Direct derivations of TLM symmetrical condensed node and hybrid symmetrical condensed node from Maxwell´s equations using centered differencing and averaging

Author

Jin, Hang ; Vahldieck, Rudiger

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

42

Issue

12

fYear

1994

fDate

12/1/1994 12:00:00 AM

Firstpage

2554

Lastpage

2561

Abstract

This paper presented direct derivations of the TLM symmetrical condensed node (SCN) and hybrid symmetrical condensed node (HSCN) from Maxwell´s equations by using centered differencing and averaging. Direct correspondence between the TLM and finite difference method is established. The node scattering matrices and field expressions are given for the general case with graded mesh and anisotropic materials including both electric and magnetic losses. It is found that the TLM SCN and HSCN always have 2nd-order accuracy regardless of a uniform or graded mesh discretization of the space

Keywords

Maxwell equations; S-matrix theory; finite difference methods; losses; transmission line matrix methods; Maxwell equations; TLM symmetrical condensed node; anisotropic materials; averaging; centered differencing; electric losses; field expressions; finite difference method; graded mesh; hybrid symmetrical condensed node; magnetic losses; node scattering matrices; Anisotropic magnetoresistance; Difference equations; Finite difference methods; Light scattering; Magnetic anisotropy; Magnetic losses; Maxwell equations; Perpendicular magnetic anisotropy; Symmetric matrices; Transmission line matrix methods;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.339796

Filename

339796