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921. MBOLS: Request results
Minsk bibliography on light scattering . ... All the references to the light scattering papers, dissertations, books, etc. were collected by V.A. Babenko (Stepanov Physics Institute, Minsk, Belasrus). ... The work was partly supported by the INTAS grant 99/652, the Russian federal program Astromony, the RFBR grant for the scientific school of V.V.Sobolev and a grant of Goskomvuz. ... 1990,2001 Victor Babenko (Bibliography compiling) . 2001 Serge Beletsky (Design & Programming) . ...
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Ссылки http://www.astro.spbu.ru/DOP/4-BIBL/bibl06.html -- 3.4 Кб -- 19.11.2010
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922. MBOLS: Access/Search
Minsk bibliography on light scattering . Search the database . By default the search is made in all sections and one will get a list of references where either paper title, author or journal name contains the keyword. In future we plan to limit search by selected sections. ... Enter a keyword: . ... Sort by first author name Sort by date (oldest first) . ... c) 1990,2001 Victor Babenko (Bibliography compiling) . c) 2001 Serge Beletsky (Design & Programming) . ...
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Ссылки http://www.astro.spbu.ru/DOP/4-BIBL/bibl1a.html -- 8.8 Кб -- 19.11.2010
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923. Database of Optical Properties -- Level: subpage
Our WWW database contains over 8000 references to papers on various aspects of light scattering theory and its applications and allows a user both browsing and searching. ... Th.Wriedt's site bisides the famous list of light scattering codes provides also a lot of useful bibliographic infiormation. The link Book from the left menu opens a good list on recent books on light scattering. ... Amazon.com presents over 500 book on the topics Optical Properties by the request . ...
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Ссылки http://www.astro.spbu.ru/DOP/4-BIBL/index.html -- 3.6 Кб -- 19.11.2010
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924. Rayleigh and Rayleigh-Gans-Stevenson approximations
... The possibility to use the electrostatic approximation to calculate the polarizability allows one to consider practically any shape scatterers - from the regular ones (ellipsoid, cylinder, disc) [ 7 , 274 ] to those with an arbitrary shape, structure and anisotropy [ 308 , 309 , 313 , 405 ] (in the last case the polarizability tensor should be found numerically) - using the theory of the Rayleigh scattering. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node12.html -- 7.7 Кб -- 19.11.2010
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925. WKB and eikonal approximations (high energy - HEA)
The approaches mentioned in the section title belong to one family which is called in Newton's book [ 56 ] the short waves or high energy approximation (HEA). It means the scattering by soft particles (or potentials) in the case of the wavelengths short in comparison with the particle size (or correspondingly the case of scattering of high energy particles by the potentials). ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node16.html -- 7.1 Кб -- 19.11.2010
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926. Geometrical optics approximation (GO)
For particles of very large sizes, scattering can be considered as a result of interference of the rays having multiple reflections and refractions according to the laws of geometrical optics. ... The papers [ 413 , 414 ] presented a method where the scattering field was expressed via the field at the particle surface using the Huygens-Kirchhoff principle, and reflection and refraction laws were employed to find the unknown field (the approach was called physical optics approximation). ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node17.html -- 4.9 Кб -- 19.11.2010
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927. Bibliography
... Opt. ... Bohren C., Huffmen D. Absorption and scattering og light by small particles. ... van de Hulst H. Light scattering by small particles. ... Aden A.L., Kerker M. Scattering of electromagnetic waves from two concentric spheres. ... Chiappetta P. Multiple scattering approach to light scattering by arbitrarily shaped particles. ... Kiehl J.T., Ko M.W., Mugmai A., Chylek P. Perturbation approach to light scattering by non-spherical particles. in Light scattering by irregularly shaped particles. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node20.html -- 101.3 Кб -- 19.11.2010
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928. Cylinders
For an infinitely long circular cylinder, the solution of the light scattering problem for the perpendicular incidence was first derived by Rayleigh [ 418 ] who returned to this problem once again in his last work [ 417 ] written a short time before his death. The problem for oblique incidence was solved in 1955 by J.R. Wait [ 491 ] (Kerker [ 274 ] at p.256 mentions also the paper of Blank, 1955); a bit later the same result was obtained in [ 172 ]). ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node5.html -- 4.7 Кб -- 19.11.2010
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929. Spheroids
In the scalar Helmholtz equation the variables are separated in 11 physically interesting coordinate systems [ 55 ], however for the vector field containing 3 scalar functions, the complete separation of variables is possible only in 6 systems: Cartesian, 3 cylindrical, conical and spherical ones ([ 55 ], Ch.13). Therefore, the formal solution suggested in 1927 by F. Moeglich [ 368 ] for the spheroidal coordinates was practically usefulness until the work of Sh. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node6.html -- 4.5 Кб -- 19.11.2010
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930. Point matching method
In this method the fields outside and inside a particle are represented by expansions in term of proper basis functions (practically always the vector spherical harmonics). Since the particle surface does not coincide with the coordinate surface, it is impossible to satisfy the boundary conditions exactly, and the expansions are limited by a finite number of terms, and the boundary conditions are considered in a finite set of points (matching points). ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node7.html -- 3.9 Кб -- 19.11.2010
