Title:
Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source

Thumbnail Image
Authors
Badieirostami, Majid
Adibi, Ali
Zhou, Hao-Min
Chow, Shui-Nee
Authors
Person
Person
Advisors
Advisors
Associated Organizations
Series
Supplementary to
Abstract
First, we propose a new stochastic model for a spatially incoherent source in optical phenomena. The model naturally incorporates the incoherent property into the electromagnetic wave equation through a random source term. Then we propose a new numerical method based on Wiener chaos expansion (WCE) and apply it to solve the resulting stochastic wave equation. The main advantage of the WCE method is that it separates random and deterministic effects and allows the random effects to be factored out of the primary partial differential equation (PDE) very effectively. Therefore, the stochastic PDE is reduced to a set of deterministic PDEs for the coefficients of the WCE method which can be solved by conventional numerical algorithms. We solve these secondary deterministic PDEs by a finite-difference time domain (FDTD) method and demonstrate that the numerical computations based on the WCE method are considerably more efficient than the brute-force simulations. Moreover, the WCE approach does not require generation of random numbers and results in less computational errors compared to Monte Carlo simulations.
Sponsor
Date Issued
2010
Extent
Resource Type
Text
Resource Subtype
Article
Rights Statement
Rights URI