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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
Inverse scattering transform and nonlinear partial differential equations, applications of solitons 1741-1753
Inverse scattering transform and nonlinear partial differential equations, characterisation of scattering data 1729-1740
Inverse scattering transform and nonlinear partial differential equations, Faddeev functions 1729-1740
Inverse scattering transform and nonlinear partial differential equations, inverse scattering problem and applications to NLPDE 1695-1706
Inverse scattering transform and nonlinear partial differential equations, scattering for the Schr dinger equation in multidimensions 1729-1740
Inverse scattering transform and nonlinear partial differential equations, two-dimensional scattering 1718-1728
Inverse scattering transform and nonlinear partial differential equations, Zakharov - Shabat inverse scattering 1707-1717
Inverse scattering, applications to nonlinear partial differential equations 1695-1706
Inverse scattering, eddy-current scattering 501-505
Inverse scattering, scattering by a metric 1669-1671
Inverse scattering, Schr dinger equation 1729-1732
Inverse scattering, Zakharov - Shabat inverse scattering 1713-1715
Iodice, Antonio see Giorgio Franceschett
Ion-atom collisions, relativistic 1034
Ion-cluster collisions, beyond the Jellium approximation 1042
Ion-cluster collisions, collisions of ions, atoms and molecules, ion-cluster collisions, fast and slow 1040-1042
Ion-cluster collisions, Jellium models 1040-1042
Ion-molecule collisions, collisions of ions, atoms and molecules, fast and slow 1037-1040
Ion-molecule collisions, quantum mechanical approach 1038-1039
Ion-molecule collisions, semiclassical approach 1039-1040
IPO (iterative physical optics method) 245
Ipswich data sets 1997 155-156
Irradiated object 98
Irreducible spin tensors 1424
Irregular wave number 54
Isakov, Victor, Three - Dimensional Inverse Scattering Theory and its relations with other problems 754-769
Isofrequency dependencies, Raman scattering 842-847
Isospin violation 1406-1409
Isotropic homogeneous media, dispersive and complex material 280-282
Isotropic perturbation, scattering coefficient, elastic surface waves 567-570
ISPM (inverse scattering problem method) 1695
ITD (incremental theory of diffraction) 245
Iterative Born method, nonlinear scalar inverse scattering 147-148
Iterative physical optics method (IPO) 245
Iterative physical optics method, high- frequency methods 255-257
Jacobi - Anger expansion 49 51 58 475
JDOS (joint density of states) 1315
Jellium models, atomic scattering at surfaces 1082-1083
Jellium models, ion-cluster collisions 1040-1042
Jensen, Bruce see Nils Andersson
Johnson, R.C. see J. Gomez - Camacho
Joint density of states (JDOS) 1315
Jost function 676-677
Jost solution 675
Jost solution, Schr dinger equation 771
Julienne, Paul S., Ultra - Cold Collisions of Atoms and Molecules 1043-1067
K distribution 171 172
KA (Kirchhoff approach) 467
Kadomtsev - Petviashvili - II equation (KP II) 1727
Kadomtsev - Petviashvili - II equation two-dimensional scattering 1727
Kadomtsev - Petviashvili equation, scattering of multipurpose lumps 1792-1806
Karisson, Anders see Gerhard Kristensson
Karp’s theorem 66 204
Kaup - Kuperschmidt equation 1777-1778
Kaup - Kuperschmidt equation (KK) 1777
Kawasaki formula, light scattering in continuous dielectric media 811
KdV (Korteweg-deVries equation) 1773
Keller cone 258
Keller, Thomas, Robert Golub and Roland G hler, Neutron Spin Echo - A Technique for High - Resolution Neutron Scattering 1264-1286
Keller’s dyadic edge diffraction coefficient 258-259
Kerr black hole, Ergosphere 1623
Kerr black hole, null geodesics 1622-1623
Kerr black hole, quasinormal modes 1624-1625
Kerr black hole, scattering by black holes 1621-1626
Kerr black hole, superradiant scattering 1625-1626
Kerr black hole, Teukolsky’s equation 1624
Kerr black hole, waves scattering 1626
Kinematical diffraction by finite perfect crystals 1294-1296
Kinematical diffraction by thin crystals 1296-1297
Kinematical theory breakdown 1299
Kinematics of deep inelastic scatterers 1565-1569
Kinematics of inelastic scattering 1307-1313
Kirchhoff approach (KA) 467
Kirchhoff approximation 58 196
Kivshai; Yuri S. see Barry Luther - Davies
KK (Kaup - Kuperschmidt equation) 1777
Klaus, Martin see Tuncay Aktosun
