Stochastic FDTD for Analysis of Statistical Variation in Electromagnetic Fields

Author

Smith, Steven M. ; Furse, Cynthia

Author_Institution

L3 Commun., Salt Lake City, UT, USA

Volume

60

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

3343

Lastpage

3350

Abstract

This paper describes a new stochastic finite difference time domain (S-FDTD) method for calculating the variance in the electromagnetic fields caused by variability or uncertainty in the electrical properties of the materials in the model. Details of the 1D derivation using truncated Taylor series approximations are given. The S-FDTD analysis is then compared to Monte Carlo analysis for a 1D bioelectromagnetic example. The accuracy of the method is controlled by the approximations for the cross correlations of the fields and electrical properties. In this paper, we are able to bound the variance using cross correlations of 1 (overestimate) and the reflection coefficient (underestimate).

Keywords

Monte Carlo methods; approximation theory; electromagnetic field theory; finite difference time-domain analysis; statistical analysis; stochastic processes; 1D bioelectromagnetic; 1D derivation; Monte Carlo analysis; S-FDTD analysis; electrical property uncertainty; electromagnetic fields; field cross correlations; reflection coefficient; statistical variation analysis; stochastic FDTD method; stochastic finite difference time domain method; truncated Taylor series approximations; Approximation methods; Correlation; Equations; Finite difference methods; Mathematical model; Monte Carlo methods; Time domain analysis; Delta method; Monte Carlo; finite-difference time-domain (FDTD); statistics; stochastic FDTD (S-FDTD); variance;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2012.2196962

Filename

6193136