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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
Electron diffraction and scattering - theory, diffraction by perfect crystals, geometry 1293-1297
Electron diffraction and scattering - theory, double diffraction 1297
Electron diffraction and scattering - theory, dynamical diffraction theory 1300-1301
Electron diffraction and scattering - theory, elastic scattering by a single atom 1289-1292
Electron diffraction and scattering - theory, elastic scattering by non-absorbing perfect crystals 1297-1302
Electron diffraction and scattering - theory, elastic scattering total cross section 1291-1292
Electron diffraction and scattering - theory, Ewald sphere construction 1294
Electron diffraction and scattering - theory, first Born approximation 1290-1291
Electron diffraction and scattering - theory, inelastic scattering by a single atom 1292-1293
Electron diffraction and scattering - theory, introduction 1287-1289
Electron diffraction and scattering - theory, kinematical diffraction by finite perfect crystals 1294-1296
Electron diffraction and scattering - theory, kinematical diffraction by thin crystals 1296-1297
Electron diffraction and scattering - theory, kinematical theory breakdown 1299
Electron diffraction and scattering - theory, Laue condition 1293-1294
Electron diffraction and scattering - theory, notation 1288-1289
Electron diffraction and scattering - theory, reflecting sphere construction 1294
Electron diffraction and scattering - theory, relativistic effects 1299-1300
Electron diffraction and scattering - theory, two-beam approximation 1301
Electron diffraction and scattering, electron energy loss spectrometry 1304-1317
Electron diffraction and scattering, electron microscopy 1318-1336
Electron diffraction and scattering, theory 1287-1303
Electron energy loss spectrometry (EELS) 1304
Electron energy loss spectrometry, applications 1313-1316
Electron energy loss spectrometry, Bohr impact theory 1308-1310
Electron energy loss spectrometry, bonding determination 1315-1316
Electron energy loss spectrometry, chemical analysis 1313
Electron energy loss spectrometry, conclusions 1316
Electron energy loss spectrometry, dielectric functions determination 1313 1314
Electron energy loss spectrometry, dielectric theory of energy loss 1310-1311
Electron energy loss spectrometry, electron diffraction and scattering 1304-1317
Electron energy loss spectrometry, ELNES theories 1315
Electron energy loss spectrometry, instrumentation 1305
Electron energy loss spectrometry, interatomic bond lengths 1314
Electron energy loss spectrometry, introduction 1304-1305
Electron energy loss spectrometry, kinematics of inelastic scattering 1307-1313
Electron energy loss spectrometry, Kramers - Kronig analysis 1312-1313
Electron energy loss spectrometry, local electronic structure 1315-1316
Electron energy loss spectrometry, notation 1305-1306
Electron energy loss spectrometry, spatial resolution of information 1314
Electron energy loss spectrometry, theories 1307-1313
Electron energy loss spectrometry, transition rate theory of energy loss 1311-1312
Electron energy loss spectrometry, typical spectra 1305-1306
Electron microscopy, applications 1333-1334
Electron microscopy, atomic-resolution imaging theory 1323-1325
Electron microscopy, biology 1331-1332
Electron microscopy, computing methods 1332
Electron microscopy, diffraction contrast mode 1329-1330
Electron microscopy, electron diffraction and scattering 1318 1336
Electron microscopy, history 1318-1321
Electron microscopy, holography 1321-1323
Electron microscopy, imaging 1318
Electron microscopy, introduction 1318
Electron microscopy, operating modes 1330-1331
Electron microscopy, phase problem 1321-1323
Electron microscopy, scattering 1321-1323
Electron microscopy, STEM 1325-1326
Electron microscopy, superresolution schemes 1326-1329
Electron microscopy, Z contrast imaging 1325-1326
Electron scattering by atoms and ions 1002-1014
Electron scattering by atoms and ions, introduction 1002
Electron scattering by atoms and ions, scattering at high energies 1009-1013
