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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. 28, Iss. 6 — Jun. 1, 2011
  • pp: 1022–1031

Hybrid finite-element-boundary integral algorithm to solve the problem of scattering from a finite and infinite array of cavities with stratified dielectric coating

Babak Alavikia and Omar M. Ramahi  »View Author Affiliations


JOSA A, Vol. 28, Issue 6, pp. 1022-1031 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001022


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Abstract

This work presents a hybrid finite-element-boundary integral algorithm to solve the problem of scattering from a finite and infinite array of two-dimensional cavities engraved in a perfectly electric conducting screen covered with a stratified dielectric layer. The solution region is divided into interior regions containing the cavities and the region exterior to the cavities. The finite-element formulation is applied only inside the interior regions to derive a linear system of equations associated with unknown field values. Using a two-boundary formulation, the surface integral equation employing the grounded dielectric slab Green’s function in the spatial domain is applied at the opening of the cavities as a boundary constraint to truncate the solution region. Placing the truncation boundary at the opening of the cavities and inside the dielectric layer results in a highly efficient solution in terms of computational resources, which makes the algorithm well suited for the optimization problems involving scattering from grating surfaces. The near fields are generated for an array of cavities with different dimensions and inhomogeneous fillings covered with dielectric layers.

© 2011 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(290.0290) Scattering : Scattering
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Scattering

History
Original Manuscript: February 23, 2011
Revised Manuscript: March 15, 2011
Manuscript Accepted: March 31, 2011
Published: May 16, 2011

Citation
Babak Alavikia and Omar M. Ramahi, "Hybrid finite-element-boundary integral algorithm to solve the problem of scattering from a finite and infinite array of cavities with stratified dielectric coating," J. Opt. Soc. Am. A 28, 1022-1031 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-1022

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