Title :
Solution of BVPs in electrodynamics by stochastic methods
Author_Institution :
Dept. of Electr.&Comput. Eng., Univ. of Massachusetts, Amherst, MA
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;
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
DOI :
10.1109/AEMC.2007.4638046
