TY - JOUR
T1 - Determination of Random Periodic Structures in Transverse Magnetic Polarization
AU - Gang , Bao
AU - Lin , Yiwen
JO - Communications in Mathematical Research 
VL - 3
SP - 271
EP - 296
PY - 2021
DA - 2021/06
SN - 37
DO - http://doi.org/10.4208/cmr.2021-0003
UR - https://global-sci.org/intro/article_detail/cmr/19263.html
KW - Random periodic structure, inverse scattering, Karhunen-Loève expansion,
Monte Carlo-continuation-uncertainty quantification method.
AB - <p style="text-align: justify;">Consider an inverse problem that aims to identify key statistical properties of the profile for the unknown random perfectly conducting grating
structure by boundary measurements of the diffracted fields in transverse magnetic polarization. The method proposed in this paper is based on a novel
combination of the Monte Carlo technique, a continuation method and the
Karhunen-Loève expansion for the uncertainty quantification of the random
structure. Numerical results are presented to demonstrate the effectiveness of
the proposed method.</p>