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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
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, $S$-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 $S$-matrix      1501-1502
Quantum chromodynamics models      1554-1555
Quantum chromodynamics, $S$-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, $S$-matrix elements in field theory      1449-1450
Quantum electrodynamics, $S$-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$\ddot{o}$dinger equation, Coulomb potential      683-684
Radial Schr$\ddot{o}$dinger equation, direct potential scattering      669-685
Radial Schr$\ddot{o}$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, $S$-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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