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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
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Год издания: 2001
Количество страниц: 1831
Добавлена в каталог: 04.07.2008
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Предметный указатель
Gorelik, Vladimir S., Raman Scattering 828-848
GPiR (ground-penetrating imaging radar) 448
GPR (ground probing radar) 448
GPR (ground-penetrating radar) 432 448
Gradshteyn and Ryzhyk relation 477
Graf’s formula 373
Gratings 371 378
Gravitational lensing 1609-1610
Grazing incidence scattering 1090-1091
Green’s dyad 494
Green’s dyadic 451-452
Green’s formula, acoustic scattering 39-41
Green’s free-space function 98
Green’s function 4-9 (see also Diagonal and distorted Green’s function)
Green’s function equations, light scattering in continuous dielectric media 807-808
Green’s function for homogeneous media, acoustic waves, linear 124-125
Green’s function of two operators, light scattering in continuous dielectric media 805-807
Green’s function, diffusion approximation 924-925
Green’s function, free 8 12
Green’s function, free radial 13
Green’s function, gratings 371
Green’s function, layered media 489-497
Green’s function, quantum 13
Green’s function, quantum scattering 9-14
Green’s function, scattering by black holes 1615
Green’s representation 40
Green’s tensor for the Maxwell equations 216 222
Green’s tensor gradient, elastic surface waves 565
Green’s tensor in dyadic form, elastic wave scattering 534-537
Green’s tensor in the far field, elastic surface waves 562-565
Green’s theorems, acoustic scattering 39-41
Green’s theorems, first integral theorem 40
Green’s theorems, second integral theorem 40
GRI (Gas Research Institute) 463
Gribov theorem 1540
Grossmann, J. G nter, Shape Determination of Biomolecules in Solution from Synchrotron X-ray Scat-tering 1123-1139
Ground probing radar (GPR) 448
Ground probing radar, antennas 461-462
Ground probing radar, applications 462-465
Ground probing radar, concept 449-453
Ground probing radar, digital impulse radars 460-461
Ground probing radar, digitisation 462
Ground probing radar, electromagnetic scattering as a generalised radon transform 456-457
Ground probing radar, electromagnetic waves scattering 448-466
Ground probing radar, fluids in porous rock 465
Ground probing radar, geometry of scattering 454-455
Ground probing radar, idealised system 449
Ground probing radar, imaging in a homogeneous wholespace 459-460
Ground probing radar, injected colloidal gel 463-465
Ground probing radar, laboratory floor survey 463
Ground probing radar, location and imaging 453-360
Ground probing radar, mathematical description 449-453
Ground probing radar, model for imaging 455-456
Ground probing radar, overview 448-449
Ground probing radar, practical description 460-462
Ground probing radar, radon transform 456-459
Ground probing radar, SAR imaging by inversion of generalised ground probing radar, radon transform 457-459
Ground probing radar, scattering from pipe as example 453
Ground probing radar, websites 460
Ground-penetrating imaging radar (GPiR) 448
Ground-penetrating radar (GPR) 432 448
GRT (generalised Radon transform) 456-457
GTD (geometrical theory of diffraction) 245
Gylys - Colwell theorem 84
H polarisation 17
H hner, P., Scattering by Media 74-94
H hner, P., Scattering through Media 211-229
H lder continuity 184
H lder space mapping properties 48
H lder spaces 46 184 187
H lder uniformly continuous function 46-47
Haldorsen, Jakob see Michael Oristaglio
Half-space problems, dispersive and complex material 288-289
Hamiltonian system, collisions of ions, atoms and molecules, fast and slow 1026
Hamming window 166
Hankel functions 50 106
Hankel functions, spherical 43
Hansen, V. see R. Meyer
Harrison, Robert G. and Dejin Yu, Stimulated Brillouin Scattering 958-968
Hausdorff - Besicovitch dimension (HB) 469
Hausdorff measure 469
Hawking radiation 1620-1621
Hazard, C. and M. Lenoir, Surface Water Waves 618-636
HB (Hausdorff - Besicovitch dimension) 469
Heat operator, two-dimensional scattering 1725-1727
Heavy atom replacement method 1106-1107
