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...

This paper introduces an automatic tuning method for the tiling parameters required in an implementation of the three-dimensional FDTD method based on time-space tiling. In this tuning process, an appropriate range for the tile size is first determined by trial experiments using cubic tiles. The tile shape is then optimized by using the Monte Carlo method. The tiled FDTD kernel was multi-thread...

This paper describes Meep, a popular free implementation of the finite-difference time-domain (FDTD) method for simulating electromagnetism. In particular, we focus on aspects of implementing a full-featured FDTD package that go beyond standard textbook descriptions of the algorithm, or ways in which Meep differs from typical FDTD implementations. These include pervasive interpolation and accur...

In modern MRI, patients are exposed to strong, rapidly switched magnetic field gradients that may be able to elicit nerve stimulation (1-14). This paper provides the numerical results of an investigation into induced current spatial distributions inside human tissue when exposed to these pulsed magnetic field gradients. Conventional FDTD methods are unable to model these effects as the effectiv...

Normally in the finite difference time domain (FDTD) technique, stationaly objects are modeled in a time domain simulation as a field propagates around them, and possibly inside these objects. Tbis paper illustrates a method in which EM fields and a moving object can be modeled using the FDTD technique. By using a techniqne of dielectric approximation and intermediate step field movement, it is...

The paper proposes an efficient method to analyze the response of periodic structures to non-periodic excitations in the time domain, employing the Finite-Difference Time-Domain (FDTD) method. To that end, the array-scanning method, which has been previously associated with frequency-domain, integral formulations of periodic structure problems, is translated into the context of FDTD. Hence, the...

Techniques to improve the accuracy of the finite-difference time-domain (FDTD) solutions employing sinusoidal excitations are developed. The FDTD computational domain is considered as a sampled system and analyzed with respect to the aliasing error using the Nyquist sampling theorem. After a careful examination of how the high-frequency components in the excitation cause sinusoidal steady-state...

A hybrid transfer-matrix finite-difference time-domain (FDTD) method is proposed for modeling the optical properties of finite-width planar periodic structures. This method can also be applied for calculation of the photonic bands in infinite photonic crystals. We describe the procedure of evaluating the transfer-matrix elements by a special numerical FDTD simulation. The accuracy of the new me...

EM1 associated with inter-board connection was studied through common-mode current measurements and FDTD modeling for stacked-card and module-on-backplane configurations. Three types of connections were investigated experimentally including an open pin field connection, an “ideal” semi-rigid coaxial cable connection, and a production connector. Both microstrip and stripline signal routing on th...

The finite difference time domain (FDTD) method is widely used as a computational tool to simulate the electromagnetic wave propagation in biological tissues. When expressed in terms of Debye parameters, dispersive biological tissues dielectric properties can be efficiently incorporated into FDTD codes. In this paper, FDTD formulation with nonuniform grid is presented to simulate a dual medical...