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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
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Год издания: 2001
Количество страниц: 1831
Добавлена в каталог: 04.07.2008
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Предметный указатель
and scattering near the Coulomb barrier 142
-scan (compound scan image) 164
polarised case 1568-1569
unpolarised case 1565-1567
annihilation into Lepton pairs 1463-1466
annihilation into Muon pairs 1463-1465 1475
annihilation into tau pairs 1465 1475
annihilation into two photons 1466-1468 1472-1474
-space approach 21
-matrix solutions 1369
operator 11
-matrix 4 370-371
-matrix spectrum, three-dimensional direct scattering theory 694-695
-matrix theory, analyticity in field theory 1489-1490
-matrix theory, asymptotic -matrix theory 1495-1497
-matrix theory, axiomatic -matrix theory 1490-1495
-matrix theory, Coulomb potential 683
-matrix theory, Dirichlet-to - Neumann operators 1678-1688
-matrix theory, history 1487-1490
-matrix theory, introduction 1483-1487
-matrix theory, living without field theory 1487
-matrix theory, multi - Regge theory 1497-1499
-matrix theory, postulate, final 1488-1489
-matrix theory, postulates, further 1487-1488
-matrix theory, postulates, initial 1487
-matrix theory, quantum chromodynamics 1488-1489
-matrix theory, quantum chromodynamics and the critical pomeron 1500-1502
-matrix theory, Reggeon field theory 1499-1500
-matrix theory, state of the art of pertubative methods 1483-1504
-matrix theory, uniqueness of the S-matrix 1501-1502
-matrix, Dirichlet-to Neumann map and Krein formula 1682-1686
-matrix, Dirichlet-to Neumann map and Weyl function 1686-1687
-matrix, Dirichlet-to Neumann map definition 1678-1679
-matrix, Dirichlet-to Neumann map features 1679-1681
-matrix, Dirichlet-to Neumann map in scattering problems 1681-1682
-matrix, elements in field theory 1449-1450
-matrix, LSZ reduction 1450-1451
-matrix, method 366
-matrix, three-dimensional direct scattering the-ory 692-693
-matrix, wave diffraction methods 372-376
-matrix method 56 196 361
system, two-dimensional scattering 1721-1723
A-scan (amplitude scan) 163
ABC (absorbing boundary conditions) 363
Ablowitz, M.J. and J. Villarroel, On the Scattering of Multiple Lumps for the Kadomtsev - Petviashvili Equation 1792-1806
Absorbing boundary conditions (ABC) 363
Absorption cross section 233-234 237
Acoustic approximation 96
Acoustic double-layer potentials 45
Acoustic emission 115
Acoustic holography 116
Acoustic microscopy 115
Acoustic multipoles 44
Acoustic scattering, acoustic waves 37-39
Acoustic scattering, double-layer potentials 45-48
Acoustic scattering, far field pattern 41-43
Acoustic scattering, Green’s formula 39-41
Acoustic scattering, Green’s theorem 39-41
Acoustic scattering, Herglotz wave functions 49
Acoustic scattering, rough surfaces 17-23
Acoustic scattering, scattering amplitude 41-43
Acoustic scattering, single-layer potentials 45-48
Acoustic scattering, spherical wave functions 43-45
Acoustic scattering, theoretical tools 37-51
Acoustic scattering, two-dimensional case 49-51
Acoustic scattering, volume potentials 48-49
Acoustic single-layer potentials 45
Acoustic singularity identification (ASI) 432
Acoustic speckle 170
Acoustic spectroscopy 116
Acoustic waves, imaging and inversion 578-593
Acoustic waves, linear scalar inverse scattering 122-128
Acoustic waves, linear, boundary conditions 122-123
Acoustic waves, linear, canonical scatterers 125-126
Acoustic waves, linear, constitutive equations 123
Acoustic waves, linear, governing equations 122-123
Acoustic waves, linear, Green’s function for homogeneous waves 123
Acoustic waves, linear, homogeneous plane waves in homogeneous media 123
Acoustic waves, linear, perfectly rigid scatterers 126-127 128 133 136
Acoustic waves, linear, perfectly soft scatterers 126 127-128 131-132 136
Acoustic waves, linear, wave equation for pressure in inhomoge- neous media 123
