FDTD Method on a Lebedev Grid for Anisotropic Materials

Autor:	M. D. Nauta, Michal Okoniewski, M. E. Potter
Rok vydání:	2013
Předmět:	Field (physics) Wave propagation Dispersion relation Mathematical analysis Finite-difference time-domain method Geometry Electrical and Electronic Engineering Classification of discontinuities Grid Stencil Mathematics Lebedev quadrature
Zdroj:	IEEE Transactions on Antennas and Propagation. 61:3161-3171
ISSN:	1558-2221 0018-926X
Popis:	The finite-difference time-domain method is derived on a Lebedev grid for lossy anisotropic media. The Lebedev grid uses collocated field components and supports spurious solutions but an intuitive method for removing the extra solutions is presented. Update equations at material discontinuities and metal planes are derived and shown to take the same form as updates in bulk media. Additionally, a dispersion relation and stability criteria are presented. A numerical comparison with the Yee grid shows that the Lebedev grid suffers from greater numerical dispersion but better represents material discontinuities when compared using equal memory requirements. Furthermore, the small stencil on the Lebedev grid decreases the required number of calls to memory and simplifies the programming structure.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::15fa5dd75a6d0dceba830b49f9cea42d https://doi.org/10.1109/tap.2013.2247373 Zobrazit plný text záznamu