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Transformation‐based metamaterials to eliminate the staircasing error in the finite difference time domain method
Author(s) -
Ozgun Ozlem,
Kuzuoglu Mustafa
Publication year - 2012
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.20642
Subject(s) - cartesian coordinate system , coordinate system , metamaterial , boundary (topology) , regular grid , transformation (genetics) , finite difference time domain method , mathematical analysis , transformation optics , finite difference method , grid , finite difference , domain (mathematical analysis) , subspace topology , fictitious domain method , geometry , computer science , physics , mathematics , optics , biochemistry , chemistry , gene
A coordinate transformation technique is introduced for the finite difference time domain method to alleviate the effects of errors introduced by the staircasing approximation of curved geometries that do not conform to a Cartesian grid. An anisotropic metamaterial region, which is adapted to the Cartesian grid and designed by the coordinate transformation technique, is constructed around the curved boundary of the object, and the region occupied between the curved boundary and the inner boundary of the anisotropic metamaterial layer is discarded. The technique is validated via several numerical simulations. © 2012 Wiley Periodicals, Inc. Int J RF and Microwave CAE 22:530–540, 2012.