The Maxwell curl postulates have been analyzed for propagation in the vertical microstructurally signif cant plane of a periodically bent nematic (PBN) medium. The ordinary modes are unaffected by the anisotropy and the periodic inhomogeneity of the PBN medium, but the extraordinary modes are. Simple expressions, applicable for small anisotropy parameters, have been found. ABSTRACT Numerical analysis for computing resonant frequencies of uniaxially anisotropic cylindrical resonators is presented. The resonator is placed on a grounded isotropic substrate and is couered with a metallic tuning plate. The generalized impedance boundary conditions are employed along the axis of the resonator to simplify the boundary-calue problem. Ample numerical results are presented, explicitly showing the dependence of the resonant frequency on the variation in the elements of the permitticity tensor. 0 1996 John Wilqy & Sons, Inc.