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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3437–3443

Dyadic Green’s function of a cluster of spheres

Angela P. Moneda and Dimitrios P. Chrissoulidis  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3437-3443 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003437


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Abstract

The electric dyadic Green’s function (dGf) of a cluster of spheres is obtained by application of the superposition principle, dyadic algebra, and the indirect mode-matching method. The analysis results in a set of linear equations for the unknown, vector, wave amplitudes of the dGf; that set is solved by truncation and matrix inversion. The theory is exact in the sense that no simplifying assumptions are made in the analytical steps leading to the dGf, and it is general in the sense that any number, position, size and electrical properties can be considered for the spheres that cluster together. The point source can be anywhere, even within one of the spheres. Energy conservation, reciprocity, and other tests prove that this solution is correct. Numerical results are presented for an electric Hertz dipole radiating in the presence of an array of rexolite spheres, which manifests lensing and beam-forming capabilities.

© 2007 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(350.5610) Other areas of optics : Radiation

ToC Category:
Scattering

History
Original Manuscript: June 8, 2007
Revised Manuscript: September 5, 2007
Manuscript Accepted: September 6, 2007
Published: October 5, 2007

Citation
Angela P. Moneda and Dimitrios P. Chrissoulidis, "Dyadic Green's function of a cluster of spheres," J. Opt. Soc. Am. A 24, 3437-3443 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3437


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