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
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)