Electron scattering by atoms and ions, scattering at intermediate energies 1009-1013
Electron scattering by atoms and ions, scattering at low energies 1002-1009
Electron scattering by atoms and ions, threshold behaviour of ionisation cross section 1013-1014
Electron scattering by molecules 1014 1017
Electron scattering by molecules, basic processes 1014
Electron scattering by molecules, introduction 1002
Electron scattering by molecules, laboratory frame representation 1014-1015
Electron scattering by molecules, molecular frame representation 1015-1017
Electron scattering by molecules, nuclear motion effects 1017
Electrons, applications to scattering 1462-1482
Electroweak interactions 1510-1511
Element excitation vector, numerical techniques 329
Element matrix 338-339 343-344
Elementary cellular automata (ECA) 1754
ELF (extremely low-frequency magnetic fields) 513
Ellipsoidal geometry, low-frequency scattering 241-243
EMSI (electromagnetic singularity identification) 432
ENDE (Electromagnetic Nondestructive Evaluation book series) 502
Enhanced backscattering, rough surfaces scattering 883-887
Enhanced transmission 887-889
EPRI (Electric Power Research Institute) 463
Equation, characterisation of Scattering Data and related results 1729-1740
Equivalent current method (ECM) 245
Equivalent current method, high-frequency methods 271-273
Ergosphere 1623
Essential boundary condition 324
Ewald method 359
Ewald sphere, acoustic waves, linear 124
Ewald sphere, construction, electron diffraction and scattering - theory 1294
Ewald sphere, crystal diffraction 1104
Exceptional points, three-dimensional direct scattering theory 689-690
Expansion of pulsed radiation and propagation, pulsed beam solutions 309-312
Extended Born approximation 147 493
Exterior boundary value problem 192
Exterior Dirichlet problem 53-56
Exterior point sources, inverse scattering theory 758
Extinction cross section 234
Extremely low-frequency magnetic fields (ELF) 513
Fabry - Perot interferometry (FPI) 851
Fabry - Perot interferometry, light scattering from dense polymer systems 851
Facoustical imaging, forward problems, solution 100-101
Faddeev - Marchenko method, inverse scattering theory 774
Faddeev functions, inverse scattering transform and nonlinear partial differential equations 1729-1740
Far field factorisation 201-202 204
Far field Fourier inversion, linear scalar inverse scattering 128-133
Far field operator, definition 79
Far field operator, factorisation 63 80-81 218
Far field operator, media scattering (acoustic) 78-81
Far field operator, media scattering (electromagnetic) 215-218
Far field operator, obstacles scattering (acoustic) 60-64
Far field operator, obstacles scattering (electromagnetic waves) 198-202
Far field operator, properties 79-81
Far field pattern 6
Far field pattern, acoustic scattering 41-43 51
Far field pattern, electromagnetic waves scattering 181 182
Far field pattern, media scattering (acoustic) 78-81
Far field pattern, media scattering (electromagnetic) 215-218
Far field pattern, obstacles scattering (acoustic) 59-60
Far field pattern, refractive index 82 89
Far field, eddy-current scattering 498
Farago, Bela see Bernhard Frick
Fast collisions of ions, atoms and molecules atomic and molecular scattering 1025-1042
Fast multiple method (FMM) 26
FBm (fractional Brownian motion model) 468
FDTD (finite difference time domain approach) 362
FDTD (finite-difference time-domain) 366 453
FEM (finite element method) 323 488
Fermion superconductor 1257
Fermion-fermion elastic scattering 1587-1588
Fermions, interactions with gauge bosons 1513-1519
Few-body models of nuclear reactions 1374-1392
Few-body models of nuclear reactions, accuracy 1379-1380
Few-body models of nuclear reactions, adiabatic approximation 1377-1380
Few-body models of nuclear reactions, adiabatic coupled equations solution 1378-1379
Few-body models of nuclear reactions, binary cluster model 1389-1390
Few-body models of nuclear reactions, breakup reactions 1379
Few-body models of nuclear reactions, breakup role 1390-1391
Few-body models of nuclear reactions, continuum discretisation 1375-1377
