Evaluation of a thin-slot formalism for finite-difference time-domain electromagnetics codes

Stable modelling of arbitrary thin slots in the finite‐element time‐domain method

“…In the capacitive thin slot formalism (C-TSF) developed by Gilbert and Holland [1] the slot is located in a perfectly conducting plane and is modelled by modifying the relative permittivity and relative permeability in the finite-difference time-domain (FDTD) algorithm for the electric and magnetic components in the slot. No inherent assumptions are made about the behaviour of the electric field within the slot and it has been shown that the C-TSF greatly underestimates the gap Contract/grant sponsor: The Swedish Research Council electric field [2]. Riley and Turner [3] have developed a more sophisticated hybrid thin slot algorithm (HTSA), where an integral equation is used to solve for the magnetic current in the slot and this current is then used to drive the FDTD grid.…”

A Hybrid Integral and Differential Equation Method Solution of Scattering of TM Excitation by Buried Inhomogeneous Cylinders

“…For decades, a lot of work was done in this area [1][2][3][4][5][6][7]. Recently, surface integral equation methods have been employed to determine the scattering by PEC cylinders near a planar media interface [8][9][10][11][12][13][14]. More recently, the investigation of scattering and radiation by a three-dimensional PEC object of arbitrary shape located in layered media has been completed by employing mixed potential integral equations [15,16].…”

A comparison of FDTD algorithms for subcellular modeling of slots in shielding enclosures

“…Both the C-TSF and HTSA methods were employed to model the slot. For the C-TSF, the relative permittivity is calculated using the coplanar strip capacitance formula [8] for the "in-cell" capacitance. Figure 4(a).…”

“…Two-dimensional C-TSF results for plane-wave scattering from a slot in an infinite conducting plane have been shown to agree well with MOM results. Typical discrepancies of less than 10% can be expected for the field quantities at the locations near but not in the slot region [8]. The Yee cells around a slot with its axis parallel to the Z-axis are shown in Figure 1.…”

“…The capacitance of the slot can be found using the capacitance for a coplanar strip which is given analytically by [8] or (9) where K() is the complete elliptic integral of the first kind and wg is the slot width. The integral equation based Hybrid Thin-Slot Algorithm (HTSA) is a sophisticated, and more complicated to implement thin-slot algorithm [2].…”