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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: Franco Gori
  • Vol. 27, Iss. 5 — May. 1, 2010
  • pp: 1002–1011

Scattering of light by molecules over a rough surface

Maureen Long, Michelle Khine, and Arnold D. Kim  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1002-1011 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001002


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Abstract

We present a theory for the multiple scattering of light by obstacles situated over a rough surface. This problem is important for applications in biological and chemical sensors. To keep the formulation of this theory simple, we study scalar waves. This theory requires knowledge of the scattering operator (t-matrix) for each of the obstacles as well as the reflection operator for the rough surface. The scattering operator gives the field scattered by the obstacle due to an exciting field incident on the scatterer. The reflection operator gives the field reflected by the rough surface due to an exciting field incident on the rough surface. We apply this general theory for the special case of point scatterers and a slightly rough surface with homogeneous Dirichlet and Neumann boundary conditions. We show examples that demonstrate the utility of this theory.

© 2010 Optical Society of America

OCIS Codes
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(290.5880) Scattering : Scattering, rough surfaces
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: January 7, 2010
Revised Manuscript: March 1, 2010
Manuscript Accepted: March 1, 2010
Published: April 7, 2010

Virtual Issues
Vol. 5, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Maureen Long, Michelle Khine, and Arnold D. Kim, "Scattering of light by molecules over a rough surface," J. Opt. Soc. Am. A 27, 1002-1011 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1002


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