Theory of the symmetrical super-condensed node for the TLM method

Application of orthogonal curvilinear meshes with SSCN nodes to the TLM method

“…* A cavity with two layers of dielectric which was analysed in Reference [8] using nonuniform Cartesian meshes. * A cavity with one layer of dielectric in the middle which was analysed in Reference [2] using uniform Cartesian meshes.…”

“…The input node is taken in one layer of dielectric whereas the output node is taken in the other layer. The resonant frequency of the dominant mode, ðTE 110 Þ had been evaluated and results for different mesh arrangements (both uniform, uniformly graded and non-uniformly graded) have been tabulated by Trenkic et al [8]. The results for Cartesian uniform (CU) were confirmed and are reproduced in Table I (marked by an asterisk).…”

“…Specifically, the symmetrical super condensed node (SSCN) is a particularly efficient TLM implementation which has been used in conjunction with non-uniform Cartesian meshes, and in general yields good results [8]. In this paper, orthogonal curvilinear meshes are used in conjunction with the symmetrical supercondensed node in TLM to calculate the resonant frequency in some practical electromagnetic field problems.…”

“…Each two adjacent lines have the same characteristic impedance. The notation shown in Figure 2, is as defined by Trenkic et al [8] and was generally used except where it needed to be adapted to take account of the peculiarities of curvilinear meshes.…”

Extended PML‐TLM node: an efficient approach for full‐wave analysis of open structures

“…where C GH are the classical SSCN capacitances [16] and XW a new coe$cient being a function of W and de"ned in a general form in the appendix. Finally, TLM expressions of these new schemes can be found in the appendix.…”