Development of provably stable A-phi formulation time domain integral equations

Applications involving quantum physics are becoming an increasingly important area for electromagnetic engineering. To address practical problems in these emerging areas, appropriate numerical techniques must be utilized. However, the unique needs of many of these applications require the development of new computational electromagnetic solvers. The A-Phi formulation is a novel approach that can address many of these needs. This formulation utilizes equations developed in terms of the magnetic vector potential (A) and electric scalar potential (Phi). The resulting equations overcome many of the limitations of traditional solvers and are ideal for coupling to quantum mechanical calculations. The main novelty of this thesis is the extension of the A-Phi formulation to two sets of time domain integral equations. These integral equations are provably stable and constitute robust numerical techniques that can be utilized in many applications. To validate the proposed time domain integral equations, numerical results are presented which demonstrate the stability and accuracy of the developed methods.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2017

Author dc:creator

• Roth, Thomas E

Contributors dc:contributor

• Chew, Weng Cho

• Computational electromagnetics
• Time domain integral equations
• Low frequency
• Multiscale

Statement dc:rights

• Copyright 2017 Thomas E. Roth

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/97346

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/97346