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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
Mathematical theories, scattering by a metric      1668-1677
Mathematical theories, semi-group theory and scattering      1653-1667
Mathematical theories, short-range interactions      1640-1647
Matrix assembly rule, numerical techniques      327
Matrix methods      737-739
Matrix sparsity      361
Matrix-pencil method      442-443
Matthiae, G., High - Energy Elastic Scattering and Total Cross Sections      1548-1564
Matveev, V.B., Long - Range Scattering      1648-1652
Maue formula      48 50
Maximum entropy approach      1405-1406
Maxwell equations      175-177 (see also Perturbed reduced
Maxwell equations, electromagnetic wave scattering      317
Maxwell equations, entire solutions      181
Maxwell equations, geometrical optics solution      218-221
Maxwell equations, media scattering (electromagnetic)      211
Maxwell equations, obstacles scattering (electromagnetic waves)      192-195
Maxwell equations, radiation conditions      192-195
Maxwell equations, X-ray diffraction      1112-1113
Maxwell, James, Clerk      175
Mayer; K.      see K.J. Langenberg
Maystre, D., M. Saillard and G. Tayeb, Special Methods of Waves Diffraction      366-383
Mean differential scattering cross section per unit volume      168
Media (term), ambiguity      103
Media scattering (acoustic), direct scattering problem      76-78
Media scattering (acoustic), far field operator      78-81
Media scattering (acoustic), far field pattern      78-81
Media scattering (acoustic), introduction      74-75
Media scattering (acoustic), inverse problem, uniqueness      81-82
Media scattering (acoustic), modified fundamental solutions      76
Media scattering (acoustic), Newton method      92-93
Media scattering (acoustic), optimisation methods      91-92
Media scattering (acoustic), point sources      79
Media scattering (acoustic), reconstruction of the refractive index      8 8-90
Media scattering (acoustic), sampling methods      90-91
Media scattering (acoustic), stabilty for the inverse problem      84-87
Media scattering (acoustic), uniqueness in two dimensions      82-84
Media scattering (electromagnetic), direct scattering problem      212-215
Media scattering (electromagnetic), far field operator      215-218
Media scattering (electromagnetic), far field pattern      215-218
Media scattering (electromagnetic), introduction      211-212
Media scattering (electromagnetic), inverse problem, stability      222-225
Media scattering (electromagnetic), inverse scattering problem, uniqueness      221-222
Media scattering (electromagnetic), Maxwell equations, geometrical-optics solution      218-221
Media scattering (electromagnetic), optimisation methods      228
Media scattering (electromagnetic), orthotropic media      227-228
Media scattering (electromagnetic), refractive index reconstruction      225-227
Media scattering (electromagnetic), sampling methods      229
Media scattering, acoustic scattering      74-94
Media scattering, electromagnetic waves scattering      211-229
Mesh truncation      363
Method of fictitious sources, wave diffraction methods      366 367-372
Method of moments (MOM or MoM)      25 320
Method of moments for solving linear operator equations, numerical techniques      332
Method of ordered multiple interactions (MOMI)      26
Meyer, R., J. Streckert and V. Hansen, Biological Effects of Radio - Frequency Fields      508-527
MFIE (magnetic field integral equation)      24 256 323
Michette, Alan G., Fundamentals of X-ray Scattering      1099 1111
Microwave hearing      511
Microwave ovens      510
Mie series      197
MIEZE (Modulation of Intensity with Zero field spin echo), multilevel      1283
MIEZE (Modulation of Intensity with Zero field spin echo), principles      1281-1283
MIEZE (Modulation of Intensity with Zero field spin echo), quantum mechanical picture      1284-1285
MIEZE (Modulation of Intensity with Zero field spin echo), spectrometer (MIEZE - II)      1283-1284
Mikhailov, A.V.      see S.K. Turitsyn
Milder’s method      25
Miller-type Airy function      265
Miller; Douglas E.      see Michael Oristaglio
Mine identification, electromagnetic      444-445
Mine identification, polarimetric properties      445
Mixed reciprocity relation      216
MKdV (modified Korteweg-deVries equation)      1776
