Multilevel Green's function interpolation method for analysis of 3-D frequency selective structures using volume/surface integral equation

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)308-318
Journal / PublicationJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume27
Issue number2
Publication statusPublished - 1 Feb 2010

Abstract

In this paper, we present the multilevel Green's function interpolation method (MLGFIM) for analyses of three-dimensional doubly periodic structures consisting of dielectric media and conducting objects. The volume integral equation (VIE) and surface integral equation (SIE) are adopted, respectively, for the inhomogeneous dielectric and conducting objects in a unit cell. Conformal basis functions defined on curvilinear hexahedron and quadrilateral elements are used to solve the volume/surface integral equation (VSIE). Periodic boundary conditions are introduced at the boundaries of the unit cell. Computation of the space-domain Green's function is accelerated by means of Ewald's transformation. A periodic octary-cube-tree scheme is developed to allow adaptation of the MLGFIM for analyses of doubly periodic structures. The proposed algorithm is first validated by comparison with published data in the open literature. More complex periodic structures, such as dielectric coated conducting shells, folded dielectric structures, photonic bandgap structures, and split ring resonators (SRRs), are then simulated to illustrate that the MLGFIM has a computational complexity of ON when applied to periodic structures. © 2010 Optical Society of America.

Citation Format(s)

Multilevel Green's function interpolation method for analysis of 3-D frequency selective structures using volume/surface integral equation. / Shi, Yan; Chan, Chi Hou.
In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 27, No. 2, 01.02.2010, p. 308-318.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review