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Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems

Published online by Cambridge University Press:  07 February 2017

Hongwei Yang*
Affiliation:
College of Applied Sciences, Beijing University of Technology, Beijing 100124, P.R. China
Bao Zhu*
Affiliation:
School of Materials Science and Engineering, Dalian University of Technology, Dalian, Liaoning 116023, P.R. China
Jiefu Chen*
Affiliation:
Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77004, USA
*
*Corresponding author.Email addresses:yanghongwei@bjut.edu.cn (H. Yang), bzhu@dlut.edu.cn (B. Zhu), jchen84@uh.edu (J. Chen)
*Corresponding author.Email addresses:yanghongwei@bjut.edu.cn (H. Yang), bzhu@dlut.edu.cn (B. Zhu), jchen84@uh.edu (J. Chen)
*Corresponding author.Email addresses:yanghongwei@bjut.edu.cn (H. Yang), bzhu@dlut.edu.cn (B. Zhu), jchen84@uh.edu (J. Chen)
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Abstract

The 2D Maxwell eigenproblems are studied from a new point of view. An electromagnetic problem is cast from the Lagrangian system with single variable into the Hamiltonian system with dual variables. The electric and magnetic components transverse to the wave propagation direction are treated as dual variables to each other. Higher order curl-conforming and divergence-conforming vector basis functions are used to construct dual vector spectral elements. Numerical examples demonstrate some unique advantages of the proposed method.

Type
Research Article
Copyright
Copyright © Global-Science Press 2017 

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