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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
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 $t$ dispersion relations      1535-1536
Fixed $t$ 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$\acute{o}$mez - Camacho, J. and R.C. Johnson, Polarisation in Nuclear Reactions      1414 1432
G$\ddot{a}$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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