Efficient finite element method for grating profile reconstruction
Document Type
Article
Publication Date
12-1-2015
Abstract
© 2015 Elsevier Inc.. This paper concerns the reconstruction of grating profiles from scattering data. The inverse problem is formulated as an optimization problem with a regularization term. We devise an efficient finite element method (FEM) and employ a quasi-Newton method to solve it. For the direct problems, the FEM stiff and mass matrices are assembled once at the beginning of the numerical procedure. Then only minor changes are made to the mass matrix at each iteration, which significantly saves the computation cost. Numerical examples show that the method is effective and robust.
Publication Title
Journal of Computational Physics
Recommended Citation
Zhang, R.,
&
Sun, J.
(2015).
Efficient finite element method for grating profile reconstruction.
Journal of Computational Physics,
302, 405-419.
http://doi.org/10.1016/j.jcp.2015.09.016
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6668