Rd. Graglia et al., TE AND TM MODES IN CYLINDRICAL METALLIC STRUCTURES FILLED WITH BIANISOTROPIC MATERIAL, IEEE transactions on microwave theory and techniques, 44(8), 1996, pp. 1470-1477
Modal propagation is studied for metallic circular waveguides, coaxial
cables and sectoral waveguides filled with linear bianisotropic mater
ial, By representing the material constitutive tensors in cylindrical
coordinates, the conditions under which TE and TM modal decoupling occ
urs are obtained, and second-order differential equations for the long
itudinal field components are derived, Though the TE and TM longitudin
al field components are expressible in terms of hypergeometric functio
ns, a complete numerical solution scheme is, in general, more convenie
nt, Conventional application of finite elements renders the differenti
al problem numerically equivalent to a generalized eigenvalue matrix p
roblem, whose solution yields the dispersion relation and cutoff frequ
encies of the waveguides together with the eigenfields expression, The
effects one can obtain by varying the various coefficients of the con
stitutive tensors are illustrated by several numerical results.