File(s) under permanent embargo
Plane wave scattering by a spherical di-electric particle in motion : a relativistic extension of the Mie theory
journal contribution
posted on 2011-01-01, 00:00 authored by Chintha Handapangoda, M Premaratne, Pubudu PathiranaPubudu PathiranaLight 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.
History
Journal
Electromagnetic wavesVolume
112Pagination
349 - 379Publisher
Electromagnetics AcademyLocation
Cambridge, Ma.ISSN
1070-4698eISSN
1559-8985Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2011, Elsevier B.V.Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC