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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
Tissue, liver, scattering from 172-173
Tissue, microcalcification 164
Tissue, models 167-170
Tissue, scattering from 171-173
Tissue, scattering strength 169
Tissue, shear waves in elastic scatterers 170
Titchmarsh theorem 680
TLM (transmission line modelling) 362
TM (transverse magnetic field strength) 121
TM (transverse magnetic polarisation) 17 320
TOF (time-of-flight spectrometers) 1209
Tokihiro, T. see J. Satsuma
Tostevin, J.A. see J.S. Al - Khalili
Total cross sections 1555-1558
Total cross sections, cosmic ray results 1557-1558
Total cross sections, dispersion relations fit 1556-1557
Total cross sections, elastic to total cross section ratio 1558
Total cross sections, Regge model fit 1557
Total cross sections, scattering through strong interactions (Hadronic or QCD scale) 1549-1564
Total scattering cross section 318
Total variation as additive constraint, nonlinear scalar inverse scattering 156 158
Total variation as multiplicative constraint, nonlinear scalar inverse scattering 158-159
Total variation term (TV term) 156
Tower diagrams 1590-1592
Trace method, inverse scattering theory 775
Trace-class method 1635-1637
Transient water waves 626-629
Transition metal magnetism 1148-1149
Transmission conditions 39 177
Transmission line modelling (TLM) 362
Transmission problem, low-frequency scattering 237-239
Transmutation operators 735-736
Transverse electric and magnetic (TEM) 280
Transverse electric and magnetic) 280
Transverse electric field strength (TE) 121
Transverse electric field strength) 121
Transverse electric modes (TE) 335
Transverse electric modes) 335
Transverse electric polarisation (TE) 17
Transverse electric polarisation) 17
Transverse magnetic field strength (TM) 121
Transverse magnetic polarisation 324
Transverse magnetic polarisation (TM) 17 320
TRM (time reversal mirror) 115
Turitsyn, S.K. and A.V. Mikhailov Applications of Solitons 1741-1753
Turning-point method 1423-1424
TV term (total variation term) 156
Twersky’s packing function 172
Two-body breakup observables 1376-1377
Two-body scattering 669-672 1376-1377
Two-dimensional scattering, system 1721-1723
Two-dimensional scattering, acoustic 49-51
Two-dimensional scattering, first-order hyperbolic systems 1718-1721
Two-dimensional scattering, heat operator 1725-1727
Two-dimensional scattering, inverse scattering transform and nonlinear partial differential equations 1718-1728
Two-dimensional scattering, Kadomtsev - Petviashvili - II equation 1727
Two-dimensional scattering, time-dependent Schrodinger operator 1723-1725
Two-electron processes 1095-1096
UAT (uniform asymptotic theory) 245
Uhlmann, Gunther, Scattering by a Metric 1668-1677
Ultradiscrete limit 1758-1759
Ultrasound in medical diagnosis 162-174
Ultrasound in medical diagnosis, blood, scattering from 171-172
Ultrasound in medical diagnosis, echography scattering analysis 164
Ultrasound in medical diagnosis, first-order statistics 170-171
Ultrasound in medical diagnosis, image formation 164-167
Ultrasound in medical diagnosis, imaging principle 162-164
Ultrasound in medical diagnosis, introduction 162
Ultrasound in medical diagnosis, liver, scattering from 172-173
Ultrasound in medical diagnosis, scattering from specific tissues 171-173
Ultrasound in medical diagnosis, shear waves in elastic scatterers in tissue 170
Ultrasound in medical diagnosis, spectral analysis 167-170
Ultrasound in medical diagnosis, summary 173
Ultrasound in medical diagnosis, tissue acoustical backscattering 164
Ultrasound in medical diagnosis, tissue as inhomogeneous continuum 167-170
Ultrasound in medical diagnosis, tissue attenuation 166 167
Ultrasound in medical diagnosis, tissue influence on scattering strength 169
