Application of Gegenbauer analysis to light scattering from spheres: Theory
- 1 March 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (3) , 2516-2526
- https://doi.org/10.1103/physreve.51.2516
Abstract
The Mie and Rayleigh-Debye theories of homogeneous spheres are reformulated in terms of Gegenbauer functions to allow a comparison between the two treatments in the Rayleigh-Debye limit. This leads to reduced Mie equations that are valid for all particle sizes, whereas the Rayleigh-Debye equations are restricted to an outer size parameter αKeywords
This publication has 8 references indexed in Scilit:
- Extension of the iterative EBCM to calculate scattering by low-loss or lossless elongated dielectric objectsApplied Optics, 1984
- Light Scattering by a Spheroidal ParticleApplied Optics, 1975
- Symmetry, Unitarity, and Geometry in Electromagnetic ScatteringPhysical Review D, 1971
- Backscattering Cross Section of a Dielectric Elliptical Cylinder*Journal of the Optical Society of America, 1965
- Linearization of Products of Jacobi Polynomials.MATHEMATICA SCANDINAVICA, 1962
- On the scattering of light spherical shells, and by complete spheres of periodic structure, when the refractivity is smallProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1918
- Zerstreuung von RöntgenstrahlenAnnalen der Physik, 1915
- Beiträge zur Optik trüber Medien, speziell kolloidaler MetallösungenAnnalen der Physik, 1908