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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 7 — Jul. 1, 2013
  • pp: 1996–2007

Three-dimensional integral equation approach to light scattering, extinction cross sections, local density of states, and quasi-normal modes

Jakob Rosenkrantz de Lasson, Jesper Mørk, and Philip Trøst Kristensen  »View Author Affiliations


JOSA B, Vol. 30, Issue 7, pp. 1996-2007 (2013)
http://dx.doi.org/10.1364/JOSAB.30.001996


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Abstract

We present a numerical formalism for solving the Lippmann–Schwinger equation for the electric field in three dimensions. The formalism may be applied to scatterers of different shapes and embedded in different background media, and we develop it in detail for the specific case of spherical scatterers in a homogeneous background medium. In addition, we show how several physically important quantities may readily be calculated with the formalism. These quantities include the extinction cross section, the total Green’s tensor, the projected local density of states, and the Purcell factor as well as the quasi-normal modes of leaky resonators with the associated resonance frequencies and quality factors. We demonstrate the calculations for the well-known plasmonic dimer consisting of two silver nanoparticles and thus illustrate the versatility of the formalism for use in modeling of advanced nanophotonic devices.

© 2013 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(240.6680) Optics at surfaces : Surface plasmons
(290.4210) Scattering : Multiple scattering
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Scattering

History
Original Manuscript: March 12, 2013
Revised Manuscript: April 23, 2013
Manuscript Accepted: April 24, 2013
Published: June 27, 2013

Virtual Issues
Vol. 8, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Jakob Rosenkrantz de Lasson, Jesper Mørk, and Philip Trøst Kristensen, "Three-dimensional integral equation approach to light scattering, extinction cross sections, local density of states, and quasi-normal modes," J. Opt. Soc. Am. B 30, 1996-2007 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-7-1996

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