TY - JOUR
T1 - An Efficient Monte Carlo-Transformed Field Expansion Method for Electromagnetic Wave Scattering by Random Rough Surfaces
JO - Communications in Computational Physics
VL - 3
SP - 685
EP - 705
PY - 2018
DA - 2018/03
SN - 23
DO - http://doi.org/10.4208/cicp.OA-2017-0041
UR - https://global-sci.org/intro/article_detail/cicp/10544.html
KW - Computational electromagnetic methods, random rough surface, Monte Carol method, spectral method.
AB - <p style="text-align: justify;">This paper develops an efficient and accurate numerical method for the
computation of electromagnetic waves scattered by random rough surfaces. The
method is based upon a combination of the Transformed Field Expansion method,
which represents the solution as a provably convergent power series, and the Monte
Carlo technique for sampling the probability space. The compelling aspect of the proposed
method is that, at each perturbation order and every sample, the governing
Transformed Field Expansion equations share the same deterministic Helmholtz operator
on a deterministic domain. Thus, an LU factorization of the matrix discretization
of this single operator can be employed repeatedly for all orders and every sample.
Consequently, the computational complexity of the whole algorithm is significantly
reduced as a result. Numerical examples are described which demonstrate the accuracy
of the algorithm.</p>