Solution of BVPs in electrodynamics by stochastic methods

Author

Janaswamy, R.

Author_Institution

Dept. of Electr.&Comput. Eng., Univ. of Massachusetts, Amherst, MA

fYear

2007

fDate

19-20 Dec. 2007

Firstpage

1

Lastpage

4

Abstract

Field computation by the stochastic differential equation (SDE) method is demonstrated for electrostatic and electrodynamic propagation problems by considering simple examples. The solution to the inhomogeneous Helmholtz equation is first related to that a Schrodinger type of equation (parabolic in nature) by means of Laplace transformation. The SDE method is directly applied to this parabolic equation. Presence of the imaginary term in the parabolic equation warrants analytic continuation into the complex space that is addressed in this paper.

Keywords

Helmholtz equations; Laplace transforms; Schrodinger equation; boundary-value problems; computational electromagnetics; differential equations; electrodynamics; electromagnetic wave propagation; parabolic equations; stochastic processes; BVP; Laplace transformation; SDE method; Schrodinger equation; electrodynamic propagation problems; electrostatic propagation problems; inhomogeneous Helmholtz equation; parabolic equation; stochastic differential equation method; Concurrent computing; Differential equations; Discrete wavelet transforms; Electrodynamics; Electrostatics; Image analysis; Indium tin oxide; Laplace equations; Nonuniform electric fields; Stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

Applied Electromagnetics Conference, 2007. AEMC 2007. IEEE

Conference_Location

Kolkata

Print_ISBN

978-1-4244-1863-3

Electronic_ISBN

978-1-4244-1864-0

Type

conf

DOI

10.1109/AEMC.2007.4638046

Filename

4638046