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Hamiltonian Analysis and Dual Vector Spectral Elements for 2D Maxwell Eigenproblems
Published online by Cambridge University Press: 07 February 2017
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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- Copyright © Global-Science Press 2017