Few-body models of nuclear reactions, convergence 1379-1380
Few-body models of nuclear reactions, Coulomb interactions 1384 1386-1387
Few-body models of nuclear reactions, eikonal approximation 1383-1384
Few-body models of nuclear reactions, eikonal few-body models 1385-1387
Few-body models of nuclear reactions, eikonal phase shift corrections 1385
Few-body models of nuclear reactions, eikonal two-body scattering 1382-1384
Few-body models of nuclear reactions, elastic scattering 1379
Few-body models of nuclear reactions, few-body model space 1374-1375
Few-body models of nuclear reactions, folding model 1375
Few-body models of nuclear reactions, Fourier - Bessel expansion 1385
Few-body models of nuclear reactions, Glauber’s few-body model 1385-1386
Few-body models of nuclear reactions, high-energy eikonal limit 1388-1391
Few-body models of nuclear reactions, inelastic scattering 1379
Few-body models of nuclear reactions, introduction 1373-1374
Few-body models of nuclear reactions, multiple scattering interpretation 1386
Few-body models of nuclear reactions, noneikonal corrections 1387
Few-body models of nuclear reactions, noneikonal extensions 1384-1385
Few-body models of nuclear reactions, outlook 1391
Few-body models of nuclear reactions, quasi-adiabatic approximation 1380
Few-body models of nuclear reactions, reaction cross sections 1390
Few-body models of nuclear reactions, reaction observables 1387-1388
Few-body models of nuclear reactions, recoil adiabatic approximation 1380-1382
Few-body models of nuclear reactions, summary 1391
Feynman rules and diagrams 1452-1455
Fibre dispersion 1743-1744
Fibre optics 1743
Fictitious sources method, wave diffraction methods 366 367-372 717-721
Field discontinuities at surface sources 319-320
Filtered backpropagation 933
Finite difference time domain approach (FDTD) 362
Finite element method (FEM) 323
Finite element methods, numerical tech-niques 330-334
Finite-difference time-domain (FDTD) 366 453
Finite-element methods (FEM) 488
First Born approximation 144
First Born approximation, electron diffraction and scattering - theory 1290-1291
First precursor; dispersive and complex material 282-283
First-order hyperbolic systems, two- dimensional scattering 1718-1721
Fixed dispersion relations 1535-1536
Fixed dispersion relations in complex domain 1536
Fletcher - Reeves conjugate direction 150
Floquet relation 107
Fluctuation freezing 822
Fluids in porous rock, ground probing radar 465
FMM (fast multiple method) 26
Fock space of free electrons and positrons 1446-1448
Fock space of free photons 1439-1440
Fock-type Airy functions 263-264
Fock-type surface reflection function 263
Focussing 113
Forward amplitude theorem 62 200
Forward elastic peak 1559-1560
Forward-backward scheme 26
Fourier - Bessel expansion 1385
Fourier analysis, linear and non-linear 638-642
Fourier diffraction slice theorem 137-139
Fourier transform synthetic aperture focussing technique (FT - SAFT) 138
Fourier transforms with regard to time and space, acoustic waves, linear 123-124
FPI (Fabry - Perot interferometry) 851
Fractal dimension 469
Fractal models, connection between Weierstrass- Mandelbrot and fractional Brownian models 473-474
Fractal models, electromagnetic waves scattering 467-485
Fractal models, extended boundary condition method 468
Fractal models, fractional Brownian motion model 470-472
Fractal models, fundamentals 469-470
Fractal models, introduction 467-468
Fractal models, marginally fractal surface 477
Fractal models, measured data comparison 481-482
Fractal models, natural surface models 468-474
Fractal models, quasi-smooth surface 477
Fractal models, range of fractalness 478-479
Fractal models, scattered field, Kirchhoff approach 474-476
Fractal models, scattered field, validity limits 476
Fractal models, scattered power density, fractional Brownian motion model 476-481
Fractal models, scattered power density, Kirchhoff approach 476-478
Fractal models, scattered power density, numerical examples 479-480
Fractal models, scattered power density, small perturbation method 480-481
Fractal models, scattered power density, validity limits 476
