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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 6 — Jun. 1, 2010
  • pp: 1404–1412

Improved spherical wave least squares method for analyzing periodic arrays of spheres

Huan Xie and Ya Yan Lu  »View Author Affiliations

JOSA A, Vol. 27, Issue 6, pp. 1404-1412 (2010)

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For analyzing plane wave scattering from a multilayer periodic structure where each layer consists of a two-dimensional periodic array of spheres, a spherical wave least squares method is developed which extends and improves the earlier work by Matsushima et al. [PIER 69, 305 (2007)] . A number of techniques are used to speed up the method and to reduce the memory requirement. Spherical wave expansions are used in one unit cell containing a sphere in each layer, and quasi-periodic conditions are imposed on lateral surfaces of the unit cell in the least squares sense. Unlike the layer-Korringa–Kohn–Rostoker method [ Physica A 141, 575 (1987) ], the method does not need lattice sums and it is relatively simple to implement.

© 2010 Optical Society of America

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

ToC Category:
Diffraction and Gratings

Original Manuscript: February 10, 2010
Manuscript Accepted: April 23, 2010
Published: May 21, 2010

Huan Xie and Ya Yan Lu, "Improved spherical wave least squares method for analyzing periodic arrays of spheres," J. Opt. Soc. Am. A 27, 1404-1412 (2010)

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