Calculation of complex shapes in the Fourier modal method through the concept of coordinate transformations

Autor:	T. Weiss, G. Granet, N. A. Gippius, S. G. Tikhodeev, H. Giessen, Dmitry N. Chigrin
Rok vydání:	2009
Předmět:	symbols.namesake Curvilinear coordinates Fourier transform Paraboloidal coordinates Mathematical analysis Coordinate system symbols Geometry Coordinate space Ellipsoidal coordinates Elliptic cylindrical coordinates Elliptic coordinate system Mathematics
Zdroj:	AIP Conference Proceedings.
DOI:	10.1063/1.3253900
Popis:	In a recent publication [1] we showed that complex shapes can be calculated efficiently in the Fourier modal method (FMM) through the concept of coordinate transformations. The new coordinate system has to be aligned in such a way that the lines of constant coordinates match the interfaces. Thus, the approach of adaptive spatial resolution (ASR) can be included easily to increase the convergence in the case of metallic materials and to simplify the derivation of appropriate coordinate systems. We are going to present the fundamental ideas of the method and show our latest examples of coordinate transformations to match such common structures as cylinders, triangles, and rotated squares.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4c988869104e65766b0a255423235fa9 https://doi.org/10.1063/1.3253900 Zobrazit plný text záznamu