Acoustic waves, theoretical tools 37-39
Acoustical imaging, application methods 95-120
Acoustical imaging, applied surface sources 99
Acoustical imaging, applied volumic sources 98
Acoustical imaging, Born approximation 105
Acoustical imaging, conclusions 118
Acoustical imaging, definition 95
Acoustical imaging, echography 116-118
Acoustical imaging, forward problems 99-100
Acoustical imaging, forward radiation problem 101
Acoustical imaging, image 104
Acoustical imaging, induced volumic sources 98
Acoustical imaging, insonified object 98
Acoustical imaging, intersecting canonical body approximations 105-109
Acoustical imaging, introduction 95-97
Acoustical imaging, inverse boundary problems 96 97
Acoustical imaging, inverse medium problem 96
Acoustical imaging, inverse medium problem as inverse source problem 103-105
Acoustical imaging, inverse medium problem schematisation 101-103
Acoustical imaging, inverse problem 99-100
Acoustical imaging, inverse problem and action of a lens 112 113
Acoustical imaging, inverse source problem schematisation 101-103
Acoustical imaging, inverse sources problem 96
Acoustical imaging, irradiated object 98
Acoustical imaging, media and sources (terms) 97-99
Acoustical imaging, perturbation analysis 105-108
Acoustical imaging, pseudo-image 97 104
Acoustical imaging, quasi-image 104
Acoustical imaging, retrieval-type inverse problems 96
Acoustical imaging, sound, use to identify active sources 115-116
Acoustical imaging, sources and media (terms) 97-99
Acoustical imaging, synthesis-type inverse problems 96
Acoustical imaging, time-reversal mirror 113-115
Acoustical imaging, vibroacoustics 99
Actinide magnetism 1147-1148
ADC (analogue-to-digital converters) 460
Adiabatic approximation 1377-1380
Adiabatic coupled equations solution 1378-1379
Adjoint-field method, diffusion tomography in dense media 931-932
Advanced propagator 9
Aerosol scattering, aerosol backscatter calculations 945
Aerosol scattering, atmospheric backscatter measurements 941-945
Aerosol scattering, backscatter scaling laws 945-948
Aerosol scattering, introduction 940-941
AI (associative ionisation) 1035
Aircraft scale models 442
Aktosun, Tuncay and Martin Klaus, Inverse Theory: Problem on the Line 770-785
Al - Khalili, J.S. and J.A. Tostevin, Few - Body Models of Nuclear Reactors 1373-1392
Amplitude scan (A-scan) 163
Analogue-to-digital converters (ADC) 460
Analytic time signals, pulsed beam solutions 312-313
Analyticity and unitarity, rigorous consequences, scattering through strong interactions (Hadronic or QCD scale) 1534-1548
Analyticity domains 1495-1496
Analyticity in field theory, S-matrix theory 1489-1490
Analyticity properties, crossing 1536-1537
Analyticity properties, fixed dispersion relations 1535-1536
Analyticity properties, fixed dispersion relations in complex domain 1536
Analyticity properties, rigorous consequences of analyticity and unitarity 1535-1537
Andersson, Nils and Bruce Jensen, Scattering by Black Holes 1607-1626
Anechoic chambers 517
Angular diversity 134-136
Angular intensity correlations 889-892
Animal experiments 510
Anisotropic depolariser, surface backscatter 417-418
Anisotropic media, elastic wave scattering 537-541
Anisotropic media, electromagnetic waves scattering 188
Anisotropic media, scattering polarimetry 408
Anisotropic scattering, diffusion approximation 923-924
Anisotropy 169 241
Anomalous layer 117
Antennas, arrays 398-399
Antennas, basic types 388-393
Antennas, broadband 393-395
Antennas, conformal 395-398
Antennas, electromagnetic wave scattering 384-399
Antennas, fundamental properties 384-388
Antennas, ground probing radar 461-462
Antennas, impulse ground probing radar 461
Antennas, radar 401-402
Application to scattering of photons and electrons, annihilation into Lepton pairs 1463 1466
Application to scattering of photons and electrons, annihilation into Muon pairs 1463-1465 1475
Application to scattering of photons and electrons, annihilation into tau pairs 1465 1475