Klein - Gordon equation 1445
Knecht, M. and M. Perrottet, Application to Scattering of Photons and Electrons 1462-1482
Knecht, M. and M. Perrottet, QED as an Introduction to Perturbative Methods 1435-1461
Kondo effect 1250-1251
Korteweg-de Vries equation (KdV) 1773
Korteweg-de Vries equation and similar equations 1773-1776
KP equations 1784
KP II (Kadomtsev - Petviashvili - II equation) 1727
KPI solutions 1798-1804
Kramers - Kronig analysis, electron energy loss spectrometry 1312-1313
Kramers - Kronig analysis, optical properties of X-rays 1109-1110
Kramers - Kronig relation 166
Krein formula 1682-1686
Kress, R., Scattering by Obstacles (1.2.2) 52-73
Kress, R., Scattering by Obstacles (1.4.2) 191-210
Kress, R., Specific Theoretical Tools (1.2.1) 37 51
Kress, R., Specific Theoretical Tools (1.4.1) 175-190
Kristensson, Gerhard, Anders Karisson and Sten Rikte, Electromagnetic Wave Propagation in Dispersive and Complex Material with Time - Domain techniques 277-294
Kroes, Geert-Jan see David C. Clary
Krolikowski, Wieslaw see Barry Luther-Da
Kubo formula, light scattering in continuous dielectric media 810
Kulda, Jiri see Dietmar Hohlwein
L-plot 156
Ladder rerms 421
Lagrangian formulation, free Dirac field 1446
Lagrangian formulation, quantum electrodynamics 1437-1438
Landau diagrams 1490-1491
Landau equations 1491-1492
Landweber iteration 69 72
Langenberg, Karl J., Linear Scalar Inverse Scattering 121 141
Langenberg, Karl J., R. Marklein and K. Mayer, Applications to Nondestructive Testing with Ultrasound 594-617
Langridge Luther - Davies, Barry, Wieslaw Krolikowski and Yuri S. Kivshar, Scattering and Interaction of Spatial Optical Solitons 987-1001
Langridge, Sean and Stephen W. Lovesey, Resonant Magnetic X-ray Diffraction 1140-1154
Laplace - Beltrami operator 42 43
Laplace operator 1690-1691
Large momentum transfer region 1562-1563
Larmor precession 1265-1266 1270
Laser light scattering, particle sizing, visible and near-visible light scattering 859-919
Lattice, Schr dinger equation 1646
Laue case, X-ray diffraction 1119
Laue condition, electron diffraction and scattering - theory 1293-1294
Laundy, David, Dynamical Diffraction of X-rays 1112-1122
Lax - Phillips semigroup 1691-1693
Layer stripping 721-723
Least-squares algorithm 368
Least-squares minimisation process 368-369
Legendre functions, associated 43
Lehmann, Symanzik and Zimmermann reduction formula (LSZ) 1450-1451
Lenoir, M. see C. Hazard
Leontovich boundary condition 176 232
Lepton anomaly 1475-1481
Lepton pairs 1463-1466 1475-1481
Lesselier, D. and A. Razek, Eddy - Current Scattering: Green’s Integral and Variational Formulations 486-507
Levinson theorem 678-679
LGA (low-grazing angle) 16
Lidar measurements 949-953
Lidar sensing, airborne lidar measurements 951-952
Lidar sensing, cloud measurements 952-953
Lidar sensing, ground-based measurements 950-951
Lidar sensing, lidar remote sensing 949-950
Lidar sensing, rocket lidar measurements 951-952
Lidar sensing, space-borne Doppler wind lidar 953-955
Lidskii’s theorem 80 217
Light scattering from dense polymer systems, diblock copolymers 851-854
Light scattering from dense polymer systems, dynamic structure factor 851-857
Light scattering from dense polymer systems, experimental techniques 850-851
Light scattering from dense polymer systems, Fabry - Perot interferometry 851
Light scattering from dense polymer systems, fast dynamics 859-860
Light scattering from dense polymer systems, introduction 849
Light scattering from dense polymer systems, outlook 860
Light scattering from dense polymer systems, photon correlation spectroscopy 850-851
Light scattering from dense polymer systems, physical principles 849-850
Light scattering from dense polymer systems, shape-persistent macromolecules 857-859
Light scattering from dense polymer systems, soft colloids 854-857
Light scattering from dense polymer systems, time-domain analysis 850-851
Light scattering from dense polymer systems, visible and near-visible light scattering 849-863
Light scattering from gases, quasi-elastic light scattering phenomena 790
Light scattering from glasses, glasses structure and properties 815-820
Light scattering from glasses, visible and near-visible light scattering 815-827
Light scattering from liquids, quasi-elastic light scattering phenomena 788-789
Light scattering from solids, quasi-elastic light scattering phenomena 789-790
