The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a scalar potential is studied in the arrangements associated with the Klein paradox: potential step barriers and linear potentials. No Klein paradox is observed.

In This paper, optical Filter based on photonic crystal ring resonator with square lattice is proposed. The add-drop filter is designed by coupling in line quasi waveguide and resonant cavity. Photonic band gap is obtained by plane wave expansion method (PWE) and Simulation is carried out by Finite Difference Time Domain method (FDTD).This type of add-drop filter provide high transmission effic...

[1] A model to simulate the complete planetary orbital radar sounder problem is presented in this paper. The subsurface features and the ionosphere will not only bring ambiguity to the collected radar sounder data, but also critically affect instrument capabilities. These environmental uncertainties generate a compelling need for meaningful quantitative simulation of the orbital radar sounder p...

We report on the fabrication and optical characterization of a switchable photonic crystal nanocavity actuated by liquid crystals. This device acts as a filter presenting a transmission peak around the telecom wavelength λ = 1550 nm. Passing from the isotropic to the anisotropic (oriented crystals) state of the liquid crystals, a shift of ∆λ = 13 nm has been measured, which confirms the theoret...

We study the beaming effect of light for the case of increased-index photonic crystal (PhC) waveguides, formed through the omission of low-dielectric media in the waveguide region. We employ the finite-difference time-domain numerical method for characterizing the beaming effect and determining the mechanisms of loss and the overall efficiency of the directional emission. We find that, while th...

A three dimensional finite difference time domain (FDTD) technique is applied to analyze the propagation characteristics of terahertz (THz) antenna whose dimension is smaller than the wavelength. A diffraction theory is also utilized with the FDTD technique for observing the far-field dispersion and attenuation of radiation from the THz antenna with a hyper-hemispherical silicon lens which is m...

We analyze rigorously error estimates and compare numerically spatial/temporal resolution of various numerical methods for the discretization of the Dirac equation in the nonrelativistic limit regime, involving a small dimensionless parameter 0 < ε ≪ 1 which is inversely proportional to the speed of light. In this limit regime, the solution is highly oscillatory in time, i.e. there are propagat...

A thorough numerical assessment of Finite Difference Time Domain and Complex-Envelope Alternating-Direction-Implicit Finite-Difference-Time-Domain Methods has been carried out based on a basic single mode Plane Optical Waveguide structure. Simulation parameters for both methods were varied and the impact on the performance of both numerical methods is investigated.

A wave propagation characteristic is very significant to investigate a transient voltage and insulation design of a cable. This paper carries out an experiment and a simulation of wave propagation characteristics on an insulation covered conductor in comparison with a bare conductor. The simulations are carried out using Electro Magnetic Transient Program (EMTP) and Finite Difference Time Domai...

[1] We analyze nonlinear properties of microstructured materials with the negative refractive index, the so-called left-handed metamaterials. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows changing the material properties from left to right handed and back. Using the finite difference time domain simulations, we study the wave refle...