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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
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$\ddot{o}$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$\ddot{o}$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$\ddot{o}$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$\acute{e}$ 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$\ddot{o}$dinger equation      1730-1732
Scattering, Schr$\ddot{o}$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$\ddot{o}$dinger equation      9
Schr$\ddot{o}$dinger equation, bound states      771-772
Schr$\ddot{o}$dinger equation, collisions of ions, atoms and molecules, fast and slow      1032
Schr$\ddot{o}$dinger equation, Darboux transformation      772-773
Schr$\ddot{o}$dinger equation, fragmentation of the potential      773
Schr$\ddot{o}$dinger equation, inverse scattering      1729-1732
Schr$\ddot{o}$dinger equation, inverse scattering theory      770-773
Schr$\ddot{o}$dinger equation, Jost solution      771
Schr$\ddot{o}$dinger equation, model wave function      1362-1363
Schr$\ddot{o}$dinger equation, nonoverdetermined inverse scattering in Schr$\ddot{o}$dinger equation, multidimensions      1737-1739
Schr$\ddot{o}$dinger equation, scattering      1730-1732
Schr$\ddot{o}$dinger equation, scattering coefficients      771
Schr$\ddot{o}$dinger equation, scattering matrix      772
Schr$\ddot{o}$dinger equation, zero-energy behaviour      772
Schr$\ddot{o}$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$\ddot{o}$dinger equation      1646
Short-range interactions, mathematical theories      1640-1647
Short-range interactions, scattering matrix      1645-1646
Short-range interactions, Schr$\ddot{o}$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$\ddot{o}$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$\ddot{u}$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$\ddot{o}$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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