Application to scattering of photons and electrons, annihilation into two photons 1466-1468 1472-1474
Application to scattering of photons and electrons, Bhabha scattering 1465-1466 1474-1475
Application to scattering of photons and electrons, electron anomaly 1478-1479
Application to scattering of photons and electrons, high energy tests of quantum electrodynamics 1472-1475
Application to scattering of photons and electrons, introduction 1462
Application to scattering of photons and electrons, light-by-light scattering 1468
Application to scattering of photons and electrons, magnetic moment of charged Leptons, anomalous 1475-1481
Application to scattering of photons and electrons, Muon anomaly 1479-1481
Application to scattering of photons and electrons, radiative corrections 1468-1472
Application to scattering of photons and electrons, state of the art of pertubative methods 1462-1482
Application to scattering of photons and electrons, tau anomaly 1481
Applications of solitons, inverse scattering transform and nonlinear partial differential equations 1741-1753
Applications of solitons, solitons and water waves 618-637
Applied surface sources 99
ARL (Army Research Laboratory) 444
Army Research Laboratory (ARL) 444
Arridge, S.R., Diffusion Tomography in Dense Media 920-936
ASI (acoustic singularity identification) 432
Associative ionisation (AI) 1035
Asymptotic -matrix theory, -matrix theory 1495-1497
Asymptotic -matrix theory, analyticity domains 1495-1496
Asymptotic -matrix theory, elastic scattering asymptotic dispersion relation 1495
Asymptotic -matrix theory, multiparticie kinematics 1495-1496
Asymptotic -matrix theory, multiparticle asymptotic dispersion rela-tions 1496-1497
Asymptotic -matrix theory, multiple discontinuities classification 1497
Asymptotic completeness 679 704-705
Atmospheric backscatter measurements 941-945
Atmospheric scattering, aerosol scattering 940-948
Atmospheric scattering, clouds 948-949
Atmospheric scattering, introduction 937-939
Atmospheric scattering, lidar measurements 949-953
Atmospheric scattering, lidar sensing 949-953
Atmospheric scattering, molecular backscatter spectrum 939
Atmospheric scattering, molecular scattering 939
Atmospheric scattering, scattering from clouds 948-949
Atmospheric scattering, space-borne Doppler wind lidar 953-955
Atmospheric scattering, surface water waves 618-636
Atmospheric scattering, visible and near-visible light scattering 937-957
Atom-molecule collisions, cold molecules 1062
Atomic and molecular scattering, atomic scattering at surfaces 1081-1098
Atomic and molecular scattering, chemical reactions 1068-1080
Atomic and molecular scattering, collisions of atoms and molecules, ultracold 1043-1067
Atomic and molecular scattering, collisions of ions, atoms and molecules, fast 1025-1042
Atomic and molecular scattering, collisions of ions, atoms and molecules, slow 1025-1042
Atomic and molecular scattering, electron scattering by atoms, ions and molecules 1002-1024
Atomic and molecular scattering, fast collisions of ions, atoms and molecules 1025-1042
Atomic and molecular scattering, positron scattering by atoms, ions and molecules 1002-1024
Atomic and molecular scattering, slow collisions of ions, atoms and molecules 1025-1042
Atomic and molecular scattering, ultra-cold collisions of atoms and molecules 1043-1067
Atomic collisions with multielectron targets collisions of ions, atoms and molecules, fast and slow 1035
Atomic collisions, cold, collisions in traps 1052
Atomic collisions, cold, identical particle effects 1046-1047
Atomic collisions, cold, interaction potentials 1047-1048
Atomic collisions, cold, scattering basic concepts 1045-1046
Atomic collisions, cold, scattering channels 1044-1045
Atomic collisions, cold, scattering resonances 1051-1052
Atomic collisions, cold, theory 1044-1052
Atomic collisions, cold, threshold onset 1049-1050
Atomic collisions, cold, threshold properties 1048-1049
Atomic collisions, cold, wave functions 1049-1050
