Fast numerical analysis of dielectric resonators with perturbed rotational symmetry

Abstract

A fast finite difference frequency domain (FDFD) formulation for obtaining resonant frequencies of structures with perturbed rotational symmetry is described. The formulation combines a three-dimensional (3-D) eigenfunction function expansion algorithm with 3-D FDFD in the cylindrical coordinate system. Numerical tests have showed that the technique gives high accuracy results and significant CPU time reduction.

Approximate analytical boundary conditions for efficient finite difference frequency domain simulations in cylindrical coordinates

“…Narutowicza 11/12, 80-952, Gdafisk, Magnetic fields in this region are represented in a similar manner. The interface between Finite Difference region and PEE region is defined using inner product, as described in [8]. Since the variables are defined by the above expressions (1) the separation of modes is easy and straightforward, which is necessary to construct the boundary conditions.…”

Full-wave analysis and design of passive microwave and millimetre-wave devices based on dielectric-loaded cavity resonators

“…tric resonators in rectangular and cylindrical cavities [33,34], and inhomogeneously dielectric filled cavities [34], as well as structures containing asymmetrically located, partial-height or multilayer inhomogeneous cylindrical DRs [35]. A large variety of investigations about dielectric resonators using the Finite-Element method (FEM) [36][37][38][39][40] can be also found in the literature, as well as Finite Difference approaches in the time-domain (FDTD) [41][42][43][44] and in the frequency-domain (FDFD) [45]. Nevertheless, the use of this kind of segmentation methods to deal with these problems typically require high computational resources.…”

“…[30]. In Table 5.2, the results obtained with our method are compared with measurements and Mode Matching (MM) [30], Finite Difference Time-Domain (FDTD) [44] and Finite Difference Frequency-Domain (FDFD) [45] techniques. To calculate accurately the resonant frequencies by means of the state-space integral equation (SS-IE) approach, we have used 250 basis functions to expand the polarization vector, and 1000 resonant modes of the empty rectangular cavity in the kernel (to calculate the dyadic Green's function).…”

“…. 141 6.6 Electromagnetic response of the bandpass filter described in Table 6 [30], Finite Difference Time-Domain (FDTD) [44] and Finite Difference Frequency-Domain (FDFD) [45] techniques. .…”

“…A large variety of investigations about dielectric resonators using the Finite-Element method (FEM) [36][37][38][39][40] can be also found in the literature, as well as Finite Difference approaches in the time-domain (FDTD) [41][42][43][44] and in the frequency-domain (FDFD) [45]. Nevertheless, the use of this kind of segmentation 1.1 Motivation and state of the art 3 methods to deal with these problems typically require high computational resources.…”