Helmholtz equation 5 38
Helmholtz equation, entire solutions 41
Helmholtz equation, fundamental solution in two dimensions 50 82-83
Helmholtz equation, fundamental solutions 75-76
Helmholtz equation, modified fundamental solutions 76
Helmholtz equation, radiating solutions 41-43
Helmholtz equation, special solutions 82
Helmholtz form, diffusion approximation 926-927
Helmholtz representation 40
Herglotz kernel 49
Herglotz wave fields, electromagnetic waves scattering 187-188
Herglotz wave functions, acoustic scattering 49
Heterodyne spectroscopy, measurement accuracy 794-795
Heyman, Ehud, Pulsed Beam Solutions for Propagation and Scattering problems 295-315
HH (horizontal-to-horizontal polarisiton) 16
Hietarinta, Jarmo, Scattering of Solitons and Dromions 1773-1791
High energies, scattering and production processes, scattering through strong interactions (Hadronic or QCD scale) 1582-1604
High-energy behaviour 707
High-energy bounds 1537-1538
High-energy eikonal limit 1388-1391
High-energy elastic scattering, amplitude bounds 1549-1550
High-energy elastic scattering, amplitude, real part 1558-1559
High-energy elastic scattering, definitions 1549
High-energy elastic scattering, diffraction models 1551-1554
High-energy elastic scattering, diffraction models, geometrical picture 1551-1552
High-energy elastic scattering, diffraction models, impact picture 1552-1553
High-energy elastic scattering, dip-shoulder region 1560-1562
High-energy elastic scattering, elastic scattering 1559-1563
High-energy elastic scattering, forward elastic peak 1559-1560
High-energy elastic scattering, future 1563-1564
High-energy elastic scattering, introduction 1548
High-energy elastic scattering, large momentum transfer region 1562-1563
High-energy elastic scattering, multiple diffraction model 1553-1554
High-energy elastic scattering, quantum chromodynamics models 1554-1555
High-energy elastic scattering, Regge models 1550-1551
High-energy elastic scattering, scattering through strong interactions (Hadronic or QCD scale) 1549-1564
High-energy elastic scattering, total cross section 1555-1558
High-frequency methods, cone tip 268-269
High-frequency methods, corners 266-268
High-frequency methods, diffraction at a smooth convex surface 262-266
High-frequency methods, diffraction, physical theory 273-275
High-frequency methods, discontinuities in nonconducting boundaries 269-271
High-frequency methods, edge diffraction 257-261
High-frequency methods, electromagnetic wave scattering 245-276
High-frequency methods, equivalent current method 271-273
High-frequency methods, geometrical optics method 246-251
High-frequency methods, geometrical theory of diffraction 257-269
High-frequency methods, iterative physical optics method 255-257
High-frequency methods, multibounce physical optics method 254-257
High-frequency methods, physical optics method 251-254
High-frequency methods, physical theory of diffraction 273-275
High-frequency methods, shooting and bouncing ray method 254 255
High-precision electroweak scattering 1519-1531
High-resolution neutron scattering 1264-1286
Hirota - Satsuma equation 1779-1780
Hirota’s method 1788-1790
Hodograph 1672
Hohlwein, Dietmar and Jiri Kulda, Elastic and Inelastic Nuclear Scattering of Neutrons 1155-1173
Holmgren’s theorem 40-41 179-180
Holography 1318-1334
Homogeneous media, pulsed beam solutions 300-302
Homogeneous plane waves in homogeneous media, acoustic waves, linear 124
Horizontal-to-horizontal polarisiton (HH) 16
Hudson, J. A., Scattering of Elastic Body Waves 543-561
Humphreys, Colin J., Theory of Electron Scattering and Electron Diffraction 1287-1303
Hurst coefficient 470
Huygens’ principle, direct potential scattering 719-720
Huygens’ principle, obstacles scattering (acoustic) 57-58
Huygens’ principle, obstacles scattering (electromagnetic waves) 196-197
Hydrodynamics, solitons, applications 1742-1743
Hydrogen, quantum degenerate gases 1057-1058
Hyper - Airy functions 284
Hyperspherical approach, collisions of ions, atoms and molecules, fast and slow 1027-1029
Hyperspherical coordinates 1071-1072
ICBA (intersecting canonical body approximation) 108
