Adapted finite-difference time-domain (FDTD) update equations exist for a number of objects that are smaller than the grid step, such as wires and thin slots. In this contribution we provide a technique that automatically generates new FDTD update equations for small objects. Our presentation will be focussed on 2-D-FDTD. We start from the FDTD equations in a fine grid where the time derivative...

The traditional finite-difference time-domain (FDTD) method is constrained by the Courant–Friedrich–Levy condition and suffers from notorious staircase error in electromagnetic simulations. This article proposes a 3-D conformal locally one-dimensional FDTD (CLOD-FDTD) to address two issues for modeling perfectly electrical conducting (PEC) objects. By considering partially filled cells, propose...

We introduce dispersion-relation-preserving (DRP) algorithms to minimize the numerical dispersion error in large-scale three-dimensional (3-D) finite-difference time-domain (FDTD) simulations. The dispersion error is first expanded in spherical harmonics in terms of the propagation angle and the leading order terms of the series are made equal to zero. Frequency-dependent FDTD coefficients are ...

This paper introduces an automatic tuning method of the tiling parameters required in the implementation of the three-dimensional FDTD method based on time-space tiling. The tuned tiled FDTD kernel was multi-threaded and its performance was evaluated on a multi-core processor. Compared with a naïvely implemented kernel, this tuned FDTD kernel performed better by more than a factor of two.

A hybrid method of subgrid FDTD(2,2) with FDTD(2,4) is presented. Both the standard FDTD(2,2) as well as the hybrid technique are applied to shielding effectiveness analysis of a scaled model of a Boeing 757. Also, analysis of EMI generated by personal electronic devices is performed on the same scaled fuselage model.

| Perfectly Matched Layers (PML) are derived for cylindrical and spherical FDTD grids. The formulation relies on the complex coordinate stretching approach. 2D cylindrical and 3D spherical staggered-grid FDTD codes are written based on the time-domain versions of the equations. Numerical simulations validate the formulation by showing very good agreement between the PML-FDTD results and the fre...

in this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. at first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized using finite difference method. so the new algorithm is called the displacement-based finite difference time domain (dbfdtd). three numerical examples are computed with this met...

A new discrete Green’s function formulation of the finite difference time domain (DGF-FDTD) method has been developed which expresses the field response as a convolution of the current sources and the impulse response of the FDTD equation system. DGF-FDTD avoids the need for computation of free space nodes and absorbing boundary conditions. The method has been demonstrated by its application to...

Abstract This is a tutorial paper on the basics and applications of finite-difference time-domain (FDTD) method. Two types discretization linear governing equations, scalar-type FDTD method vector-type one, are first discussed. Then basic concept compact explicit-FDTD (CE-FDTD) described. By considering relationship between cutoff frequency computer resources, it shown that interpolated wide ba...

A three-dimensional finite-difference time-domain (FDTD) program has been developed to provide a numerical solution for light scattering by nonspherical dielectric particles. The perfectly matched layer (PML) absorbing boundary condition (ABC) is used to truncate the computational domain. As a result of using the PML ABC, the present FDTD program requires much less computer memory and CPU time ...