Light scattering from viscous liquids, visible and near-visible light scattering 815 827
Light scattering in continuous dielectric media, Brillouin scattering 811-812
Light scattering in continuous dielectric media, conclusions 813-814
Light scattering in continuous dielectric media, correlation function 804-805
Light scattering in continuous dielectric media, diagonal Green’s function 809-810
Light scattering in continuous dielectric media, Green’s function equations 807-808
Light scattering in continuous dielectric media, Green’s function of two operators 805-807
Light scattering in continuous dielectric media, hydrodynamic modes 810
Light scattering in continuous dielectric media, introduction 801-802
Light scattering in continuous dielectric media, Kawasaki formula 811
Light scattering in continuous dielectric media, Kubo formula 810
Light scattering in continuous dielectric media, mode coupling 809-811
Light scattering in continuous dielectric media, Rayleigh scattering 812-813
Light scattering in continuous dielectric media, scattered field 802-805
Light scattering in continuous dielectric media, scattered field spectrum 803-804
Light scattering in continuous dielectric media, self-eneigy in transport theory 808-809
Light scattering in continuous dielectric media, self-energy mode 810-811
Light scattering in continuous dielectric media, thermodynamic fluctuations 805-807
Light scattering in continuous dielectric media, visible and near-visible light scattering 801-814
Light scattering in glasses, Raman scattering 825-826
Light scattering in glasses, Rayleigh scattering 820-825
Light scattering in glasses, scattering geometry 820
Light scattering in viscous liquids, Raman scattering 825-826
Light scattering in viscous liquids, Rayleigh scattering 820-825
Light scattering in viscous liquids, scattering geometry 820
Light scattering spectroscopy, instrumental considerations 790-792
Light scattering spectroscopy, instrumentation 795-799
Light scattering spectroscopy, introduction 786-788
Light scattering spectroscopy, measurement accuracy 792-795
Light scattering spectroscopy, photon statistics 792-795
Light scattering spectroscopy, quasi-elastic light scattering phenomena 788-790
Light scattering spectroscopy, visible and near-visible light scattering 786-800
Light-by-light scattering 1468
Lin, C.D. and F. Martin, Fast and Slow Collisions of Ions, Atoms and Molecules 1025-1042
Line solitons in two-dimensions 1783
Linear materials modelling, dispersive and complex material 278-280
Linear operator equations, numerical techniques 332-334
Linear scalar inverse scattering 121-141
Linear scalar inverse scattering, acoustic waves 122-128
Linear scalar inverse scattering, angular diversity 134-136
Linear scalar inverse scattering, conclusion 139
Linear scalar inverse scattering, crucial concept 124
Linear scalar inverse scattering, far field Fourier inversion 128-133
Linear scalar inverse scattering, far field time-domain backprojection 133
Linear scalar inverse scattering, Fourier diffraction slice theorem 137-138
Linear scalar inverse scattering, frequency 128
Linear scalar inverse scattering, frequency-domain backpropagation 133-137
Linear scalar inverse scattering, introduction 121-122
Linear scalar inverse scattering, monostatic frequency diversity 136-137
Linear scalar inverse scattering, near field Fourier inversion 137-139
Linear scalar inverse scattering, time-domain backpropagation 137
Linear scalar inverse scattering, widespread applications 139
Lippmann - Schwinger equation 8-9 77
Lippmann - Schwinger equation, elastic wave scattering 532-533
Lippmann - Schwinger equation, three-dimensional direct scattering theory 687-688
Lippmann - Schwinger equation, three-nucleon scattering 1343-1344
Lithium, quantum degenerate gases 1058
Lobachevsky - Poincar plane 1690-1691
Local energy decay, surface water waves 635
Localised nonlinear approximation 493
Long-range potentials, asymptotic observables 708-709
Long-range scattering, mathematical theories 1648-1652
Lorentz model, optical properties of X-rays 1108
Lorentz reciprocity theorem 487
Lorentz-type materials 277
Lossless scatterer 237 242
Lossy penetrable scatterer 234
Lossy scatterer 237 242-243
Lovesey, Stephen W. see Sean
Low-frequency scattering, electromagnetic introduction 230-231
Low-frequency scattering, electromagnetic wave scattering 230-244
