Variability on the Propagation of a Plane Wave Using Stochastic Collocation Methods in a Bio Electromagnetic Application

In this letter, the uncertainties on the angles of propagation of a plane wave in a bio electromagnetic application are studied using two non intrusive stochastic collocation methods. The proposed techniques are used in this application, which employs a finite-difference time-domain scheme, but they can be used when applying other kinds of methods without modifying programs. The results obtained using the two approaches are compared. The stochastic collocation methods are used to determine the influence of the uncertainty on the angle of propagation of a plane wave on the obtained specific absorption rate. Global sensitivity is analyzed.

[1]  R. Ghanem,et al.  Stochastic Finite Elements: A Spectral Approach , 1990 .

[2]  Dongbin Xiu,et al.  The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations , 2002, SIAM J. Sci. Comput..

[3]  Dongbin Xiu,et al.  High-Order Collocation Methods for Differential Equations with Random Inputs , 2005, SIAM J. Sci. Comput..

[4]  Jan S. Hesthaven,et al.  Computational modeling of uncertainty in time-domain electromagnetics , 2005, Workshop on Computational Electromagnetics in Time-Domain, 2005. CEM-TD 2005..