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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
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$\ddot{o}$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$\ddot{o}$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$\ddot{o}$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$\ddot{a}$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$\ddot{o}$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$\acute{e}$ 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$\acute{e}$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, $S$-matrix and Dirichlet-to - Neumann op-erators      1678-1688
Mathematical theories, Dirichlet-to - Neumann and $S$-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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