Light scattering resonances in small particles with electric and magnetic properties

B. García-Cámara; F. Moreno; F. González; J. M. Saiz; G. Videen

doi:10.1364/JOSAA.25.000327

Light scattering resonances in small particles with electric and magnetic properties

B. García-Cámara, F. Moreno, F. González, J. M. Saiz, and G. Videen

Journal of the Optical Society of America A
Vol. 25,
Issue 2,
pp. 327-334
(2008)
•https://doi.org/10.1364/JOSAA.25.000327

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B. García-Cámara, F. Moreno, F. González, J. M. Saiz, and G. Videen, "Light scattering resonances in small particles with electric and magnetic properties," J. Opt. Soc. Am. A 25, 327-334 (2008)

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Related Topics
Table of Contents Category
- Scattering
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Left-handed materials (350.3618)
- Extinction (290.2200)
- Mie theory (290.4020)
- Scattering, particles (290.5850)

About this Article
History
- Original Manuscript: August 16, 2007
- Revised Manuscript: November 21, 2007
- Manuscript Accepted: November 21, 2007
- Published: January 10, 2008
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Abstract

Lorenz–Mie resonances produced by small spheres are analyzed as a function of their size and optical properties ( $ε ≷ 0$ , $μ ≷ 0$ ). New generalized $(μ \neq 1)$ approximate and compact expressions of the first four Lorenz–Mie coefficients ( $a_{1}$ , $b_{1}$ , $a_{2}$ , and $b_{2}$ ) are calculated. With these expressions and for small particles with various values of ε and μ, the extinction cross section $(Q_{ext})$ is calculated and analyzed, in particular for resonant conditions. The dependence on particle size of the extinction resonance, together with the resonance shape (FWHM), is also analyzed. In addition to the former analysis, a study of the scattering diagrams for some interesting values of ε and μ is also presented.

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$R ∕ λ$	TE		TM
$R ∕ λ$	Dipolar	Quadrupolar	Dipolar	Quadrupolar
0.01	0.05418 (0°)	0.01234 (0°)	0.05418 (0°)	0.01234 (0°)
0.02	0.06131 (0°)	0.0187 (0°)	0.06131 (0°)	0.0187 (0°)
0.03	0.07554 (0°)	0.02087 (0°)	0.07554 (0°)	0.02087 (0°)
0.04	0.09727 (0°)	0.02088 (0°)	0.09727 (0°)	0.02088 (0°)
0.05	0.09961 (0°)	0.20629 (0°)	0.09961 (0°)	0.20629 (0°)

$R ∕ λ$	TE		TM
$R ∕ λ$	Dipolar	Quadrupolar	Dipolar	Quadrupolar
0.01	0.05077 (0°)	0.04527 (90°)	0.05321 (0°)	0.01299 (0°)
0.02	0.05248 (0°)	0.05163 (90°)	0.05471 (0°)	0.01799 (0°)
0.03	0.05482 (0°)	0.07001 (270°)	0.05665 (0°)	0.0346 (0°)
0.04	0.05689 (0°)	0.11177 (270°)	0.05809 (0°)	0.08278 (0°)
0.05	0.05748 (0°)	0.17536 (180°)	0.05819 (0°)	0.1762 (180°)

$R ∕ λ$	TE		TM
$R ∕ λ$	Dipolar	Quadrupolar	Dipolar	Quadrupolar
0.01	0.05418 (0°)	0.01234 (0°)	0.05418 (0°)	0.01234 (0°)
0.02	0.06131 (0°)	0.0187 (0°)	0.06131 (0°)	0.0187 (0°)
0.03	0.07554 (0°)	0.02087 (0°)	0.07554 (0°)	0.02087 (0°)
0.04	0.09727 (0°)	0.02088 (0°)	0.09727 (0°)	0.02088 (0°)
0.05	0.09961 (0°)	0.20629 (0°)	0.09961 (0°)	0.20629 (0°)

$R ∕ λ$	TE		TM
$R ∕ λ$	Dipolar	Quadrupolar	Dipolar	Quadrupolar
0.01	0.05077 (0°)	0.04527 (90°)	0.05321 (0°)	0.01299 (0°)
0.02	0.05248 (0°)	0.05163 (90°)	0.05471 (0°)	0.01799 (0°)
0.03	0.05482 (0°)	0.07001 (270°)	0.05665 (0°)	0.0346 (0°)
0.04	0.05689 (0°)	0.11177 (270°)	0.05809 (0°)	0.08278 (0°)
0.05	0.05748 (0°)	0.17536 (180°)	0.05819 (0°)	0.1762 (180°)

Abstract

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Cited By

Figures (8)

Tables (2)

Equations (10)

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