Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems. (7th February 2017)

• Record Type: Journal Article
• Authors: Yang, Hongwei; Zhu, Bao; Chen, Jiefu
• Is Part Of: Communications in computational physics. Volume 21:Number 2(2017:Feb.)
• Page Start: 515
• Page End: 525
• Publication Date: 2017-02-07
• Subjects: 35Q61, -- 65P10, -- 65N30, -- 65N25; Maxwell eigenproblem, -- Hamiltonian system, -- symplectic eigenvalue analysis, -- dual variables, -- spectral element method; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0010
• Languages: English
• ISSNs: 1815-2406

Abstract

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.