Finite Difference Time Domain Method

In this study, the photonic band structure of two-dimensional photonic crystals with square and honeycomb lattices consisting of air holes in the Kerr nonlinear material background has been investigated. We assumed that the holes with different geometrical shapes are filled with plasma. The numerical results based on the finite difference time method show that most of the designed structures represent a complete photonic bandgap with noticeable width at optimum values of structural parameters for low-intensity incident waves, in which the width can be changed through varying the incident light intensity. The calculations show that when the shape of the plasma-filled holes is the same as the shape of the unit cell of the structures, the most change in the total photonic bandgap is visible in the frequency range as  the light intensity of the incident light changes. Furthermore, the maximum width of the photonic gap in these structures was reached , which has increased approximately  in comparison with similar previously studied structures. The obtained result can be used for designing tunable optical devices.

In this paper, analytical modeling and numerical simulation of the complex effective dielectric, magnetic constants and refractive index of a metallic rod metamaterial in microwave frequency range are presented. Analytical modeling has been done using modified ...

This paper discusses some of the interesting proper- ties of stability analysis of a discretized wave equation. The solu- tions of the wave equation are wave functions, hence oscillating, so when testing stability the discretization scheme usually shows marginal stability. Marginal stability is a sufficient condition for a discrete scheme convergence and many authors don't bother with mathematical consistency. However, inadequatly chosen discretization method may lead to the additional unwanted oscil- lations. This paper illustrates this effect in a different approach. First, the wave equation is introduced together with a Perfectly matched layer (PML). Then the 1D wave equation is discretized by using Finite Differences Method (FDM) and Finite-differences Time-domain method (FDTD). It is shown that the latter method does not produce spurious oscillations in the solution. Eigenvalue analysis is done to explain this effect and discuss stability of the numerical scheme. Index Ter...

We have investigated light propagation through a single line-defect photonic crystal waveguide on a InP membrane. Modal analysis was performed using the finite-difference time-domain method. The fundamental mode has been found to be very close to the fundamental mode in a "refractive" waveguide but, in this case, it is inherently leaky. The propagation losses of this mode in the complete

We have experimentally and computationally studied the integration of a microstrip patch antenna with a two-dimensional photonic crystal substrate. This antenna was fabricated on a defect in the two-dimensional photonic crystal lattice that localized the energy under the patch antenna. The finite-difference time-domain method was employed to study the characteristics of this antenna. Measurements are in excellent agreement with calculations. The effects of finite size ground planes were also studied. This work can lead to a new design tool for integrating patch antennas with photonic crystal substrates.

A new procedure of integration for the Maxwell equations is present to study dielectric and magnetic dispersive materials using the Finite Difference Time Domain Method. Our method is based on a direct application of the Fourier Transform for the temporal and frequency integrations of the constitutive relations. We study Drude and Lorentz dispersive media. We present different results for the light reflection of a pulse impinging dispersive dielectric, dispersive magnetic, or both dispersive media.