Implementation of the periodic boundary condition in the finite-difference time-domain algorithm for FSS structures

Time-Domain Modeling of Nonlinear Optical Structures With Extended Stability FDTD Schemes

“…Substituting the field values in (17a) using (17b), as well as those of the polarization currents from the expressions derived in the previous section, the following update equation is derived: (18) The coefficients indicated in (18) are as follows: (19) Equation (18) is converted into a tridiagonal system with respect to the electric field nodal values at time step throughout the grid, with system matrix . .…”

“…To characterize the dispersion of the corresponding infinite periodic structure in the linear regime, one unit cell with both layers chosen to be linear, i.e., , is analyzed using periodic boundary conditions, implemented via the sine-cosine method [19]. Fig.…”

Analysis of Light Leakage in Liquid-Crystal Devices with In-Plane Switching Electrodes

“…The transverse termination is provided by imposing periodic boundary conditions (PBC). In the practical implementation of the PBC, the sin-cos dual plane-wave excitation (dual-time source) is developed in (12) , where the enforcement of the phase shift due to the periodicity is made straightforward.…”

Synthesis of Planar EBG Structures Based on Genetic Programming

“…Various techniques have been proposed in literature in order to analyze frequency selective surfaces (FSS) (Bardi et al, 2002;Bozzi & Perregrini, 1999;Harms et al, 1994;Mittra et al, 1988;Wu, 1995). The standard method of moments (MoM) approach is based on the induced electric currents on the FSS but it can be prohibitively costly from a computational point of view, if not even impractical in some cases, and this could explain why MoM is so unpopular.…”