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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
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, -matrix theory 1497-1499
Multi - Regge theory, -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 , 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 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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