TY - JFULL
AU - António L. Topa
PY - 2012/9/
TI - Linear-Operator Formalism in the Analysis of Omega Planar Layered Waveguides
T2 - International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
SP - 1059
EP - 1065
EM - antonio.topa@lx.it.pt
VL - 6
SN - 1307-6892
UR - http://waset.org/publications/464
PU - World Academy of Science, Engineering and Technology
NX - International Science Index 68, 2012
N2 - A complete spectral representation for the
electromagnetic field of planar multilayered waveguides
inhomogeneously filled with omega media is presented. The problem
of guided electromagnetic propagation is reduced to an eigenvalue
equation related to a 2 ´ 2 matrix differential operator. Using the
concept of adjoint waveguide, general bi-orthogonality relations for
the hybrid modes (either from the discrete or from the continuous
spectrum) are derived. For the special case of homogeneous layers
the linear operator formalism is reduced to a simple 2 ´ 2 coupling
matrix eigenvalue problem. Finally, as an example of application, the
surface and the radiation modes of a grounded omega slab waveguide
are analyzed.
ER -