Accuracy of TLM solutions of Maxwell´s equations

Author

De Menezes, Leonardo R A X ; Hoefer, Wolfgang J R

Author_Institution

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

Volume

44

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

2512

Lastpage

2518

Abstract

This work investigates the physical origin of the coarseness and dispersion errors influencing TLM solutions of Maxwell´s equations. The study is performed by solving the difference equations of the numerical method analytically. The results confirm a reduction of the accuracy of the discrete solution near field singularities. This effect is a consequence of the finite number of spatial modes supported by the disrupted domain. The solution of partially filled waveguide is also investigated. The results show that TLM can have positive or negative dispersion, depending on the dielectric filling, excited mode and the geometry. These results are also valid for the finite difference time domain method (FDTD)

Keywords

Maxwell equations; dielectric-loaded waveguides; difference equations; dispersion (wave); finite difference time-domain analysis; transmission line matrix methods; waveguide theory; Maxwell´s equations; TLM solutions; difference equations; discrete solution; dispersion errors; disrupted domain; excited mode; field singularities; finite difference time domain method; geometry; partially filled waveguide; spatial modes; Computer errors; Dielectrics; Difference equations; Filling; Finite difference methods; Maxwell equations; Performance analysis; Sampling methods; Time domain analysis; Waveguide components;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.554589

Filename

554589