Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks
Document Type
Article
Publication Date
1-5-2018
Publication Title
Siam Journal on Numerical Analysis
Volume
56
Issue
1
First page number:
136
Last page number:
159
Abstract
In this paper we establish the explicit expression for two-dimensional (2D) electromagnetic cloaks of arbitrary star shapes without explicit contour expressions of the objects. Furthermore, 2D arbitrary star-shaped time domain cloak models are developed. A new finite element time domain (FETD) scheme is developed to solve the governing equations, and its stability is also proved. Numerical results are presented to confirm our theoretical analysis of the cloak models and the effectiveness of our FETD method. To our best knowledge, this is the first time domain finite element simulation of arbitrary star-shaped cloaks.
Keywords
Maxwell's equations; Finite element time domain method; Edge element; Invisibility cloak
Disciplines
Physical Sciences and Mathematics
Repository Citation
Yang, W.,
Li, J.,
Huang, Y.
(2018).
Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks.
Siam Journal on Numerical Analysis, 56(1),
136-159.
http://dx.doi.org/10.1137/16M1093835