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Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies

Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies
Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies
We extend the T-matrix approach to light scattering by spherical particles to some simple cases in which the scatterers are optically anisotropic. Specifically, we consider cases in which the spherical particles include radially and uniformly anisotropic layers. We find that in both cases the T-matrix theory can be formulated using a modified T-matrix ansatz with suitably defined modes. In a uniformly anisotropic medium we derive these modes by relating the wave packet representation and expansions of electromagnetic field over spherical harmonics.
The resulting wave functions are deformed spherical harmonics that represent solutions of the Maxwell equations. We present preliminary results of numerical calculations of the scattering by spherical droplets. We concentrate on cases in which the scattering is due only to the local optical anisotropy within the scatterer. For radial anisotropy we find that nonmonotonic dependence of the scattering cross section on the degree of anisotropy can occur in a regime to which both the Rayleigh and semiclassical theories are inapplicable. For uniform anisotropy the cross section is strongly dependent on the angle between the incident light and the optical axis, and for larger droplets this dependence is nonmonotonic.
1539-3755
056609-[16pp]
Kiselev, A.D.
88681c32-4e74-4cc1-bfb0-61f458d47e20
Reshetnyak, V.Y.
e12aee37-8ee0-48c5-b576-c65ea3a2b3fb
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Kiselev, A.D.
88681c32-4e74-4cc1-bfb0-61f458d47e20
Reshetnyak, V.Y.
e12aee37-8ee0-48c5-b576-c65ea3a2b3fb
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6

Kiselev, A.D., Reshetnyak, V.Y. and Sluckin, T.J. (2002) Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies. Physical Review E, 65 (5), 056609-[16pp]. (doi:10.1103/PhysRevE.65.056609).

Record type: Article

Abstract

We extend the T-matrix approach to light scattering by spherical particles to some simple cases in which the scatterers are optically anisotropic. Specifically, we consider cases in which the spherical particles include radially and uniformly anisotropic layers. We find that in both cases the T-matrix theory can be formulated using a modified T-matrix ansatz with suitably defined modes. In a uniformly anisotropic medium we derive these modes by relating the wave packet representation and expansions of electromagnetic field over spherical harmonics.
The resulting wave functions are deformed spherical harmonics that represent solutions of the Maxwell equations. We present preliminary results of numerical calculations of the scattering by spherical droplets. We concentrate on cases in which the scattering is due only to the local optical anisotropy within the scatterer. For radial anisotropy we find that nonmonotonic dependence of the scattering cross section on the degree of anisotropy can occur in a regime to which both the Rayleigh and semiclassical theories are inapplicable. For uniform anisotropy the cross section is strongly dependent on the angle between the incident light and the optical axis, and for larger droplets this dependence is nonmonotonic.

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Published date: 2002

Identifiers

Local EPrints ID: 29590
URI: http://eprints.soton.ac.uk/id/eprint/29590
ISSN: 1539-3755
PURE UUID: 3b20953a-b60e-4507-8544-a6e86f686d0f
ORCID for T.J. Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

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Date deposited: 12 May 2006
Last modified: 09 Jan 2022 02:32

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Contributors

Author: A.D. Kiselev
Author: V.Y. Reshetnyak
Author: T.J. Sluckin ORCID iD

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