On the Efficient and Accurate Application of Partial Differential Equation Solvers of Maxwell's Equations in the Time Domain

A new field/voltage relation for use with the symmetric condensed node transmission line matrix (TLM) method is introduced. It is found that there is no rigorous mathematical proof which demonstrates the consistency and convergence of the symmetric condensed node TLM method under the field/voltage relation originally introduced. It is proposed that other field/voltage relations may exist which may be more consistent with Maxwell's equations and more accurate than the previous relation. The new field/voltage relation given is derived qualitatively by comparing the symmetric condensed node TLM algorithm with the Yee algorithm. It is demonstrated numerically that this new relation eliminates nonphysical spurious oscillations introduced by the conventionally used field/voltage relation near the source region.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Aoyagi, Paul Hiroshi

Contributors dc:contributor

• Mittra, Raj

• Mathematics
• Engineering, Electronics and Electrical
• Physics, Acoustics

Identifier

(UMI)AAI9305453

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/71973