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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
Numerical techniques, inhomogeneous bodies 351-353
Numerical techniques, inhomogeneous bodies in open regions 353-355
Numerical techniques, inhomogeneous cylinders 323-330 341-344
Numerical techniques, interpolatory polynomial bases 331
Numerical techniques, linear operator equations 332-334
Numerical techniques, matrix assembly rule 327
Numerical techniques, matrix solution time 361
Numerical techniques, mesh truncation 363
Numerical techniques, method of moments 320-323
Numerical techniques, method of moments for solving linear operator equations 332
Numerical techniques, moment methods 330-334
Numerical techniques, PMCHW formulation 349-351
Numerical techniques, point and surface loading 358-359
Numerical techniques, tetrahedron approach 351-353
Numerical techniques, time domain methods 362-363
Numerical techniques, voltage excitation vector 322-323
Numerical techniques, wires 357-358
Nystr m’s method 59 70
Obstacle scattering (acoustic), approximation of the scattered field 69-70
Obstacle scattering (acoustic), boundary-to-far-field map 66-68
Obstacle scattering (acoustic), direct scattering problem 53-54
Obstacle scattering (acoustic), Dirichlet-to - Neumann map 56-57
Obstacle scattering (acoustic), far field operator 60-64
Obstacle scattering (acoustic), far field pattern 59-60
Obstacle scattering (acoustic), Huygen’s principle 57-58
Obstacle scattering (acoustic), integral equation methods 54-56
Obstacle scattering (acoustic), introduction 52-53
Obstacle scattering (acoustic), inverse problem, uniqueness 64-66
Obstacle scattering (acoustic), iterative methods for the inverse problem 68-69
Obstacle scattering (acoustic), null-field method 56
Obstacle scattering (acoustic), numerical solutions of integral equations 58-59
Obstacle scattering (acoustic), plane waves 60
Obstacle scattering (acoustic), point sources 60
Obstacle scattering (acoustic), reciprocity relations 59-60
Obstacle scattering (acoustic), sampling methods 70-72
Obstacle scattering (electromagnetic), boundary component map 196
Obstacle scattering (electromagnetic), boundary-to-far-field map 204-205
Obstacle scattering (electromagnetic), direct scattering problem 192
Obstacle scattering (electromagnetic), far field operator 198-202
Obstacle scattering (electromagnetic), Huygens’ principle 196-197
Obstacle scattering (electromagnetic), integral equation methods 192-195
Obstacle scattering (electromagnetic), introduction 191-192
Obstacle scattering (electromagnetic), inverse electromagnetic obstacle scattering problems 202-204
Obstacle scattering (electromagnetic), inverse problem, scattered field approximation 205-206
Obstacle scattering (electromagnetic), Maxwell equations 192
Obstacle scattering (electromagnetic), null-field method 195-196
Obstacle scattering (electromagnetic), orthotropic media 208-209
Obstacle scattering (electromagnetic), reciprocity relations 197-198
Obstacle scattering (electromagnetic), sampling methods 206-208
Obstacle scattering (electromagnetic), scattered field approximation 205-206
Obstacle scattering (electromagnetic), scattering from a sphere 197
Obstacle scattering, acoustic scattering 52-73
Obstacle scattering, electromagnetic waves scattering 191 210
Oceanographic measurements, nonlinear ocean waves 662-664
Oceans scattering, inverse scattering transform 637-666
Oceans scattering, nonlinear ocean waves 637-666
Oceans scattering, surface water waves 618-636
ODC (ornithine decarboxylase) 515
ODE (ordinary differential equations) 4
Off-shell T matrix 12
One-dimensional analyses, direct potential scattering 720-721
One-dimensional Schr dinger operator 1695-1700
One-step Born approximation, direct reaction theories 1363-1364
Optical diffusers, rough surfaces scattering 875-876
Optical fibres, stimulated Brillouin scattering 964-965
Optical properties of X-rays 1107-1110
Optical properties of X-rays, Kramers - Kronig analysis 1109-1110
Optical properties of X-rays, Lorentz model 1108
Optical properties of X-rays, optical constants 1107-1110
Optical properties of X-rays, scattering factors 1108-1109
