A stochastic FDTD approach for assessing random media uncertainties in polar coordinates

Deterministic schemes are usually unable to predict random media uncertainties and as a result produce unreliable outcomes in this kind of problems. In this work, we present a novel finite difference time domain (FDTD) technique that manages to calculate the statistics of the involved field quantities, considering that the variability of random media is known. The proposed method is applied in polar grids and can efficiently deal with such cases in a single realization. Comparisons with the Monte Carlo method show that reliable results may be obtained, thus making our proposed technique much more faster.