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

Roth, Thomas E

Permalink

https://hdl.handle.net/2142/97346 Copy

Description

Title

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

Author(s)

Roth, Thomas E

Issue Date

2017-04-13

Director of Research (if dissertation) or Advisor (if thesis)

Chew, Weng Cho

Department of Study

Electrical & Computer Eng

Discipline

Electrical & Computer Engr

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(s)

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

Abstract

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.

Graduation Semester

2017-05

Type of Resource

text

Permalink

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

Copyright and License Information

Copyright 2017 Thomas E. Roth

Owning Collections