Research output: Contribution to journal › Article › peer-review
An Ellipsoidal Model for Small Multilayer Particles. / Farafonov, Victor; Ustimov, V. I.; Il'in, V. B.; Sokolovskaya, M. V.
In: OPTICS AND SPECTROSCOPY, Vol. 124, No. 2, 01.02.2018, p. 237-246.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - An Ellipsoidal Model for Small Multilayer Particles
AU - Farafonov, Victor
AU - Ustimov, V. I.
AU - Il'in, V. B.
AU - Sokolovskaya, M. V.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - 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.
AB - 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.
KW - ELECTROMAGNETIC SCATTERING
KW - RAYLEIGH APPROXIMATION
KW - LIGHT-SCATTERING
KW - REFERENCE DATABASE
KW - APPLICABILITY
KW - OBJECTS
UR - http://www.scopus.com/inward/record.url?scp=85044835721&partnerID=8YFLogxK
U2 - 10.1134/S0030400X18020042
DO - 10.1134/S0030400X18020042
M3 - статья
VL - 124
SP - 237
EP - 246
JO - OPTICS AND SPECTROSCOPY
JF - OPTICS AND SPECTROSCOPY
SN - 0030-400X
IS - 2
ER -
ID: 34871017