IEM (integral equation method) 467
Ill-conditioned solution 335
Ill-posed problem and ill-posedness, continuity of the inverse 929
Ill-posed problem and ill-posedness, definition 45
Ill-posed problem and ill-posedness, diffusion tomography in dense media 928-929
Ill-posed problem and ill-posedness, Helmholtz example 928-929
Image enhancement 156
Imaging and inversion, elastodynamic waves scattering 578-593
Imaging, nondestructive testing with ultrasound 613-615
Immune system 514
Impedance approximation 378
Impedance boundary condition 39 176
Impedance matrix entries, numerical techniques 321-322
Impedance problems 5
Impulse ground probing radar, antennas 461
Impulse response behaviour, dispersive and complex material 282-285
Inclined precession field boundaries 1272-1279
Incoming radiation condition 62 200
Incremental theory of diffraction (ITD) 245
INDEX 1829
Inductance matrix 338
Inelastic magnetic scattering 1186-1192
Inelastic magnetic scattering, crystal-field excitations 1190-1192
Inelastic magnetic scattering, itinerant magnetic systems 1190
Inelastic magnetic scattering, spin wave dispersion 1188-1190
Inelastic magnetic scattering, spin waves 1187
Inelastic magnetic scattering, spin waves scattering 1187-1188
Inelastic neutron scattering with polarised neutrons, antiferromagnetic Cr 1256
Inelastic neutron scattering with polarised neutrons, Fermion superconductor 1257
Inelastic neutron scattering with polarised neutrons, ferromagnets excitations 1255-1256
Inelastic neutron scattering with polarised neutrons, longitudinal neutron polarimetry 1252-1253
Inelastic neutron scattering with polarised neutrons, low-dimensional systems 1257-1259
Inelastic neutron scattering with polarised neutrons, magnetic excitations 1257
Inelastic neutron scattering with polarised neutrons, magnons 1257-1259
Inelastic neutron scattering with polarised neutrons, paramagnetic scattering 1254-1255
Inelastic neutron scattering with polarised neutrons, phasons 1256
Inelastic neutron scattering with polarised neutrons, solitons 1257-1259
Inelastic neutron scattering with polarised neutrons, spin waves 1256
Inelastic neutron scattering with polarised neutrons, XYZ method 1253-1254
Inelastic opalescence, Raman scattering 842-847
Inelastic scattering in crystalline solids 1164-1172
Inelastic scattering in crystalline solids, applications 1169-1172
Inelastic scattering in crystalline solids, experimental techniques 1167-1169
Inelastic scattering in crystalline solids, lattice dynamics 1164-1165
Inelastic scattering in crystalline solids, phonons scattering 1165-1167
Inelastic scattering spin echo, introduction 1270
Inelastic scattering spin echo, Larmor prescession 1270
Inelastic scattering spin echo, quantum mechanical treatment 1271-1272
Inelastic scattering spin echo, ray tracing 1270-1271
Inelastic scattering, few-body models of nuclear reactions 1379
Inelastic scattering, recoil adiabatic approximation 1381-1382
Inelastic spectroscopy 1210
Infrared properties of quantum electrodynamics 1459-1460
Inhomogeneous bodies in open regions, numerical techniques 353-355
Inhomogeneous bodies, numerical techniques 351-353
Inhomogeneous cylinders, numerical techniques 323-330
Inhomogeneous media, pulsed beam solutions 300-302
Insonified object 98
Integrable wave equations, nonlinear ocean waves 642-647
Integral equation method 7
Integral equation method (IEM) 467
Integral equation method, obstacles scattering (acoustic) 54-56
Integral equations for electromagnetic scattering, singularity expansion method 432-433
Integral representations, nonlinear scalar inverse scattering 142-144
Interatomic bond lengths 1314-131
Interfacial magnetism 1149-1153
Interior transmission problem 79
Internal resonance 54
Interpolatory polynomial bases, numerical techniques 331
Intersecting canonical body 107
Intersecting canonical body approximation (ICBA) 108
Intervening host 97
Invariance principle 708
Invariant embedding 721-723
Inverse acoustic media scattering problems, reconstruction of the refractive index 88-90
Inverse acoustic media scattering problems, stability 84-87
Inverse acoustic media scattering problems, uniqueness 81-82
