Light Scattering by Small Multilayer Nonconfocal Spheroids Using Suitable Spheroidal Basis Sets
| Autor: | Vladimir B. Il'in, Victor G. Farafonov, V. I. Ustimov |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Laplace's equation Field (physics) 010102 general mathematics Mathematical analysis Coordinate system Separation of variables 01 natural sciences Atomic and Molecular Physics and Optics Light scattering Electronic Optical and Magnetic Materials 010309 optics symbols.namesake Harmonics 0103 physical sciences symbols Boundary value problem 0101 mathematics Rayleigh scattering |
| Zdroj: | Optics and Spectroscopy. 125:957-965 |
| ISSN: | 1562-6911 0030-400X |
| DOI: | 10.1134/s0030400x18120068 |
| Popis: | We construct a Rayleigh approximation for multilayer particles the layer boundaries of which are nonconfocal spheroids. The geometry of the problem is taken into account to the maximum extent by representing the field potentials inside nonconfocal shells as expansions in terms of spheroidal harmonics in different coordinate systems in which the surfaces of the layers are coordinate. To sew two expansions inside each layer, we use relations between spheroidal harmonics of the Laplace equation in systems with different focal lengths that we obtained. The extended boundary conditions method (ЕВСМ) and the separation of variables method (SVM) prove to be equivalent, because they yield the same results. The polarizability of the particle and, therefore, the characteristics of the scattered radiation are written in terms of infinite-dimensional matrices, the elements of which are determined either explicitly or in the form of finite sums. In particular cases of confocal spheroids, this solution is completely consistent with the known results. |
| Databáze: | OpenAIRE |
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