Optical soliton 1744-1745
Optical theorem 62 200
Optimisation methods, media scattering (electromagnetic) 228
Ordered crystal 1157-1158
Ordinary differential equations (ODE) 4
Oristaglio, Michael, Douglas E. Miller and Jakob Haldorsen, Ground Probing Radar 448-466
Ornithine decarboxylase (ODC) 515
Orthotropic media, electromagnetic waves scattering 188 189
Orthotropic media, media scattering (electromagnetic) 227-228
Orthotropic media, obstacles scattering (electromagnetic waves) 208-209
Osborne, A.R., Nonlinear Ocean Waves and the Inverse Scattering Transform 637-666
Outgoing radiation condition 62 200
Outward energy flux 176
Overcritical field 715
Overrelaxation methods 144 145 147
P - SV waves (pressure, shear-vertical waves) 122
Paints, scattering properties 381
Pair creation by time-dependent fields 714-715
Paramagnetic and critical scattering, magnetic correlations 1195-1196
Paramagnetic and critical scattering, magnetic critical scattering 1193-1195
Paramagnetic and critical scattering, static critical exponents 1193
Paramagnetic and critical scattering, universal critical phenomenon 1193
Paramagnetic scattering 1192 1254-1255
Parameterisation of the real signal 298
Paraxial parameterisation for collimated pulsed beams 298
Parity conservation implications 1418-1419
Parity violation 1409-1410
Partial differential equations (PDE) 4
Partial-wave expansions 1364-1365 1497-1498
Particle sizing by laser light scattering, conclusions 916
Particle sizing by laser light scattering, diffusing-wave spectroscopy 909-910
Particle sizing by laser light scattering, extinction method 910-912
Particle sizing by laser light scattering, finite molecular size 914-915
Particle sizing by laser light scattering, Fraunhofer scattering 907-909
Particle sizing by laser light scattering, introduction 895
Particle sizing by laser light scattering, molecular optical anisotropy 915-916
Particle sizing by laser light scattering, photon correlation spectroscopy 895-907
Particle sizing by laser light scattering, polydisperse molecular weights 914
Particle sizing by laser light scattering, visible and near-visible light scattering 895-919
Particle sizing by laser light scattering, Zimm plot 912-916
Parton distributions 1569-1576
Past and future of -matrix theory, state of the art of pertubative methods 1483-1504
Patch-currents 369
Path-average theory 1747-1748
Pathak, Prabhakar H. and Robert J. Burkholder, High - Frequency Methods 245-276
Pauli matrix coefficients 415
Pavlov, Boris and Roman Romanov, Scattering and Number Theory 1689-1694
Pavlov, Boris, S - Matrix and Dirichlet-to - Neumann Operators 1678-1688
Pavlov, Boris, Scattering and Semigroup theory 1653-1667
PB (pulsed beams) 295
PCS (photon correlation spectroscopy) 850-851
PDE (partial differential equations) 4
PEC (perfect electric conductor) 246
PEC (perfect electric ground plane) 359-360
Pekeris function 263
Penetrable scatterers 126 127 129-131 134-136
Penning ionisation (PI) 1035
Percus - Yevick theory for liquids 172
Perfect conductor, low-frequency scattering 232 235-237 241-242
Perfect electric conductor (PEC) 246
Perfect electric ground plane (PEC) 359-360
Perfect magnetic conductor (PMC) 246
Perfect magnetic ground plane (PMC) 359-360
Periodic inverse scattering, nonlinear ocean waves 642-647
Perrottet, M. see M. Knecht
Pertubative methods 8
Pertubative methods, application to scattering of photons and electrons 1462-1482
Pertubative methods, past and future of S-matrix theory 1483-1504
Pertubative methods, quantum electrodynamics 1435-1461
Perturbation analysis, acoustical imaging 105-108
Perturbation analysis, diffusion tomography in dense media 927-928
Perturbation of natural frequencies, singularity expansion method 436-437
Perturbation theory renormalised, infrared properties of quantum electrodynamics 1459-1460
Perturbation theory renormalised, naive power counting 1455-1456
Perturbation theory renormalised, one-loop divergences 1456-1459
Perturbation theory renormalised, perturbation series summation 1460
Perturbation theory renormalised, quantum electrodynamics 1455-1460
Perturbation theory renormalised, regularisation 1456
Perturbation theory, Feynman rules and diagrams 1452-1455
