Mie scattering by an anisotropic object. Part I. Homogeneous sphere

Brian Stout; Michel Nevière; Evgeny Popov

doi:10.1364/JOSAA.23.001111

Journal of the Optical Society of America A
Vol. 23,
Issue 5,
pp. 1111-1123
(2006)
•https://doi.org/10.1364/JOSAA.23.001111

Mie scattering by an anisotropic object. Part I. Homogeneous sphere

Brian Stout, Michel Nevière, and Evgeny Popov

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Brian Stout, Michel Nevière, and Evgeny Popov, "Mie scattering by an anisotropic object. Part I. Homogeneous sphere," J. Opt. Soc. Am. A 23, 1111-1123 (2006)

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Abstract

Establishing a vector spherical harmonic expansion of the electromagnetic field propagating inside an arbitrary anisotropic medium, we extend Mie theory to the diffraction by an anisotropic sphere, with or without losses. The particular case of a uniaxial material leads to a simpler analysis. This work opens the way to the construction of a differential theory of diffraction by a three-dimensional object with arbitrary shape, filled by an arbitrary anisotropic material.

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Equations (175)

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ν	1	2	3	4
$n_{θ}, n_{φ}$	1, 1	2, 1	2, 2	3, 1
$θ_{ν}, φ_{ν}$	$0, π$	$\frac{π}{2}, \frac{2 π}{3}$	$\frac{π}{2}, \frac{4 π}{3}$	$π, π$

ν	1	2	3	4	5	6	7	8	9
$n_{θ}, n_{φ}$	1, 1	2, 1	2, 2	3, 1	3, 2	3, 3	4, 1	4, 2	5, 1
$θ_{ν}, φ_{ν}$	$0, π$	$\frac{π}{4}, \frac{2 π}{3}$	$\frac{π}{4}, \frac{4 π}{3}$	$\frac{π}{2}, \frac{π}{2}$	$\frac{π}{2}, π$	$\frac{π}{2}, \frac{3 π}{2}$	$\frac{3 π}{4}, \frac{2 π}{3}$	$\frac{3 π}{4}, \frac{4 π}{3}$	$π, π$

ν	1	2	3	4
$n_{θ}, n_{φ}$	1, 1	2, 1	2, 2	3, 1
$θ_{ν}, φ_{ν}$	$0, π$	$\frac{π}{2}, \frac{2 π}{3}$	$\frac{π}{2}, \frac{4 π}{3}$	$π, π$

ν	1	2	3	4	5	6	7	8	9
$n_{θ}, n_{φ}$	1, 1	2, 1	2, 2	3, 1	3, 2	3, 3	4, 1	4, 2	5, 1
$θ_{ν}, φ_{ν}$	$0, π$	$\frac{π}{4}, \frac{2 π}{3}$	$\frac{π}{4}, \frac{4 π}{3}$	$\frac{π}{2}, \frac{π}{2}$	$\frac{π}{2}, π$	$\frac{π}{2}, \frac{3 π}{2}$	$\frac{3 π}{4}, \frac{2 π}{3}$	$\frac{3 π}{4}, \frac{4 π}{3}$	$π, π$

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Journal of the Optical Society of America A