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931. Coupled dipoles method (Purcell-Pennypacker, CDM)
... In the western literature this method is now called ``coupled dipole method" (CDM). ... Thus, a system of equations relative to the fields scattered by the elementary domains can be obtained, and summation of these fields gives the total scattering field. ... A subtle difference between both methods is in the fact that in the first method one works with the fields which excite a dipole (without the field of the dipole), whereas in the second method one uses the real fields in a given domain. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node9.html -- 10.2 Кб -- 19.11.2010
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932. khleb1e
Methods for calculating light scattering . by single particles . ... Exact methods . Separation of variables method . ... Point matching method . Integral equation method . Coupled dipoles method (Purcell-Pennypacker, CDM) . ... Approximate methods . ... Rayleigh-Debye-Gans approximation (RDG) . Generalizations of the RDG approximation . Anomalous diffraction approximation (AD) . ... Hybrid and simple analytical approximations . ... Created by V.I. Last modified: 12/08/03, V.I. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/index.html -- 4.3 Кб -- 19.11.2010
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933. Introduction
The general formulation of the problem of light scattering (diffraction) is rather simple. The field is incident on a scatterer of the volume , and creates the field inside the scatterer and an additional (diffraction) field outside it. ... Despite the simplicity of the scheme, a concrete solution of the problem essentially depends on the geometry of the scatterer and its structure. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node1.html -- 4.8 Кб -- 19.11.2010
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934. Approximate methods
. Rayleigh and Rayleigh-Gans-Stevenson approximations . Rayleigh-Debye-Gans approximation (RDG) . Generalizations of the RDG approximation . Anomalous diffraction approximation (AD) . WKB and eikonal approximations (high energy - HEA) . Geometrical optics approximation (GO) . Perturbation method . Hybrid and simple analytical approximations To the top . Created by V.I. Last modified: 12/08/03, V.I.
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node11.html -- 3.4 Кб -- 19.11.2010
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935. Generalizations of the RDG approximation
For non-spherical isotropic particles, the classic variant of the RDG approximation does not include the anisotropy of the shape and hence does not give the correct Rayleigh limit, say, for small ellipsoids. ... We call this variant a modified RDG approximation (MRDG). ... First, the MRDG leads to the correct Rayleigh limit. ... The second approach to generalization of the RDG is connected with the use of the Born iterations for the scattering integral equation [ 95 , 124 , 132 , 264 ]. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node14.html -- 8.2 Кб -- 19.11.2010
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936. Separation of variables method
. Spherical particles . Cylinders . Spheroids To the top . Created by V.I. Last modified: 12/08/03, V.I.
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node3.html -- 2.9 Кб -- 19.11.2010
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937. Spherical particles
The classic solution for homogeneous sphere was suggested in 1899 by A.E.N. Love [ 330 ], in 1908 by G. Mie [ 342 ] and in 1909 by P. Debye [ 199 ]. ... Traditionally the theory of light scattering by a sphere is called the Mie theory. ... The exact solutions of the Mie problem for an optically active sphere (i.e. a sphere of optically active material [ 7 ]) and for a sphere with an optically active mantle were first obtained in 1974-5 by S. Bohren [ 158 , 159 ]. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node4.html -- 7.6 Кб -- 19.11.2010
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938. Integral equation method
This method occupies a particular place among the methods of solution of diffraction problems. ... A detailed discussion of the questions connected with the application of the integral equations to light scattering problems can be found in [ 24 , 401 , 464 ]. For solution of the integral equations one uses different methods: method of moments, Galerkin method, etc. 228 , 243 , 265 , 380 , 434 , 467 , 495 , 500 ]. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node8.html -- 5.7 Кб -- 19.11.2010
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939. T-matrix method (EBCM)
The T-matrix or transition matrix is well known in the quantum theory of scattering [ 56 ] where one also uses the Heisenberg S-matrix connected with the T-matrix by the relation . In contrast to the coordinate representation in the integral equation method, where the scattered and incident fields are connected by the Green function, the T-matrix connects the coefficients of the expansions of the scattered and incident fields in terms of a complete system of the vector basis functions. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node10.html -- 11.0 Кб -- 19.11.2010
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940. Rayleigh-Debye-Gans approximation (RDG)
... Such particles are called ``optically soft'', and the corresponding approximation could be named that of optically soft particles. ... For the theory based on the assumption (1), there are a set of the names: Rayleigh-Gans [ 11 ], Rayleigh-Debye [ 274 , 397 ], Rayleigh-Gans-Born [ 474 ], Rayleigh-Gans-Debye [ 78 , 144 , 409 , 410 ], Rayleigh-Gans-Rokard [ 132 ], Rayleigh-Debye-Gans (RDG) [ 100 , 462 ], Born (or the first Born) [ 56 , 135 ] approximation. ...
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Ссылки http://www.astro.spbu.ru/DOP/3-REVS/KHLEB1/node13.html -- 18.8 Кб -- 19.11.2010
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