Journal ArticleDOI
Propagation in linear dispersive media: finite difference time-domain methodologies
TLDR
In this article, a finite difference time-domain (FDTD) method for electromagnetic wave propagation in two different kinds of linear dispersive media: an Nth order Lorentz and an Mth order Debye medium is presented.Abstract:
Finite difference time-domain (FDTD) methodologies are presented for electromagnetic wave propagation in two different kinds of linear dispersive media: an Nth order Lorentz and an Mth order Debye medium. The temporal discretization is accomplished by invoking the central difference approximation for the temporal derivatives that appear in the first-order differential equations. From this, the final equations are temporally advanced using the classical leapfrog method. One-dimensional scattering from a dielectric slab is chosen for a test case. Provided that the maximum operating frequency times the time step is small and that the wave is adequately resolved in space, as shown in the error analysis, the agreement between the computed and exact solutions will be excellent. The attached data, which are associated with the four pole Lorentz dielectric and the five pole Debye medium, verify this assertion. >read more
Citations
More filters
Approved for Public Release; Distribution is Unlimited
TL;DR: LaRonde as mentioned in this paper analyzes the conflict in Xinjiang and concludes that the Chinese continue to defeat the separatist movement through a strategy that counters Mao's seven fundamentals of revolutionary warfare, concluding that Mao, as well as the communist leaders who followed him, was also successful at waging protracted counterinsurgency.
Journal ArticleDOI
A selective survey of the finite-difference time-domain literature
K.L. Shlager,John B. Schneider +1 more
TL;DR: This survey presents some of the significant works that made the FDTD method so popular, and tracks its development up to the present-day state-of-the-art in several areas.
Journal ArticleDOI
Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
TL;DR: Extensions of finite-difference time domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media in this article.
Journal ArticleDOI
A general method for FDTD modeling of wave propagation in arbitrary frequency-dispersive media
W.H. Weedon,Carey M. Rappaport +1 more
TL;DR: In this article, a general formulation for finite-difference time-domain (FDTD) modeling of wave propagation in arbitrary frequency-dispersive media is presented, and two algorithmic approaches are outlined for incorporating dispersion into the FDTD time-stepping equations.
Journal ArticleDOI
FDTD analysis of wave propagation in nonlinear absorbing and gain media
A.S. Nagra,Robert A. York +1 more
TL;DR: In this paper, an explicit finite-difference time-domain (FDTD) scheme for wave propagation in certain kinds of nonlinear media such as saturable absorbers and gain layers in lasers is proposed.
References
More filters
Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Book
Advanced engineering electromagnetics
TL;DR: In this article, the authors introduce the notion of circular cross-section waveguides and cavities, and the moment method is used to compute the wave propagation and polarization.
Journal ArticleDOI
Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations
Allen Taflove,M.E. Brodwin +1 more
TL;DR: In this paper, a numerical method for the solution of the electromagnetic fields within an arbitrary dielectric scatterer of the order of one wavelength in diameter is described, and an error of less than /spl plusmn/10 percent in locating and evaluating the standing wave peaks within the cylinder is achieved for a program execution time of 1 min.
Journal ArticleDOI
A frequency-dependent finite-difference time-domain formulation for dispersive materials
TL;DR: In this paper, the traditional finite difference time domain (FDTD) formulation is extended to include a discrete time-domain convolution, which is efficiently evaluated using recursion, and the accuracy of the extension is demonstrated by computing the reflection coefficient at an air-water interface over a wide frequency band including the effects of the frequency-dependent permittivity of water.
Journal ArticleDOI
A transmitting boundary for transient wave analyses
Abstract: An artificial boundary condition at the edge of finite computational grids is devised. Itcan simulate the transmitting process of clastic surface waves and body waves incident atarbitrary angles under any accuracy required. It may be used for two- or three-dimensionaltransient wave analyses in laterally heterogeneous media and easily incorporated into exist-ing finite element or finite difference computational codes.