Yee´s macrocells in three dimensions

Author

Kulas, Tukasz ; Mrozowski, Michal

Author_Institution

Dept. of Electron., Telecommun. & Informatics, Gdansk Univ. of Technol., Poland

Volume

3

fYear

2004

fDate

6-11 June 2004

Firstpage

1717

Abstract

A concept of Yee´s macrocells in three dimensions is introduced. The macrocell is a reduced order model of Maxwell´s grid equation written for densely subgridded volume slightly larger than a regular Yee´s cell. Problems related to cubic growth of the number of variables and orthogonality loss during the model order reduction process are addressed. It is shown that 3D Yee´s macrocells with high refinement factors can be constructed in seconds. Numerical tests show that macrocells can significantly improve the accuracy at a cost much lower than for subgridding or graded meshing.

Keywords

Maxwell equations; computational geometry; finite difference methods; finite difference time-domain analysis; frequency-domain analysis; reduced order systems; 3D Yee macrocells; Maxwell grid equation; cubic growth; densely subgridded volume; finite difference methods; frequency domain analysis; graded meshing; numerical tests; orthogonality loss; reduced order model; refinement factors; Convergence; Costs; Finite difference methods; Informatics; Interpolation; Macrocell networks; Maxwell equations; Reduced order systems; Symmetric matrices; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Symposium Digest, 2004 IEEE MTT-S International

ISSN

0149-645X

Print_ISBN

0-7803-8331-1

Type

conf

DOI

10.1109/MWSYM.2004.1338924

Filename

1338924