Perturbation theory, Gell - Mann - Low formula 1451-1452
Perturbation theory, quantum electrodynamics 1451-1455
Perturbation theory, rough surfaces scattering 866-873
Perturbation theory, spin-dependent forces 1423
Perturbative quantum field theory 11
Perturbed Maxwell equations 222
Phase conjugation 114
Phase recovery, inverse scattering theory 780-781
Phase screens, rough surfaces scattering 881-882
Phase transition point in crystals 837 847
Phase-shifts 1613-1614
Phasons 1256
Phenomenology 1595-1601
Phenomenology, scattering and production processes at high energies 1595 1601
Phonon focussing 1272-1273
Phonons scattering 1165-1167
Photon correlation function 898-899
Photon correlation spectroscopy (PCS) 850-851
Photon correlation spectroscopy, dual method of mathematical programming 905-907
Photon correlation spectroscopy, eigenfunction analysis 900
Photon correlation spectroscopy, experimental technique 898-899
Photon correlation spectroscopy, higher-order moments 899-900
Photon correlation spectroscopy, introduction 895-897
Photon correlation spectroscopy, light scattering from dense polymer systems 850-851
Photon correlation spectroscopy, mathematical programming, primal photon correlation spectroscopy, method 904-905
Photon correlation spectroscopy, mean diameter 899-900
Photon correlation spectroscopy, particle sizing by laser light scattering 895-907
Photon correlation spectroscopy, photon correlation function 898-899
Photon correlation spectroscopy, physical principles 897-898
Photon correlation spectroscopy, polydispersity 899-900
Photon correlation spectroscopy, primal method of mathematical programming 904-905
Photon correlation spectroscopy, singular system analysis 901-903
Photon correlation spectroscopy, square-root problem 903-904
Photon focussing 1274-1276
Photon measurement density function (PMDF) 930-931
Photon statistics, light scattering spectroscopy 792-795
Photon trajectories 1608-1609
Photon transport, diffusion tomography in dense media 922-923
Photonic crystals 375-376
Photons, application to scattering 1462 1482
Photons, free 1439-1440 1442-1443
Photons, physical states 1440-1441
Photorefractive media 995-999
Physical optics (PO) 245
Physical optics approximation 58 196
Physical optics far field inverse scattering (POFFIS) 132
Physical optics method, high-frequency methods 251-254
Physical theory of diffraction (PTD) 245
Physical theory of diffraction, high- frequency methods 273-275
PI (Penning ionisation) 1035
Pike, Roy, Particle Sizing by Laser Light Scattering 895-919
Pike, Roy, The Theory of Light Scattering in Continuous Dielectric Media 801-814
Pion - Pion partial wave amplitudes 1541 1543-1545
Pion - Pion scattering, -wave constraints 1543
Pion - Pion scattering, Froissart - Gribov formula 1541-1542
Pion - Pion scattering, Pion - Pion partial wave amplitudes 1541 1543-1545
Pion - Pion scattering, rigorous consequences of analyticity and unitarity 1541 1546
Pion - Pion scattering, Roy’s equations 1543-1545
Pion - Pion scattering, threshold behaviour 1541-1542
Pion - Pion scattering, total amplitude below the threshold 1542
Planck scale to the cosmic scale, scattering by black holes 1607-1626
Plane wave 39 176
Plane wave, diffracted by a half-plane, elastic body waves scattering 547-550
Plane wave, obstacles scattering (acoustic) 60
Plane wave, spherical cavity, elastic body waves scattering 544-547
Plasma physics, solitons, applications 1742-1743
PMC (perfect magnetic conductor) 246
PMC (perfect magnetic ground plane) 359-360
PMCHW formulation, numerical techniques 349-351
PMDF (photon measurement density function) 930-931
PO (physical optics) 245
POFFIS (physical optics far field inverse scattering) 132
Point matching method 368
Point sources, mixed reciprocity relation 79
Point sources, obstacles scattering (acoustic) 60
Point sources, symmetry relation 79
Points rule 328
Polak - Ribi re conjugate direction 150 156-157
Polar liquids 279
Polarimetric radar inferometry, scattering polarimetry 426-427
Polarimetry scattering see Scattering polarimetry
Polarisation in multiple scattering, scattering polarimetry 420-421
Polarisation in nuclear reactions 1414-1432
