Volume 21, Issue 2
Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems

Hongwei Yang, Bao Zhu & Jiefu Chen

Commun. Comput. Phys., 21 (2017), pp. 515-525.

Published online: 2018-04

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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.

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@Article{CiCP-21-515, author = {}, title = {Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {2}, pages = {515--525}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0010}, url = {http://global-sci.org/intro/article_detail/cicp/11248.html} }
TY - JOUR T1 - Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems JO - Communications in Computational Physics VL - 2 SP - 515 EP - 525 PY - 2018 DA - 2018/04 SN - 21 DO - http://doi.org/10.4208/cicp.OA-2016-0010 UR - https://global-sci.org/intro/article_detail/cicp/11248.html KW - AB -

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.

Hongwei Yang, Bao Zhu & Jiefu Chen. (2020). Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems. Communications in Computational Physics. 21 (2). 515-525. doi:10.4208/cicp.OA-2016-0010
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