MM (numerical moment method)      268
Mobile communications, biological effects of radio-frequency fields      511
Mobile communications, satellite-based      404-406
Mobile communications, terrestrial      402-404
Mode coupling      574-575
Mode coupling, light scattering in continuous dielectric media      809-811
Modified gradient method, nonlinear scalar inverse scattering      149-153
Modified Korteweg-de Vries equation (mKdV)      1776
Molecular backscatter spectrum      939
Molecular close-coupling method      1029-
Molecular optical anisotropy      915-916
Molecular orbital expansion method      1027
Molecular scattering      see Atomic and molecular scattering for main entry
Molecular scattering, atmospheric scattering      939
Molecular shape reconstruction      1129-1133
MOM or MoM (method of moments)      25 320
Moment methods, direct potential scattering      723
Moment methods, numerical techniques      330-334
MOMI (method of ordered multiple interactions)      26
Monofrequent acoustic wave      170
Monostatic frequency diversity      129-130 132
Monostatic radar cross section      318
Morozov discrepancy principle      71 207
MSI (magnetic-singularity identification)      432 437
Mueller matrix, eigenvalues, scattering po- larimetry      423
Mueller matrix, physical readability, scattering polarimetry      418-420
Mueller matrix, wave scattering, scattering polarimetry      418-422
Multi - Regge theory, $S$-matrix theory      1497-1499
Multi - Regge theory, $t$-channel unitarity in the J plane      1498
Multi - Regge theory, Froissart - Gribov continuations      1498
Multi - Regge theory, partial-wave expansions      1497-1498
Multi - Regge theory, Reggeon unitarity      1498-1499
Multi - Regge theory, Sommerfeld-Watson representations      1498
Multibounce physical optics method, high- frequency methods      254-257
Multiparticle asymptotic dispersion relations      1496-1497
Multiparticle kinematics      1495-1496
Multiple diffraction model      1553-1554
Multiple discontinuities classification      1497
Multiple scattering, elastic body waves scattering      555-559
Multiple scattering, interpretation      1386
Multiple scattering, rough surfaces scattering      882-892
Multipole lumps scattering for the Kadomtsev - Petviashvili, introduction      1792-1795
Multistep Born approximation, direct reaction theories      1368-1369
Muon anomaly      1479-1481
Muon pairs      1463-1465 1475
Nachman’s method      88-90
Natural boundary condition      324
NDT (nondestructive testing)      116
Near field Fourier inversion, linear scalar inverse scattering      137-139
Near infrared (NIR)      920
Nervous system      513
Neumann boundary conditions      5 39 324
Neumann functions      50
Neumann functions, spherical      43
Neumann iteration, nonlinear scalar inverse scattering      144-145
Neumann series      9
Neutrino-induced reactions      1567-1568
Neutron backscattering spectroscopy      1217 1221
Neutron reflection      1198-1208
Neutron reflection, absorption      1201
Neutron reflection, air/liquid interface      1205-1206
Neutron reflection, air/solid interface      1205
Neutron reflection, applications      1204-1207
Neutron reflection, biological membranes structure      1206-1207
Neutron reflection, data analysis      1203-1204
Neutron reflection, interdiffusion      1201-1202
Neutron reflection, introduction      1198-1199
Neutron reflection, magnetic materials      1201
Neutron reflection, measurement      1202-1204
Neutron reflection, Nickel gratings      1205
Neutron reflection, roughness      1201-1202
Neutron reflection, solid/liquid interface      1206-1207
Neutron reflection, surfactant monolayer structure      1205-1206
Neutron reflection, theory      1199-1202
Neutron resonance spin echo      1266-1268
Neutron resonance spin echo (NRSE)      1266
Neutron scattering, high-resolution neutron scattering      1264-1286
Neutron scattering, magnetic scattering of neutrons, elastic and inelastic      1174-1197
Neutron scattering, master equation      1175-1176
Neutron scattering, neutron reflection      1198-1208
Neutron scattering, neutron spectroscopy      1209-1241
Neutron scattering, neutron spin echo      1264-1286
Neutron scattering, nuclear scattering of neutrons, elastic and inelastic      1155-1173
Neutron scattering, polarised neutron scattering      1242-1263
Neutron spectroscopy      1209-1241
