Full-wave analysis of circular guiding structures using the finite difference frequency domain method

Abstract

In this article, a general full-wave two dimensional finite difference frequency domain (2D-FDFD) method is presented that could be used to analyze general circular multi-layered multi-conductor guiding structures. The FDFD method is mainly used to get the dispersion curves for these structures. The results which are obtained using the FDFD equations come through solving an eigen-value problem, where the obtained eigen-values and eigen-vectors are used to produce the propagation constants, distribution of the fields and the characteristic impedances for these structures. Several examples ranging from simple coaxial lines to coupled circular microstrip lines are presented. The FDFD results are compared with those obtained through other analytical and numerical techniques.

Full-wave analysis of azimuthally magnetized ferrite-loaded circular structures using the one-dimensional finite difference frequency domain method

“…According to the compact 1D grid in Figure 3, and starting from Maxwell's equations in (3) and (4) and substituting for both [e r ] and [l r ], and using interpolation to avoid the problem of coupling between H q and H z that results from applying the static magnetic field, 1D-FDFD equations can be derived [27], and are given as follows:…”

“…Using (12) again to derive H z at the outer conductor boundary with respect to all boundary conditions and using (13) to substitute for H q give a new H z FDFD equation at this outer conductor [27]. Finally, a complete system of 1D-FDFD equations for both the ferrite and conductors parts of the circular guiding structures is ready to be solved.…”