Plane wave scattering by a spherical di-electric particle in motion : a relativistic extension of the Mie theory

Handapangoda, C. C., Premaratne, M. and Pathirana, P. N. 2011, Plane wave scattering by a spherical di-electric particle in motion : a relativistic extension of the Mie theory, Electromagnetic waves, vol. 112, pp. 349-379.

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Title Plane wave scattering by a spherical di-electric particle in motion : a relativistic extension of the Mie theory
Author(s) Handapangoda, C. C.
Premaratne, M.
Pathirana, P. N.
Journal name Electromagnetic waves
Volume number 112
Start page 349
End page 379
Publisher Electromagnetics Academy
Place of publication Cambridge, Ma.
Publication date 2011
ISSN 1070-4698
1559-8985
Summary Light scattering from small spherical particles has applications in a vast number of disciplines including astrophysics, meteorology optics and particle sizing. Mie theory provides an exact analytical characterization of plane wave scattering from spherical dielectric objects. There exist many variants of the Mie theory where fundamental assumptions of the theory has been relaxed to make generalizations. Notable such extensions are generalized Mie theory where plane waves are replaced by optical beams, scattering from lossy particles, scattering from layered particles or shells and scattering of partially coherent (non-classical) light. However, no work has yet been reported in the literature on modifications required to account for scattering when the particle or the source is in motion relative to each other. This is an important problem where many applications can be found in disciplines involving moving particle size characterization. In this paper we propose a novel approach, using special relativity, to address this problem by extending the standard Mie theory for scattering by a particle in motion with a constant speed, which may be very low, moderate or comparable to the speed of light. The proposed technique involves transforming the scattering problem to a reference frame co-moving with the particle, then applying the Mie theory in that frame and transforming the scattered field back to the reference frame of the observer.
Language eng
Field of Research 090399 Biomedical Engineering not elsewhere classified
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2011, Elsevier B.V.
Persistent URL http://hdl.handle.net/10536/DRO/DU:30040534

Document type: Journal Article
Collection: School of Engineering
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