rough surfaces scattering, electromagnetic scattering 23-25
Rough surfaces scattering, enhanced backscattering 883-887
Rough surfaces scattering, enhanced transmission 887-889
Rough surfaces scattering, field moments and correlations 876-877
Rough surfaces scattering, incoherent components 877-878
Rough surfaces scattering, introductions 15-17
Rough surfaces scattering, inverse problems 27-28
Rough surfaces scattering, multiple scattering phenomena 882-892
Rough surfaces scattering, non - Gaussian fields 880-881
Rough surfaces scattering, non - Gaussian surfaces 881-882
Rough surfaces scattering, optical diffusers 875-876
Rough surfaces scattering, other methods 28-30
Rough surfaces scattering, perturbation theory 866-873
Rough surfaces scattering, phase screens 881-882
Rough surfaces scattering, satellite peaks 887-889
Rough surfaces scattering, single-scattering phenomena 876-882
Rough surfaces scattering, solution methods 25-27
Rough surfaces scattering, speckle motion laws 878-880
Rough surfaces scattering, speckle statistics 878-880
Rough surfaces scattering, theory 865-876
Rough surfaces scattering, thick phase screens 875-876
Rough surfaces scattering, thin phase screens 875
Roy, S.M., Rigorous Consequences of Analyticity and Unitarity 1534-1547
Roy’s equations 1543-1545
RS spectral intenstity, Raman scattering 840-842
Rubidium vapour 993-995
Rubidium, quantum degenerate gases 1059
Rubin, P.L., Light Scattering from Glasses and Viscous Liquids 815-827
Rytov approximation, diffusion tomography in dense media 927-928
s wave 673-674
S-wave constraints 1543
Sabatiei; Pierre C., Approximate Methods in Scattering 717-725 (see also Khosrow Chadan)
SAFT (synthetic aperture focussing technique) 115 122 137
Saillard, M. see D. Maystre
Sampling methods, media scattering (electromagnetic) 229
Sampling methods, obstacles scattering (acoustic) 70-72
Sampling methods, obstacles scattering (electromagnetic waves) 206-208
SAR (specific absorption rate) 510
SAR (synthetic aperture radar) 122 137 439 454 455
Satellite peaks 887-889
Satellite-based mobile communications 404-406
Satsuma, J., T. Tokihiro and R. Willox, Scattering in Cellular Automata 1754-1772
Saturation of high-energy bounds and scaling 1538-1539
SBR (shooting and bouncing ray method) 245
SBS (stimulated Brillouin scattering) 958
SC (spectral-coordinate method) 19
SCA (soliton cellular automata) 1754
Scalar radiation condition 318
Scales, John A., Imaging and Inversion with Acoustic and Elastic Waves 578-593
Scaling violations 1576-1577
Scattered field spectrum, light scattering in continuous dielectric media 803-804
Scattered field, Kirchhoff approach 474-476
Scattered field, light scattering in continuous dielectric media 802-805
Scattered field, validity limits 476
Scattered field, Weierstrass - Mandelbrot function 474-476
Scattered power density, fractional Brownian motion model 476-481
Scattering amplitude operating properties, three-dimensional direct scattering t 695-696
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