Inverse acoustic media scattering problems, uniqueness in two dimensions 82-84
Inverse acoustic obstacle scattering problems, approximation method 69-70
Inverse acoustic obstacle scattering problems, approximations 70-72
Inverse acoustic obstacle scattering problems, boundary-to-far-field map 66-68
Inverse acoustic obstacle scattering problems, iterative methods 68-69
Inverse acoustic obstacle scattering problems, uniqueness 64-66
Inverse electromagnetic obstacle scattering problems 202-204
Inverse kinematic problem 1672-1674
Inverse potential scattering, inverse scattering theory 770-785
Inverse potential scattering, Marchenko method 742-753
Inverse potential scattering, radial inverse scattering 726-741
Inverse potential scattering, three-dimensional inverse scattering, Marchenko method 742-753
Inverse potential scattering, three-dimensional inverse scattering, theory 754-769
Inverse problem at fixed energy, radial inverse scattering 735-741
Inverse problems at fixed angular momentum, radial inverse scattering 727-734
Inverse problems at fixed energy, basic matrix method 737-739
Inverse problems at fixed energy, classes of potentials 737-739
Inverse problems at fixed energy, generalisations 740
Inverse problems at fixed energy, nonuniqueness problems 736
Inverse problems at fixed energy, transformation formulae 735-736
Inverse problems at fixed energy, transmutation operators 735-736
Inverse scattering by a medium 761-764
Inverse scattering by obstacles 764-767
Inverse scattering for elastic waves 768
Inverse scattering for electromagnetic waves 768
Inverse scattering problem and applications to NLPDE, inverse scattering problem method 1701-1705
Inverse scattering problem and applications to NLPDE, inverse scattering transform and nonlinear partial differential equations 1695-1706
Inverse scattering problem and applications to NLPDE, scattering problem for the one-dimensional Schr dinger operator 1695-1700
Inverse scattering problem method (ISPM) 1695 1701-1705
Inverse scattering problem, fixed energy, scattering by a metric 1674-1676
Inverse scattering problem, solving methods, inverse scattering theory 773-778
Inverse scattering problem, stability, media scattering (electromagnetic) 222-225
Inverse scattering problem, uniqueness, media scattering (electromagnetic) 221-222
Inverse scattering theory, characterisation 778
Inverse scattering theory, D-bar method 777
Inverse scattering theory, direct scattering theory 754-758
Inverse scattering theory, exterior point sources 758
Inverse scattering theory, Faddeev - Marchenko method 774
Inverse scattering theory, from to near field 758-761
Inverse scattering theory, Gel’fand - Levitan method 774-775
Inverse scattering theory, inverse potential scattering 770-785
Inverse scattering theory, inverse scattering by a medium 761-764
Inverse scattering theory, inverse scattering by obstacles 764-767
Inverse scattering theory, inverse scattering for elastic waves 768
Inverse scattering theory, inverse scattering for electromagnetic waves 768
Inverse scattering theory, inverse scattering problem, solving methods 773-778
Inverse scattering theory, Newton - Marchenko method 776
Inverse scattering theory, nonhomogeneous media 781
Inverse scattering theory, nonhomogeneous media with jump discontinuities 782-783
Inverse scattering theory, phase recovery 780-781
Inverse scattering theory, potentials from changing signs of reflection coefficients 779
Inverse scattering theory, potentials vanishing on a half-line 778
Inverse scattering theory, potentials with Dirac delta distributions 778-779
Inverse scattering theory, rational scattering coefficients 778
Inverse scattering theory, Riemann - Hilbert problems 773-774
Inverse scattering theory, Schr dinger equation 770-773
Inverse scattering theory, singular integral equations 775
Inverse scattering theory, special cases 778-779
Inverse scattering theory, steplike potentials 779-780
Inverse scattering theory, trace method 775
Inverse scattering theory, Wiener - Hopf factorisation 776-777
Inverse scattering transform 637-666
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