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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
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, $\delta$ 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$\ddot{u}$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$\acute{e}$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$\ddot{o}$dinger equation      772
Zero-field chamber      1250
Zerwas, P.M.      see H. Spiesberger
Zimm plot, particle sizing by laser light scattering      912-916
1 2 3 4 5 6 7 8 9 10 11 12
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