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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
Scattering amplitude properties, three- dimensional dircct scattering theory 691-692
Scattering amplitude, acoustic scattering 41-43
Scattering amplitude, concept 4
Scattering amplitude, elastic surface waves 565-566
Scattering amplitude, irreducible spin tensors 1424
Scattering amplitude, three-dimensional direct scattering theory 688 689
Scattering coefficients, isotropic perturbation, elastic surface waves 567 570
Scattering coefficients, phase velocity perturbation, elastic surface waves 571-572
Scattering coefficients, Schr dinger equation 771
Scattering coefficients, surface topography, elastic surface waves 570-571
Scattering cross section 233-234 236 240
Scattering matrix 197 1645-1646
Scattering matrix fluctuations, scattering polarimetry 415
Scattering matrix, Schr dinger equation 772
Scattering operator singularities 1671-1672
Scattering phenomena, asymptotic completeness 3
Scattering phenomena, asymptotic states 3
Scattering phenomena, classical wave scattering 4 9
Scattering phenomena, existence 3
Scattering phenomena, formal description 3-4
Scattering phenomena, Green’s functions 4-9
Scattering phenomena, scattering states 3
Scattering phenomena, stationary scattering 12
Scattering phenomena, two-body potential scattering 13
Scattering phenomena, uniqueness 3
Scattering polarimetry, backscatter matrices 420
Scattering polarimetry, backscatter matrices, symmetry 421-422
Scattering polarimetry, circular polarisation 408-409
Scattering polarimetry, coherent matrix decompositions 412-413
Scattering polarimetry, coherent scattering amplitude matrix 410-412
Scattering polarimetry, depolarisation 407 417
Scattering polarimetry, depolarisation in scattering 416-418
Scattering polarimetry, eigenvector decomposition of scattering scattering polarimetry, coherency matrices 423-426
Scattering polarimetry, electromagnetic wave scattering 407-430
Scattering polarimetry, entropy, alpha, anisotropy decomposition 424 426
Scattering polarimetry, introduction 407-408
Scattering polarimetry, literature review 427-430
Scattering polarimetry, matrix [T] eigenvalues 423
Scattering polarimetry, Mueller matrix, eigenvalues 423
Scattering polarimetry, Mueller matrix, physical realisability 418-420
Scattering polarimetry, Mueller matrix, wave scattering 418-422
Scattering polarimetry, polarimetric radar inferometry 426-427
Scattering polarimetry, polarisation in multiple scattering 420-421
Scattering polarimetry, polarisation scattering amplitude matrix 408-413
Scattering polarimetry, polarised waves scattering by random media 413-418
Scattering polarimetry, propagation in a homogeneous medium 408
Scattering polarimetry, propagation in anistropic media 408
Scattering polarimetry, propagation in chiral material 408-409
Scattering polarimetry, scattering matrix fluctuations 415
Scattering polarimetry, summary 427
Scattering problem for the one-dimensional Schr dinger operator, inverse scattering problem and applications to NLPDE 1695-1700
Scattering problems models 1657-1662
Scattering theory 1708-1713
Scattering transformation 3
Scattering [by a] metric, inverse kinematic problem 1672-1674
Scattering [by a] metric, inverse scattering problem 1669-1671
Scattering [by a] metric, inverse scattering problem, fixed energy 1674-1676
Scattering [by a] metric, mathematical theories 1668-1677
Scattering [by a] metric, scattering operator singularities 1671-1672
Scattering [by a] metric, singularities of the scattering operator 1671-1672
Scattering [by a] metric, wave equation approach to scattering 1668-1669
Scattering [in the] atmosphere, visible and near-visible light scattering 937-957
Scattering [in] cellular automata, mathematical objects scattering 1754-1772
Scattering [in] magnetic fields, semirelativis- tic wave scattering 711-712
Scattering [of Jdromions, mathematical objects scattering 1773-1791
Scattering [of] multipole lumps for the Kadomtsev - Petviashvili equation, binary Darboux transformation 1804-1806
Scattering [of] multipole lumps for the Kadomtsev - Petviashvili equation, general multipole potentials 1804-1806
Scattering [of] multipole lumps for the Kadomtsev - Petviashvili equation, KPI solutions 1798-1804
Scattering [of] multipole lumps for the Kadomtsev - Petviashvili equation, mathematical objects scattering 1792-1804