Atomic nucleus scattering 1155-1157
Atomic scattering at surfaces, atomic potentials 1088
Atomic scattering at surfaces, conclusions 1097
Atomic scattering at surfaces, dielectric response theory 1083-1084
Atomic scattering at surfaces, electron correlations 1095-1096
Atomic scattering at surfaces, energy loss 1090-1091
Atomic scattering at surfaces, grazing incidence scattering 1090-1091
Atomic scattering at surfaces, interaction potentials 1082-1088
Atomic scattering at surfaces, introduction 1081-1082
Atomic scattering at surfaces, Jellium model 1082-1083
Atomic scattering at surfaces, quantum mean-field methods 1096-1097
Atomic scattering at surfaces, reactive ion-surface scattering 1091-1097
Atomic scattering at surfaces, reflection 1088-1090
Atomic scattering at surfaces, resonant charge transfer 1091-1094
Atomic scattering at surfaces, resonant coherent excitation 1094-1095
Atomic scattering at surfaces, surface channelling 1088-1090
Atomic scattering at surfaces, surface response function 1085-1088
Atomic scattering at surfaces, trajectories 1088-1091
Atomic scattering at surfaces, two-electron processes 1095-1096
Atomic scattering cross sections 1110
Atomic scattering factor 1100-1101
Auberson, G., Introduction to General Concepts and Main Tools 3-14
Autoionising states 1397-1399
Axiomatic -matrix theory, condition 1491-1492
Axiomatic -matrix theory, -matrix theory 1490-1495
Axiomatic -matrix theory, bad functions 1493-1494
Axiomatic -matrix theory, bubble diagrams 1490-1491
Axiomatic -matrix theory, CPT theorem 1494-1495
Axiomatic -matrix theory, essential support 1492
Axiomatic -matrix theory, global discontinuity formulae 1494
Axiomatic -matrix theory, good functions 1493-1494
Axiomatic -matrix theory, Hermitian analyticality 1494-1495
Axiomatic -matrix theory, Landau diagrams 1490-1491
Axiomatic -matrix theory, Landau equations 1491-1492
Axiomatic -matrix theory, local discontinuity formulae 1493
Axiomatic -matrix theory, macrocausality 1492
Axiomatic -matrix theory, Steinmann relations 1493-1494
Axiomatic -matrix theory, structure theorem 1492-1493
Axiomatic -matrix theory, unitarity 1490-1491 1491-1492
Azimuthal symmetry 422-423
B ni, P. see B. Roessli
B-scan (brightness scan technique) 162
Back-propagation method 151
Backscatter enhancement effect 29-30
Backscatter matrices, scattering polarime- try 420-422
Backscatter scaling laws, aerosol scattering 945-948
Backscattering alignment system (BSA) 411
Backscattering coefficient 478
Backscattering enhancement 379
Backscattering spectrometers (BS) 1209
Bad functions 1493-1494
Banach spaces 48
Band-limited fractional Brownian motion model 471
Banded matrix iterative approach (BMIA) 26
Barill , R. and G. Rivoire, Stimulated Rayleigh-wing Scattering (SRWS) 969-986
Baum, Carl E. and Lawrence Carin, Singularity Expansion Method, Symme-try and Target Identification 431-447
BBS (box and ball systems) 1762
Beam-amplitude matrix 301
BEM (boundary-element methods) 488
Berg, P M van den, Nonlinear Scalar Inverse Scattering: Algorithms and Applications 142-161
Bessel beam excitation 976-978
Bessel functions 50
Bessel functions, spherical 43
Bethe - Salpeter equation 16
Bethe ridge 1307
Bhabha scattering 1465-1466 1474-1475
BiCGSTAB (stabilised biconjugate gradient algorithm) 361
BIE (boundary integral equation method) 101
Binary Darboux transformation 1804-1 806
Biological effects of radio-frequency fields, absorption mechanisms 508-510
Biological effects of radio-frequency fields, animal experiments 510
Biological effects of radio-frequency fields, biological membranes 511
Biological effects of radio-frequency fields, body temperature 511
Biological effects of radio-frequency fields, cancer 514-516
Biological effects of radio-frequency fields, central nervous system 513-514
Biological effects of radio-frequency fields, conclusion 516 523
Biological effects of radio-frequency fields, electromagnetic wave scattering 508-527
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