This Letter presents a split-step (SS) finite-difference time-domain (FDTD) method for the efficient analysis of two-dimensional (2-D) photonic crystals (PhCs) with anisotropic media. The proposed SS FDTD method is formulated with perfectly matched layer boundary conditions and caters for inhomogeneous anisotropic media. Furthermore, the proposed method is derived using the efficient SS1 splitt...

In transversely isotropic media with a vertical axis of symmetry (VTI media), we represent the image in vertical time, as opposed to depth, thus eliminating the inherent ambiguity of resolving the vertical P-wave velocity from surface seismic data. In this new (x±t)-domain, the ray tracing and eikonal equations are completely independent of the vertical P-wave velocity, with the condition that ...

In transversely isotropic media with a vertical axis of symmetry (VTI media), we can represent the image in vertical time, as opposed to depth, thus eliminating the inherent ambiguity of resolving the vertical P-wave velocity from surface seismic data. In this new (x − τ )-domain, the raytracing and eikonal equations are completely independent of the vertical P-wave velocity, on the condition t...

It is possible to obtain a quality assurance (QA) of the dosimetry within a short time by using the new mathematical tools for a water phantom where dose measurements were made at two points only for a few square field sizes of the linear accelerator beam. The human body is not homogeneous. Water phantom makes it possible to create inhomogeneous phantoms by introducing blocks within it at suita...

Many astrophysical flows occur in inhomogeneous media. The broad-line regions (BLR) of active galactic nuclei (AGNs) are one of the important examples where emission-line clouds interact with the outflow. We present results of a numerical study of the interaction of a steady, planar shock / supersonic postshock flow with a system of embedded cylindrical clouds in a two-dimensional geometry. Det...

We propose a tensor product derivative matching (TPDM) method to restore the accuracy of high-order finite difference time-domain (FDTD) schemes of computational electromagnetics (CEM) Figure 4 Measurement results of reverse-transmission gain and outputreturn loss for GaInP/GaAs HBT wideband amplifiers with and without emitter peaking Figure 5 Measured ZT and Z21 of GaInP/GaAs HBT wideband ampl...

We investigate theoretically how the stress propagation characteristics of granular materials evolve as they are subjected to increasing pressures, comparing the results of a two-dimensional scalar lattice model to those of a molecular dynamics simulation of slightly polydisperse disks. We characterize the statistical properties of the forces using the force histogram and a two-point spatial co...

In this paper we consider the one dimensional inhomogeneous wave equation with particular focus on its spectral asymptotic properties and its numerical resolution. In a first part of the paper we analyze the asymptotic nodal point distribution of high frequency eigenfunctions, which, in turn gives further information about the asymptotic behavior of eigenvalues and eigenfunctions. We then turn ...