Reconstruction of a penetrable obstacle in periodic waveguides
Document Type
Article
Publication Date
12-1-2017
Department
Department of Mathematical Sciences
Abstract
The reconstruction of a penetrable obstacle embedded in a periodic waveguide is a challenging problem. In this paper, the inverse problem is formulated as an optimization problem. We prove some properties of the scattering operator and propose an iterative scheme to approximate the support of the obstacle. Using the limiting absorption principle and a recursive doubling technique, we implement a fast algorithm based on a carefully designed finite element method for the forward scattering problem. Numerical examples validate the effectiveness of the method.
Publication Title
Computers and Mathematics with Applications
Recommended Citation
Zhang, R.,
Sun, J.,
&
Zheng, C.
(2017).
Reconstruction of a penetrable obstacle in periodic waveguides.
Computers and Mathematics with Applications,
74(11), 2739-2751.
http://doi.org/10.1016/j.camwa.2017.08.028
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6075