Fractal models, summary 482-483
Fractal models, Weierstrass - Mandelbrot function 472-473
Fractional Brownian motion model (fBm) 468
Fractional Brownian motion model, fractal models 470-472
Fractional Brownian motion model, scattered power density 476-481
Fragneto, Giovanna see Robert Cubitt
Franceschetti, Giorgio, Antonio Iodice and Daniele Riccio, Fractal Models for Scattering from Nat-ural Surfaces 467-485
Franz equations 23
Fraunhofer scattering, particle sizing by laser light scattering 907-909
Frechet differentiability 66-67 204
Fredholm theory 8
Free Dirac field, chronological products 1448
Free Dirac field, Fock space of free electrons and positrons 1446-1448
Free Dirac field, interaction with electromagnetic field 1448-1449
Free Dirac field, Lagrangian formulation 1446
Free Dirac field, plane wave solutions of Dirac equation 1444-1446
Free Dirac field, quantum electrodynamics 1443-1448
Free quantum electromagnetic field 1439-1442
Frequency domain 5
Frequency domain backpropagation, linear scalar inverse scattering 133-137
Frequency domain interpretation 300
Frequency domain methods, electromagnetic wave scattering 316
Frequency domain methods, numerical techniques 361-362
Frequency domain systems, diffusion approximation 925-926
Fresnel region approximation 110
Frick, Bernhard and Bela Farago, Neutron Spectroscopy by Time-of - Flight, Backscattering and Spin - Echo techniques 1209-1241
Froissart - Gribov continuations 1498
Froissart - Gribov formula 1541-1542
FT - SAFT (Fourier transform synthetic aperture focussing technique) 138
Funk - Hecke formula 49 187
Funk - Hecke theorem 64
Fusion and fission 1778-1779
Fytas, G., Light Scattering from Dense Polymer Systems 849-863
G mez - Camacho, J. and R.C. Johnson, Polarisation in Nuclear Reactions 1414 1432
G hler; Roland see Thomas Keller
Gain saturation 962-963
Galerkin’s method 325 332 333
Gas Research Institute (GRI) 463
Gauge bosons, interactions with fermions 1513-1519
Gauge transformations 1436-1437
Gauss - Hermite functions 1749-1750
Gauss - Legendre quadrature scheme 322 334 339 340
Gauss’ divergence theorem 177
Gell - Mann - Low formula 1451-1452
Gel’fand - Levitan integral equation 739-730
Gel’fand - Levitan method, inverse scattering theory 774-775
General multipole potentials 1804-1806
Generalised holography 133-134
Generalised inverse operator 102
Generalised Levinson theorem 694
Generalised minimum residual algorithm (GMRES) 361
Generalised multipole techniques (GMT) 362
Generalised Radon transform (GRT) 456-457
Generalised-likelihood ratio test (GLRT) 446
Geodesic surface ray paths 264
Geometrical optics (GO) 245
Geometrical optics method, high-frequency methods 246-251
Geometrical theory of diffraction (GTD) 245
Geometrical theory of diffraction, high- frequency methods 257-269
Geometry of scattering, ground probing radar 454-455
Ghost solitons 1784
Glashow - Salam - Weinberg theory, electroweak interactions 1510-1511
Glashow - Salam - Weinberg theory, high-precision electroweak scattering 1519-1531
Glashow - Salam - Weinberg theory, interactions between Fermions and gauge bosons 1513-1519
Glashow - Salam - Weinberg theory, mass eigenstates of particle 1511-1513
Glashow - Salam - Weinberg theory, masses of particles 1511-1513
Glashow - Salam - Weinberg theory, standard model: physical basis and scattering experiments 1509-1531
Glasses structure and properties, introduction 815-818
Glasses structure and properties, light scattering from glasses 815-820
Glasses structure and properties, low temperature anomalies 819
Glasses structure and properties, two-level systems 819-820
Glasses structure and properties, vibrational density of states 818-819
Glauber scattering 717-721
Glauber’s few-body model 1385-1386
Global discontinuity formulae 1494
Glockle, W., Three - Nucleon Scattering 1339-1359
Glory calculations 1614
GLRT (generalised-likelihood ratio test) 446
GMRES (generalised minimum residual algorithm) 361
GMT (generalised multipole techniques) 362
GO (geometrical optics) 245
Golub, Robert see Thomas Keller
Good functions 1493-1494
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