Scattering [of] multipole lumps for the Kadomtsev - Petviashvili equation, nonstationary Schrodinger operator 1795-1798
Scattering [of] solitons, mathematical objects scattering 1773-1791
Scattering [of] strings and superstrings astrophysics 1627-1630
Scattering [through] electro-weak interactions (Fermi scale), standard model: physical basis and scattering experiments 1505-1533
Scattering [through] strong interactions (Hadronic or QCD scale), deep inelastic scattering of leptons and hadrons 1565-1581
Scattering [through] strong interactions (Hadronic or QCD scale), high-energy elastic scattering 1549-1564
Scattering [through] strong interactions (Hadronic or QCD scale), rigorous consequences of analyticity and unitarity 1534-1548
Scattering [through] strong interactions (Hadronic or QCD scale), scattering and production processes at high energies 1582-1604
Scattering [through] strong interactions (Hadronic or QCD scale), total cross sections 1549-1564
Scattering, black holes, approximations 1617-1618
Scattering, black holes, black hole defined 1607-1608
Scattering, black holes, classical trajectories 1608-1610
Scattering, black holes, complex angular momentum approach 1618
Scattering, black holes, cross sections 1618
Scattering, black holes, gravitational lensing 1609-1610
Scattering, black holes, Green’s function approach 1615
Scattering, black holes, Hawking radiation 1620-1621
Scattering, black holes, Kerr black hole 1621-1626
Scattering, black holes, mode excitation 1617
Scattering, black holes, photon trajectories 1608-1609
Scattering, black holes, physical interpretations 1618-1620
Scattering, black holes, quantum effects 1620-1621
Scattering, black holes, quasinormal modes 1615-1617
Scattering, black holes, sample results 1619 1620
Scattering, black holes, scattering at extreme physical scales 1607-1626
Scattering, black holes, Schwarzschild black holes 1608-1609
Scattering, black holes, starlight bending 1609
Scattering, black holes, stress-energy tensor 1621
Scattering, black holes, time-dependent scattering, resonances 1614-1618
Scattering, black holes, wave scattering 1611-1614
Scattering, extreme physical scales, scattering by black holes 1607-1626
Scattering, media see Media scattering
Scattering, number theory, introduction 1689-1690
Scattering, number theory, Laplace operator 1690-1691
Scattering, number theory, Lax - Phillips semigroup 1691-1693
Scattering, number theory, Lobachevsky - Poincar plane 1690-1691
Scattering, number theory, mathematical theories 1689-1694
Scattering, number theory, Riemann hypothesis 1691-1693
Scattering, obstacles see Obstacles scattering
Scattering, production processes at high energies, classical electromagnetic theory 1583-1584
Scattering, production processes at high energies, conclusions 1601-1602
Scattering, production processes at high energies, Droplet model of Yang and collaborators 1584-1585
Scattering, production processes at high energies, expanding elementary particles 1592-1594
Scattering, production processes at high energies, fermion-fermion elastic scattering 1587-1588
Scattering, production processes at high energies, introduction 1582-1583
Scattering, production processes at high energies, particle production 1588 1590
Scattering, production processes at high energies, phenomenology 1595-1601
Scattering, production processes at high energies, phenomenology comments 1600-1601
Scattering, production processes at high energies, phenomenology model 2 1597-1600
Scattering, production processes at high energies, phenomenology model 0 1595
Scattering, production processes at high energies, phenomenology model 1 1595-1597
Scattering, production processes at high energies, relativistic quantum field theory 1585-1587
Scattering, production processes at high energies, scattering through strong interactions (Hadronic or QCD scale) 1582-1604
Scattering, production processes at high energies, tower diagrams 1590-1592
Scattering, rough surfaces and phase screens, visible and near-visible light 864-894
Scattering, Schr dinger equation 1730-1732
Scattering, Schr dinger equation, multidimensions, inverse scattering 1729-1740
Scattering, semi-group theory, mathematical theories 1653-1667
Scattering, slab in dispersive and complex material 288-289
Schiffer’s uniqueness proof 64 202
Schmitz, Georg, Ultrasound in Medical Diagnosis 162-174
