Efficient Cartesian-grid-based modeling of rotationally symmetric bodies

Axially symmetric waveguides, resonators, and scatterers of arbitrary cross section and anisotropy in the cross section can be modeled rigorously with use of 2-D Cartesian-grid-based codes by means of mere redefinition of material permittivity and permeability profiles. The method is illustrated by the frequency-domain simulations of resonant modes in a circular-cylinder cavity with perfectly conducting walls, a shielded uniaxial anisotropic dielectric cylinder, and an open dielectric sphere for which, after proper implementation of the perfectly matched layer boundary conditions, the radiation quality factor Q is also determined.