A New Closed-Form Solution to Light Scattering by Spherical Nanoshells

Light or electromagnetic wave scattered by a single sphere or a coated sphere has been considered as a classic Mie theory. There have been some further extensions that were made further based on the Mie theory. Recently, a closed-form analytical model of the scattering cross section of a single nano...

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Bibliographic Details
Published in:IEEE transactions on nanotechnology 2009-09, Vol.8 (5), p.617-626
Main Authors: Li, J.L.-W., Zhong-Cheng Li, Hao-Yuan She, Zouhdi, S., Mosig, J.R., Martin, O.J.F.
Format: Article
Language:English
Subjects:
Analytical models
Closed-form
Closed-form solution
Cross-disciplinary physics: materials science
rheology
Electromagnetic scattering
Exact sciences and technology
Exact solutions
Light scattering
Materials science
Mathematical analysis
Mathematical models
Mie scattering
Mie theory
Nanocomposites
Nanomaterials
Nanoparticles
Nanoscale materials and structures: fabrication and characterization
nanoshells
Nanostructure
Other topics in nanoscale materials and structures
Physics
Plasmons
Polynomials
Resonance light scattering
Studies
Surface waves
Wavelengths
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Summary:Light or electromagnetic wave scattered by a single sphere or a coated sphere has been considered as a classic Mie theory. There have been some further extensions that were made further based on the Mie theory. Recently, a closed-form analytical model of the scattering cross section of a single nanoshell has been considered. The present paper is documented further, based on the work in 2006 by Alam and Massoud, to derive another different closed-form solution to the problem of light scattered by the nanoshells using polynomials of up to order 6. Validation is made by comparing the present closed-form solution to the exact Mie scattering solution and also to the other closed-form solution by Alam and Massoud. This study is found to be, however, more generalized and also more accurate for the coated spheres of either tiny/small or medium sizes than that of Alam and Massoud. Therefore, the derived formulas can be used for accurately characterizing both surface plasmon resonances of nanoparticles (of small sizes) or nanoantenna near-field properties (of medium sizes comparable with half wavelength).
ISSN:1536-125X
1941-0085
DOI:10.1109/TNANO.2009.2021696