Neutron spectroscopy, applications      1227-1239
Neutron spectroscopy, atomic diffusion      1233-1234
Neutron spectroscopy, complex systems      1234-1239
Neutron spectroscopy, correlation functions      1210
Neutron spectroscopy, differential cross section      1209-1210
Neutron spectroscopy, inelastic spectroscopy      1210
Neutron spectroscopy, instrumental aspects      1210-1227
Neutron spectroscopy, introduction      1209
Neutron spectroscopy, magnetic scattering      1227-1229
Neutron spectroscopy, molecular diffusion      1233-1234
Neutron spectroscopy, neutron backscattering spectroscopy      1217-1221
Neutron spectroscopy, neutron spin-echo spectroscopy      1221-1227
Neutron spectroscopy, quantum tunnelling      1232-1233
Neutron spectroscopy, quasielastic spectroscopy      1210
Neutron spectroscopy, rotational dynamics      1232
Neutron spectroscopy, scattering law      1209-1210
Neutron spectroscopy, theory      1209-1210
Neutron spectroscopy, time-of-flight spectroscopy      1211-1217
Neutron spectroscopy, vibrational dynamics      1229-1231
Neutron spin echo      1264-1286
Neutron spin echo (NSE)      1264
Neutron spin echo, inclined precession field boundaries      1272-1279
Neutron spin echo, inelastic scattering      1270-1272
Neutron spin echo, introduction      1264-1265
Neutron spin echo, MIEZE      1281-1285
Neutron spin echo, phonon focussing      1272-1273
Neutron spin echo, photon focussing      1274-1276
Neutron spin echo, quasi-elastic scattering      1265-120
Neutron spin echo, spectrometer’s performance      1279-1280
Neutron spin echo, tilted field boundaries      1276-1279
Neutron spin-echo spectrometers (NSE)      1209
Neutron spin-echo spectroscopy      1221-1227
Neveu, Andr$\acute{e}$, Remarks on Scattering of Strings and Superstrings      1627-1630
Newton - Kantorovich method, nonlinear scalar inverse scattering      148
Newton - Marchenko method, inverse scattering theory      776
Newton method      92-93
Newton methods, diffusion tomography in dense media      932
Newton, Roger G., Application of the Marchenko Method to Three - Dimensional Inverse Scattering      742-753
Newton, Roger G., Three - Dimensional Direct Scattering Theory      686-701
Newton-Sabatier method      see Matrix methods
Nickel gratings      1205
NIR (near infrared)      920
Noisy data      152
Non - Gaussian fields, rough surfaces scattering      880-881
Non - Gaussian surfaces, rough surfaces scattering      881-882
Non-linear b’chroder equation, solitons scattering      1780-1781
Nonautonomous case      712-713
Nondestructive testing (NDT)      116
Nondestructive testing with ultrasound      594-617
Nondestructive testing with ultrasound, basic analytical solutions      595-602
Nondestructive testing with ultrasound, conclusions      615
Nondestructive testing with ultrasound, elastic wave governing equations      595-602
Nondestructive testing with ultrasound, imaging      613-615
Nondestructive testing with ultrasound, introduction      594-595
Nondestructive testing with ultrasound, numerical modelling with EFIT      602-613
Noneikonal extensions      1384-1385
Nonhomogeneous media with jump discontinuities, inverse scattering theory      782-783
Nonhomogeneous media, inverse scattering theory      781
Nonlinear inverse scattering scheme (new)      127
Nonlinear light scattering, spatial optical solitons scattering      987-1001
Nonlinear light scattering, stimulated Brillouin scattering      958-968
Nonlinear light scattering, stimulated Rayleigh - Wing scattering      969-986
Nonlinear ocean waves      637-666
Nonlinear ocean waves, Fourier analysis      638-642
Nonlinear ocean waves, integrable wave equations      642-647
Nonlinear ocean waves, introduction      637-638
Nonlinear ocean waves, laboratory measurements      662-664
Nonlinear ocean waves, numerical examples      657-662
Nonlinear ocean waves, oceanographic measurements      662-664
Nonlinear ocean waves, periodic inverse scattering      642-647
Nonlinear ocean waves, time series analysis methods      647-657
Nonlinear ocean waves, times series analysis with      1
Nonlinear scalar inverse scattering, algorithms and applications      142-161
Nonlinear scalar inverse scattering, back-propagation method      151
Nonlinear scalar inverse scattering, Born approximation      147
Nonlinear scalar inverse scattering, conclusions      159-161
Nonlinear scalar inverse scattering, conjugate gradient iteration      145-146
Nonlinear scalar inverse scattering, contrast source inversion method      153 156
Nonlinear scalar inverse scattering, distorted Born method      148-149
Nonlinear scalar inverse scattering, extended Born approximation      147
Nonlinear scalar inverse scattering, forward scattering problem      144
Nonlinear scalar inverse scattering, integral representations      142-144
Nonlinear scalar inverse scattering, introduction      142
Nonlinear scalar inverse scattering, inverse problem      146-147
Nonlinear scalar inverse scattering, iterative Born method      147-148
Nonlinear scalar inverse scattering, modified gradient method      149-153
Nonlinear scalar inverse scattering, Neumann iteration      144-145
Nonlinear scalar inverse scattering, Newton - Kantorovich method      148
Nonlinear scalar inverse scattering, system formulation      149
Nonlinear scalar inverse scattering, total variation as additive constraint      156-158
Nonlinear scalar inverse scattering, total variation as multiplicative constraint      158-159
Nonoverdetermined inverse scattering in multidimensions      1737-1739
Nonscattering scatterers      128
Nonstationary Schrodinger operator      1795-1798
Nonthermal influences      511-516
Normalised radar cross section (NRCS)      478
Normalised volume coordinates      351-352
Novikov, R.G., Scattering for the Schr$\ddot{o}$dinger Equation in Multidimensions. Nonlinear      5-
NRCS (normalised radar cross section)      478
NRSE (neutron resonance spin echo)      1266
NSE (neutron spin echo)      1264
NSE (neutron spin-echo spectrometers)      1209
Nuclcon-nucleus spin-orbit force      1425
Nuclear physics, few-body models of nuclear reactions      1374-1392
Nuclear physics, methods of direct reaction theories      1360-1373
Nuclear physics, polarisation in nuclear reactions      1414-1432
Nuclear physics, statistical theory of nuclear reactions      1393-1413
Nuclear physics, three-nucleon scattering      1339-1359
Nuclear reactions, few-body models      1374-1392
Nuclear reactions, polarisation      1414-1432
Nuclear reactions, statistical theory      1393-1413
Nuclear scattering of neutrons, elastic and inelastic      1155-1173
Nuclear scattering of neutrons, elastic and inelastic, atomic nucleus scattering      1155-1157
Nuclear scattering of neutrons, elastic and inelastic, elastic scattering from crystalline solids      1157-1164
Nuclear scattering of neutrons, elastic and inelastic, inelastic scattering in crystalline solids      1164-1172
Nuclear scattering of neutrons, elastic and inelastic, introduction      1155
Nuclear scattering of neutrons, elastic and inelastic, scattering at the atomic nucleus      1155 1157
Null-field method, obstacles scattering (acoustic)      56
Null-field method, obstacles scattering (electromagnetic waves)      195-196
Numerical moment method (MM)      268
Numerical solutions of integral equations, obstacles scattering (acoustic)      58-59
Numerical techniques, apertures      355-357
Numerical techniques, boundary conditions      324
Numerical techniques, composite geometries      355
Numerical techniques, conducting bodies MFIE 3-dimensional      348-349
Numerical techniques, conducting bodies, EFIE 3-dimensional      344-348
Numerical techniques, conducting cylinders CFIE, TM polarisation      334-336
Numerical techniques, conducting cylinders EFIE, TE polarisation      336-340
Numerical techniques, conducting cylinders EFIE, TM polarisation      320-323
Numerical techniques, conducting cylinders MFIE, TE polarisation      340-341
Numerical techniques, conducting cylinders MFIE, TM polarisation      334
Numerical techniques, dielectric bodies      349-351
Numerical techniques, electromagnetic wave scattering      316-365
Numerical techniques, element excitation vector      329
Numerical techniques, element matrices      343-344
Numerical techniques, extending      355-361
Numerical techniques, finite element methods      330-334
Numerical techniques, frequency domain methods      361-362
Numerical techniques, fundamental concepts      317-320
Numerical techniques, geometrical symmetries      359-360
Numerical techniques, Green’s functions      359
Numerical techniques, impedance matrix entries      321-322
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