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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. 29, Iss. 9 — Sep. 1, 2012
  • pp: 1999–2004

Improved Dirichlet-to-Neumann map method for scattering by circular cylinders on a lattice

Shichang She and Ya Yan Lu  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 1999-2004 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001999


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Abstract

A simple model for two-dimensional photonic crystal devices consists of a finite number of possibly different circular cylinders centered on lattice points of a square or triangular lattice and surrounded by a homogeneous or layered background medium. The Dirichlet-to-Neumann (DtN) map method is a special method for analyzing the scattering of an incident wave by such a structure. It is more efficient than existing numerical or semianalytic methods, such as the finite element method and the multipole method, since it takes advantage of the underlying lattice structure and the simple geometry of the unit cells. The DtN map of a unit cell is a relation between a wave field component and its normal derivative on the cell boundary, and it can be used to avoid further computation inside the unit cell. In this paper, an improved DtN map method is developed by constructing special DtN maps for boundary and corner unit cells using the method of fictitious sources.

© 2012 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(290.4210) Scattering : Multiple scattering
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Scattering

History
Original Manuscript: May 15, 2012
Revised Manuscript: July 17, 2012
Manuscript Accepted: July 18, 2012
Published: August 30, 2012

Citation
Shichang She and Ya Yan Lu, "Improved Dirichlet-to-Neumann map method for scattering by circular cylinders on a lattice," J. Opt. Soc. Am. A 29, 1999-2004 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1999


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