Low-frequency scattering, ellipsoidal geometry 241-243
Low-frequency scattering, expansions in powers of wave number 234-235
Low-frequency scattering, general problems 231-234
Low-frequency scattering, perfect conductor 232 235-237 241-242
Low-frequency scattering, Rayleigh scattering 239-240
Low-frequency scattering, transmission problem 237-239
Low-grazing angle (LGA) 16
Lower complex plane, surface water waves 624-625
LSZ (Lehmann, Symanzik and Zimmermann reduction formula) 1450-1451
LSZ reduction 1450-1451
Lyapunov boundaries 56
M ndez, E.R. see A.A. Maradudin
Macrocausality 1492
Magnetic disorder 1151-1153
Magnetic far field pattern 181
Magnetic field integral equation (MFIE) 24 256 323 334
Magnetic neutron scattering 1174-1178
Magnetic neutron scattering, cross section definitions 1175
Magnetic neutron scattering, crystalline magnetic materials 1177
Magnetic neutron scattering, master equation 1175-1176
Magnetic neutron scattering, unpaired electrons 1176-1177
Magnetic scattering amplitude 236
Magnetic scattering of neutrons, elastic and inelastic 1174-1197
Magnetic scattering of neutrons, elastic and inelastic, antiferromagnetic phases 1181-1184
Magnetic scattering of neutrons, elastic and inelastic, critical scattering 1193-1196
Magnetic scattering of neutrons, elastic and inelastic, elastic magnetic scattering from crystals 1177-1178
Magnetic scattering of neutrons, elastic and inelastic, ferromagnetic phases 1181-1184
Magnetic scattering of neutrons, elastic and inelastic, inelastic magnetic scattering 1186-1192
Magnetic scattering of neutrons, elastic and inelastic, magnetic neutron scattering 1174-1178
Magnetic scattering of neutrons, elastic and inelastic, magnetic phases 1181-1186
Magnetic scattering of neutrons, elastic and inelastic, magnetic structure 1178-1181
Magnetic scattering of neutrons, elastic and inelastic, modulated magnetic phases 1184-1186
Magnetic scattering of neutrons, elastic and inelastic, multiple-k magnetic phases 1184
Magnetic scattering of neutrons, elastic and inelastic, paramagnetic scattering 1192
Magnetic scattering of neutrons, elastic and inelastic, polycrystalline samples 1180-1181
Magnetic scattering of neutrons, elastic and inelastic, single crystal 1181
Magnetic scattering of neutrons, elastic and inelastic, single magnetic phases 1184
Magnetic singularity identification 446
Magnetic-singularity identification (MSI) 432 437
Magnetism, resonant magnetic X-ray diffraction 1144-1153
Manakov’s model 1781-1783
Maradudin, A.A. and E.R. Mendez, Scattering by Surfaces and Phase Screens 864-894
Marchenko equation, radial inverse scattering problems 731-732
Marchenko method, inverse potential scattering 742-753
Marchenko method, representation of the potential 750
Marchenko method, Riemann - Hilbert problem with bound states 745-746
Marchenko method, Riemann - Hilbert problem without bound states 742-745
Marchenko method, stability of the inversion procedure 749-750
Marchenko method, three-dimensional inverse scattering 742-753
Marchenko method, variational principle 746-747
Marchenko method, x dependence 747-749
Marchenko, V., The Inverse Scattering Problem and its Application to NLPDE 1695 1706
Marginally fractal surface 477
Marklein, R. see K.J. Langenberg
Martin, F. see C.D. Lin
Mathematical foundations, classification of the spectrum 1633
Mathematical foundations, mathematical theories 1633-1639
Mathematical foundations, smooth method 1637-1638
Mathematical foundations, trace-class method 1635-1637
Mathematical foundations, wave operators 1633-1635
Mathematical objects scattering, scattering in cellular automata 1754-1772
Mathematical objects scattering, scattering of dromions 1773-1791
Mathematical objects scattering, scattering of multipole lumps for the Kadomtsev - Petviashvili equation 1792-1804
Mathematical objects scattering, scattering of solitons 1773-1791
Mathematical theories, -matrix and Dirichlet-to - Neumann op-erators 1678-1688
Mathematical theories, Dirichlet-to - Neumann and -matrix operators 1678-1688
Mathematical theories, long-range scattering 1648-1652
Mathematical theories, mathematical foundations 1633-1639
Mathematical theories, number theory 1689-1694
Mathematical theories, scattering and number theory 1689-1694
Mathematical theories, scattering and semi-group theory 1653-1667
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