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论文类型：期刊论文

发表时间：2017-02-01

发表刊物：COMMUNICATIONS IN COMPUTATIONAL PHYSICS

收录刊物：SCIE

卷号：21

期号：2

页面范围：515-525

ISSN号：1815-2406

关键字：Maxwell eigenproblem; Hamiltonian system; symplectic eigenvalue analysis; dual variables; spectral element method

摘要：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.