Schr dinger equation 9
Schr dinger equation, bound states 771-772
Schr dinger equation, collisions of ions, atoms and molecules, fast and slow 1032
Schr dinger equation, Darboux transformation 772-773
Schr dinger equation, fragmentation of the potential 773
Schr dinger equation, inverse scattering 1729-1732
Schr dinger equation, inverse scattering theory 770-773
Schr dinger equation, Jost solution 771
Schr dinger equation, model wave function 1362-1363
Schr dinger equation, nonoverdetermined inverse scattering in Schr dinger equation, multidimensions 1737-1739
Schr dinger equation, scattering 1730-1732
Schr dinger equation, scattering coefficients 771
Schr dinger equation, scattering matrix 772
Schr dinger equation, zero-energy behaviour 772
Schr dinger operation on lattice 1646
Schwarzchild geometry 1611-1612
Schwarzschild black holes 1608-1609
Screening effects 683
Sea surface 482
Second precursor, dispersive and complex material 283-285
Seismic imaging, waveform inversion 578-581
Seismogram 530-531
Self trapped optical beams see Spatial optical solitons scattering
Self-adjoint dilation resonance scattering 1662-1665
Self-energy in transport theory, light scattering in continuous dielectric media 808-809
Self-energy, light scattering in continuous dielectric media 810-811
SEM (singularity expansion method) 431 434
SEM parameters, numerical calculations EMSI 440-441
SEM parameters, numerical calculations MSI 441-442
Semi-group theory and scattering, characteristic function 1662-1665
Semi-group theory and scattering, contracting semigroups models 1657-1662
Semi-group theory and scattering, contracting semigroups scattering 1665-1666
Semi-group theory and scattering, introduction 1653-1654
Semi-group theory and scattering, mathematical theories 1653-1667
Semi-group theory and scattering, scattering problems models 1657 1662
Semi-group theory and scattering, self-adjoint dilation resonance scattering 1662-1665
Semi-group theory and scattering, shift group 1654-1657
Semi-group theory and scattering, spectral theory of functions 1654-1657
Semirelativistic wave scattering, asymptotic completeness 704-705
Semirelativistic wave scattering, Coulomb-type potentials, Dollard modification 709-711
Semirelativistic wave scattering, direct potential scattering 702-716
Semirelativistic wave scattering, high-energy behaviour 707
Semirelativistic wave scattering, invariance principle 708
Semirelativistic wave scattering, long-range potentials, asymptotic observables 708 709
Semirelativistic wave scattering, nonautonomous case 712-713
Semirelativistic wave scattering, pair creation by time-dependent fields 714-715
Semirelativistic wave scattering, QED in external fields 713-714
Semirelativistic wave scattering, relativistic kinematics 703-704
Semirelativistic wave scattering, scattering in magnetic fields 711-712
Semirelativistic wave scattering, short-range potentials 705-707
Semirelativistic wave scattering, spontaneous pair creation 715-716
Semirelativistic wave scattering, super symmetry 708
SH waves (shear-horizontal waves) 122
Shape determination of biomolecules in solution, X-ray scattering 1123-1139
Shape-persistent macromolecules 857-859
Shear-horizontal waves (SH waves) 122
Sheet sources 370
Shift group 1654-1657
Shooting and bouncing ray method (SBR) 245
Shooting and bouncing ray method high-frequency methods 254-255
Short-range interactions, introduction 1640
Short-range interactions, lattice, Schr dinger equation 1646
Short-range interactions, mathematical theories 1640-1647
Short-range interactions, scattering matrix 1645-1646
Short-range interactions, Schr dinger operation on lattice 1646
Short-range interactions, singular continuous spectrum absent 1641-1642
Short-range interactions, stationary representation of wave opera-tors 1644-1645
Short-range interactions, stationary Schr dinger equation 1642-1644
Short-range interactions, wave operators 1640-1641
Short-range interactions, wave operators, existence and completeness 1640 1641
Short-range interactions, wave operators, stationery representation 1644-1645
Short-range potentials 705-707
Sigelmann - Reid method 168
Silver - M ller radiation conditions 176 180-181 192 211 232
Sine - Gordon equation 1777
Sine function 323
Single scattering 421
Single-layer potentials 6 45-48
Single-particle resonances 1397
