An Ellipsoidal Model for Small Multilayer Particles

This paper presents an ellipsoidal model that is constructed for small layered nonspherical particles and methods for constructing “effective” multilayer ellipsoids, the light-scattering properties of which would be close to the corresponding properties of original particles. In the case of axisymme...

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Bibliographic Details
Published in:Optics and spectroscopy 2018-02, Vol.124 (2), p.237-246
Main Authors: Farafonov, V. G., Ustimov, V. I., Il’in, V. B., Sokolovskaya, M. V.
Format: Article
Language:English
Subjects:
Approximation
AXIAL SYMMETRY
BOUNDARY CONDITIONS
Chebyshev approximation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CROSS SECTIONS
Ellipsoids
Lasers
LAYERS
Mathematical models
Oblate spheroids
Optical Devices
Optics
PARTICLES
Photonics
Physical Optics
Physics
Physics and Astronomy
POLARIZABILITY
SCATTERING
Scattering cross sections
SPHEROIDS
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Summary:This paper presents an ellipsoidal model that is constructed for small layered nonspherical particles and methods for constructing “effective” multilayer ellipsoids, the light-scattering properties of which would be close to the corresponding properties of original particles. In the case of axisymmetric particles, prolate or oblate spheroids (ellipsoids of revolution) are implied. Numerical calculations of the polarizability and scattering cross sections of small layered nonspherical particles, including nonconfocal (similar) spheroids, Chebyshev particles, and pseudospheroids, are performed by different approximate and rigorous methods. Approximate approaches involve the use of an ellipsoidal model, in which the polarizability of a layered particle is determined in two ways. In the first case, the polarizability is calculated in the approximation of confocal spheroids, while, in the second case, it is sought as a linear combination of the polarizabilities of embedded spheroids proportionally to the volumes of layers. Among rigorous methods, the extended boundary conditions method and the generalized separation of variables method are applied. On the basis of a comparison of the results obtained with rigorous and approximate approaches, their drawbacks and advantages are discussed.
ISSN:0030-400X
1562-6911
DOI:10.1134/S0030400X18020042