Title :
A parasite-free non-orthogonal frequency-domain finite difference method for the electromagnetic analysis of anisotropic waveguides
Author :
Zhao, Li ; Cangellaris, Andreas
Author_Institution :
Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ, USA
fDate :
3/1/1997 12:00:00 AM
Abstract :
A methodology is presented for the development of a discrete vector eigenvalue problem for the dispersive analysis of inhomogeneous, anisotropic waveguiding structures. The methodology is based on the discretization of the the frequency-dependent Maxwell´s equations on a non-orthogonal grid using covariant and contravariant representation for the fields and a simple point-matching procedure. The occurrence of spurious modes is avoided by the direct enforcement of Gauss´ law in the development of the matrix eigenvalue problem. Results from the application of the proposed method to the dispersive analysis of planar, anisotropic microwave and optical waveguides compare favorably with published data obtained using alternative finite element formulations
Keywords :
Maxwell equations; covariance analysis; dielectric waveguides; dispersion (wave); eigenvalues and eigenfunctions; electromagnetic wave propagation; finite difference methods; frequency-domain analysis; planar waveguides; waveguide theory; Gauss law; anisotropic waveguides; contravariant representation; covariant representation; discrete vector eigenvalue problem; dispersive analysis; electromagnetic analysis; frequency-dependent Maxwell´s equations; frequency-domain finite difference method; inhomogeneous waveguides; matrix eigenvalue problem; microwave waveguides; non-orthogonal grid; optical waveguides; planar waveguides; point-matching procedure; Anisotropic magnetoresistance; Covariance matrix; Dispersion; Eigenvalues and eigenfunctions; Finite difference methods; Frequency domain analysis; Gaussian processes; Maxwell equations; Microwave theory and techniques; Transmission line matrix methods;
Journal_Title :
Magnetics, IEEE Transactions on