Ultrasound in medical diagnosis, tissue models 167-170
Ultrasound non-destructive testing 594-617
Undercritical field 715
Unexploded ordnance (UXO) 432
Uniform asymptotic theory (UAT) 245
Unique continuation principle 76
Uniqueness of the S-matrix 1501-1502
Unitarity and analyticity, rigorous conse-quences, scattering through strong interactions (Hadronic or QCD scale) 1534-1548
Unitarity constraints 1535
Unpaired electrons 1176-1177
UXO (unexploded ordnance) 432
V polarisation 17
Vampire signature 439 445
Variable phase method 721-723
Variational principle, Marchenko method 746-747
Vaughan, J.M., Light Scattering Spectroscopy - Basic Theory and Instrumentation 786-800
Vaughan, J.M., Scattering in the Atmosphere 937-957
Vector spherical harmonics 182
Vector spherical wave functions, electromagnetic waves scattering 182-184
Vector wave equations, electromagnetic wave scattering 317
Vertical-to-vertical polarisation (VV) 16
Vibroacoustics, forward problem 99
Villarroel, J. see M.J. Ablowitz
Visible and near-visible light scattering, atmospheric scattering 937-957
Visible and near-visible light scattering, dense media, diffusion tomography 920-936
Visible and near-visible light scattering, diffusion tomography in dense media 920-936
Visible and near-visible light scattering, laser light scattering, particle sizing 859-919
Visible and near-visible light scattering, light scattering from dense polymer systems 849-863
Visible and near-visible light scattering, light scattering from glasses 815-827
Visible and near-visible light scattering, light scattering from viscous liquids 815-827
Visible and near-visible light scattering, light scattering in continuous dielectric media 801-814
Visible and near-visible light scattering, light scattering spectroscopy 786-800
Visible and near-visible light scattering, particle sizing by laser light scattering 895-919
Visible and near-visible light scattering, Raman scattering 828-848
Visible and near-visible light scattering, scattering from rough surfaces and phase screens 864-894
Visible and near-visible light scattering, scattering in the atmosphere 937-957
Volakis, John L. see Thomas F. Eibert
Voltage excitation vector, numerical techniques 322-323
Voltage standing wave ratio (VSWR) 519
Voltage vector 321
Volume potentials, acoustic scattering 48-49
Volume scattering, wave diffraction methods 376-381
Volumic sources 98
VSWR (voltage standing wave ratio) 519
W (vertical-to-vertical polarisation) 16
Wave diffraction methods, conclusion 381
Wave diffraction methods, electromagnetic wave scattering 366 383
Wave diffraction methods, fictitious sources method 366 367-372
Wave diffraction methods, hybrid methods for surface and volume wave diffraction methods, scattering 376-381
Wave diffraction methods, introduction 366-367
Wave diffraction methods, method of fictitious sources 366 367-372
Wave diffraction methods, S-matrix method 372-376
Wave equation approach to scattering 1668 1669
Wave operators, existence and completeness, short-range interactions 1640-1641
Wave operators, mathematical foundations 1633-1635
Wave operators, short-range interactions 1640-1641
Wave operators, stationery representation, short-range interactions 1644-1645
Wave propagator; dispersive and complex material 281-282
Wave scattering (black holes) 1611-1614
Wave scattering (black holes), black hole glory 1614
Wave scattering (black holes), deflection function 1613-1614
Wave scattering (black holes), Kerr black hole 1626
Wave scattering (black holes), phase-shifts 1613-1614
Wave scattering (black holes), plane wave scattering 1612-1613
Wave scattering (black holes), scalar fields 1611-1612
Wave scattering (black holes), Schwarzchild geometry 1611-1612
Waveform inversion, acoustic and elastic waves 578-593
Waveform inversion, conclusions 590-591
Waveform inversion, elastic full-waveform inversion 587-590
