Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-02-01

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Included Journals: SCIE

Volume: 21

Issue: 2

Page Number: 515-525

ISSN: 1815-2406

Key Words: Maxwell eigenproblem; Hamiltonian system; symplectic eigenvalue analysis; dual variables; spectral element method

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.