Journal of the Society of Powder Technology, Japan
Online ISSN : 1883-7239
Print ISSN : 0386-6157
ISSN-L : 0386-6157
Derivation of Mie Theory of Light Scattering
Tatsushi Matsuyama
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2006 Volume 43 Issue 2 Pages 115-124

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Abstract
The Mie's theory of light scattering by a small spherical particle was reviewed in details. It is a classic theory in which the light is treated as an electromagnetic wave, and the incident light activates oscillation of polarized charge in a sphere which results in a radiation of electromagnetic wave as the scattered light. The mathematical realization of the theory consists of some steps as: (1) vector wave equation is derived from Maxwell's equations, (2) general solution of the vector wave equation is obtained on spherical coordinates, (3) plane wave as incident light is expanded on the spherical coordinates, (4) scattered wave from the sphere satisfying the boundary conditions is obtained. Each step was explained in details in the review.
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