Single-scattering phenomena, rough surfaces scattering 876-882
Singular continuous spectrum absent 1641-1642
Singular integral equations, inverse scattering theory 775
Singularity cancellation method 346
Singularity expansion method (SEM) 431 434
Singularity expansion method, description methods 432-438
Singularity expansion method, eigenmode expansion method 433-434
Singularity expansion method, electromagnetic wave scattering 431-438
Singularity expansion method, integral equations for electromagnetic scattering 432-433
Singularity expansion method, perturbation of natural frequencies 436-437
Singularity expansion method, targets (dielectric) in simple lossy medium 436
Singularity expansion method, targets (high conducting) 437-438
Singularity expansion method, targets (perfectly conducting) in simple lossy medium 435-436
Singularity expansion method, targets in free space 434 435
Singularity subtraction method 346
Slab-like object, acoustical imaging 105-108
SLAC (Stanford Linear Accelerator) 1565
Slow collisions of ions, atoms and molecules, atomic and molecular scattering 1025-1042
Small perturbation method (SPM) 21 467
Small-slope approximation (SSA) 21-22
Smooth method 1637-1638
Snail neurons 512
Snieder, Roel, General Theory of Elastic Wave Scattering 528-542
Snieder, Roel, Scattering of Surface Waves 562-577
SNP (spherical nuclear polarimetry) 1249
Sobolev space 56 187
Sobolev space mapping properties 48
Sodium, quantum degenerate gases 1058-1059
Soffer, J. see C. Bourrely
Soft colloids 854-857
Soil 441
Soil, bare surface 481
Soinmerfeld - Watson representations 1498
Solitoffs 1787-1788
Soliton cellular automata (SCA) 1754
Soliton cellular automata, cellular automata scattering 1761-1762
Soliton interaction, experiments 992-999
Soliton interaction, integrable models 990
Soliton interaction, nonintegrable models 990-992
Soliton interaction, photorefractive media 995-999
Soliton interaction, rubidium vapour 993-995
Soliton interaction, theory 990-992
Soliton scattering in box and ball systems, cellular automata scattering 1762-1767
Soliton scattering, existence, cellular automata scattering 1765-1767
Solitons and solitoffs 1787-1788
Solitons scattering, bright solitons and their scattering 1780-1781
Solitons scattering, Burgers equation 1778
Solitons scattering, dark solitons and their scattering 1781
Solitons scattering, different types of solitons 1779-1780
Solitons scattering, extracting asymptotic states 1774 1775
Solitons scattering, fusion and fission 1778-1779
Solitons scattering, Hirota - Satsuma equation 1779-1780
Solitons scattering, Hirota’s method 1788-1790
Solitons scattering, introduction 1773
Solitons scattering, Kaup - Kuperschmidt equation 1777-1778
Solitons scattering, Korteweg-deVries equation and similar equations 1773-1776
Solitons scattering, line solitons in two-dimensions 1783
Solitons scattering, Manakov’s model 1781-1783
Solitons scattering, modified Korteweg-de Vries equation 1776
Solitons scattering, non-linear Schr der equation 1780-1781
Solitons scattering, real one-component systems 1773-1776
Solitons scattering, real soliton equations 1776-1778
Solitons scattering, Sine - Gordon equation 1777
Solitons scattering, summary 1788
Solitons, applications solitons, dispersion-managed solitons 1745-1751
Solitons, fibre dispersion 1743-1744
Solitons, fibre optics 1743
Solitons, hydrodynamics 1742-1743
Solitons, introduction 1741-1742
Solitons, optical soliton 1744-1745
Solitons, plasma physics 1742-1743
Solution scattering 1123
Sommerfeld - Watson transformation 7
Sommerfeld’s finiteness condition 41
Sommerfeld’s forerunner 282-283
Sommerfeld’s radiation condition 5 6 38 51 181 192
Sonar, active and passive 116
Sound-hard boundary condition 39
Sound-soft obstacle 39
Sound-soft scatterer 64-65
Source-type integral equation 153
Sources (term), ambiguity 103
Space-borne Doppler wind lidar 953-955
Space-borne Doppler wind lidar (DWL) 953-955
Space-time localisation 295
Spatial optical solitons scattering, conclusions 999-1000
Spatial optical solitons scattering, introduction 987-989
Spatial optical solitons scattering, models 989-990
Spatial optical solitons scattering, soliton interaction, experiments 992-999
Spatial optical solitons scattering, soliton interaction, theory 990-992
Spatial soliton, stimulated Rayleigh-wing scattering 978-984
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