Polarisation in nuclear reactions, analysing powers and scattering amplitudes 1420
Polarisation in nuclear reactions, analysing powers and their extraction 1418-1420
Polarisation in nuclear reactions, analysing powers definition 1418
Polarisation in nuclear reactions, analysing powers in different coordinate systems 1429-1430
Polarisation in nuclear reactions, concept 1416-1418
Polarisation in nuclear reactions, conclusions 1429
Polarisation in nuclear reactions, description 1416-1418
Polarisation in nuclear reactions, deuteron-nucleus scattering 1425-1426
Polarisation in nuclear reactions, elastic scattering of polarised nuclei 1424-1429
Polarisation in nuclear reactions, introduction 1414-1416
Polarisation in nuclear reactions, nucleon-nucleus spin-orbit force 1425
Polarisation in nuclear reactions, parity conservation implications 1418-1419
Polarisation in nuclear reactions, scattering near the Coulomb barrier 1426-1428
Polarisation in nuclear reactions, significance 1415
Polarisation in nuclear reactions, spin 1/2 particles scattering 1415-1416
Polarisation in nuclear reactions, spin-dependent forces 1420-1422
Polarisation in nuclear reactions, spin-dependent forces and analysing powers 1422-1424
Polarisation in nuclear reactions, tensor operators depending on orbital variables 1430-1431
Polarisation in nuclear reactions, tidal symmetry 1428-1429
Polarisation scattering amplitude matrix, scattering polarimetry 408-413
Polarised neutron scattering 1242-1263
Polarised neutron scattering, atomic motions 1259-1260
Polarised neutron scattering, collective diffusive atomic motions 1259-1260
Polarised neutron scattering, conclusions 1260
Polarised neutron scattering, cryopad 1250
Polarised neutron scattering, elastic neutron cross section 1243 1244
Polarised neutron scattering, form factors 1245-1249
Polarised neutron scattering, high- superconductor 1249
Polarised neutron scattering, inelastic neutron scattering with polarised neutrons 1251-1259
Polarised neutron scattering, introduction 1242-1243
Polarised neutron scattering, Kondo effect 1250-1251
Polarised neutron scattering, magnetic form factors 1246-1247
Polarised neutron scattering, magnetisation distribution in molecular magnets 1247-1249
Polarised neutron scattering, polarised neutrons production 1244-1245
Polarised neutron scattering, self-diffusive atomic motions 1259-1260
Polarised neutron scattering, spherical nuclear polarimetry 1249-1251
Polarised neutron scattering, spin densities 1245-1249
Polarised neutron scattering, spin susceptibility 1249
Polarised neutron scattering, zero-field chamber 1250
Polarised neutrons production, single-crystal polarisers 1244
Polarised neutrons production, spin filters 1244 1245
Polarised neutrons production, thin films 1244
Polarised waves scattering by random media, scattering polarimetry 413-418
Polydisperse molecular weights 914
Polydispersity, photon correlation spectroscopy 899-900
Pomeranchuk-like theorems on cross sections 1539
Pomeranchuk-like theorems on real parts 1539-1540
Pomeron phase space 1499
Porter - Bojarksi integral equation 134
Porter - Bojarski equation 138
Positron scattering by atoms and molecules 1017-1020
Positron scattering by atoms and molecules, introduction 1002
Positron scattering by atoms and molecules, scattering by atoms 1017-1019
Positron scattering by atoms and molecules, scattering by molecules 1019-1020
Potassium, quantum degenerate gases 1059
Potential representations, electromagnetic wave scattering 317
Potentials from changing signs of reflection coefficients, inverse scattering theory 779
Potentials vanishing on a half-line, inverse scattering theory 778
Potentials with Dirac delta distributions, inverse scattering theory 778-779
Potthast’s point source method 70
Powder diffraction 1105-1106 1161-1162
Pressure, shear-vertical waves (P - SV waves) 122
Prony’s method 442
Pseudo-image 97 104
Pseudo-inner product 324
PTD (physical theory of diffraction) 245
Pulsed beam solutions, analytic time signals 312-313
Pulsed beam solutions, canonical problems for scattering and pulsed beam solutions, diffraction 304-309
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