Waveform inversion, inversion and imaging 586-587
Waveform inversion, mathematical formulation 581-586
Waveform inversion, seismic imaging 578-581
Wavefront-curvature matrix 301
Wavepacket equations 300
Websites (ground probing radar) 460
Weidenm ller, Hans A., Statistical Theory of Nuclear Reactions 1393-1413
Weierstrass - Mandelbrot function, band-limited (WM) 468
Weierstrass - Mandelbrot function, fractal models 472-473
Weierstrass - Mandelbrot function, scattered field 474-476
Well-posed problem, definition 45
Weyl function 1686 1687
Weyl spectral representation 19
Weyl’s lemma 75
White, Alan R., The Past and Future of S - Matrix theory 1483-1504
Whitney elements 498-500
Wiener - Boas theorem 680
Wiener - Hopf factorisation, inverse scattering theory 776-777
Wiener - L vy theorem 680
Willox, R. see J. Satsuma
Wilton, D.R., Computational Methods 316-365
Wire sources 369-370
Wirgin, Armand, Acoustical Imaging: Classical and Emerging Methods for Applications in Macrophysics 95-120
WM (Weierstrass - Mandlebrot band- limited function) 468
Wood anomalies on gratings 378
Woodbury formula 1685
Wu, Tai Tsun, Scattering and Production Processes at High Energies 1582-1604
X-ray diffraction, anomalous transmission of X-rays 1120
X-ray diffraction, boundary conditions, single wave and two waves 1117-1118
X-ray diffraction, Bragg case 1119-1120
X-ray diffraction, conclusions 1120 1121
X-ray diffraction, dispersion equation solution 1118-1119
X-ray diffraction, dispersion surfaces 1116-1117
X-ray diffraction, field amplitudes 1119-1120
X-ray diffraction, introduction 1112
X-ray diffraction, Laue case 1119
X-ray diffraction, Maxwell’s equations 1112-1113
X-ray diffraction, resonant magnetic 1140-1154
X-ray diffraction, wave equation 1113-1114
X-ray diffraction, wave equation, single wave and two- wave solutions 1114-1116
X-ray scattering 1112-1122
X-ray scattering, "Thomson scattering 1101-1102
X-ray scattering, anomalous dispersion 1106
X-ray scattering, anomalous transmission of X-rays 1120
X-ray scattering, atomic scattering cross sections 1110
X-ray scattering, atomic scattering factor 1100-1101
X-ray scattering, Compton scattering 1101-1102
X-ray scattering, crystal diffraction 1102-1104
X-ray scattering, Debye equation 1105
X-ray scattering, dynamical diffraction of X-rays 1112-1122
X-ray scattering, fundamentals 1099-1111
X-ray scattering, heavy atom replacement method 1106-1107
X-ray scattering, introduction 1099-1100
X-ray scattering, optical properties 1107-1110
X-ray scattering, phase problem 1106-1107
X-ray scattering, powder diffraction 1105-1106
X-ray scattering, random collection of scatterers 1104-1106
X-ray scattering, resonant magnetic X-ray diffraction 1140-1154
X-ray scattering, shape determination of biomolecules in X-ray scattering, solution 1123-1139
X-ray scattering, solution scattering 1123
X-ray scattering, summary 1110
X-ray scattering, synchrotron scattering 1123-1139
X-ray scattering, X-ray diffraction 1112-1122
XYZ method 1253-1254
Yafaev, D.R., Mathematical Foundations 1633-1639
Yafaev, D.R., Short - Range Interactions 1640-1647
Yagi’s correlation function 172
Yu, Dejin see Robert G. Harrison
Zakharov - Shabat Inverse Scattering 1707-1716
Zakharov - Shabat inverse scattering, current results 1708
Zakharov - Shabat inverse scattering, introduction 1707
Zakharov - Shabat inverse scattering, inverse scattering 1713-1715
Zakharov - Shabat inverse scattering, inverse scattering transform and nonlinear partial differential equations 1707-1717
Zakharov - Shabat inverse scattering, scattering theory 1708-1713
Zero-energy behaviour; Schr dinger equation 772
Zero-field chamber 1250
Zerwas, P.M. see H. Spiesberger
Zimm plot, particle sizing by laser light scattering 912-916
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