Introduced a new method for computing dispersive media using finite difference time domain method by employing the recursive convolution approach to evaluate the discrete time convolution of the electric field and the dielectric susceptibility function. The RC approach results in a fast and computationally efficient algorithm; however, the accuracy achieved is not generally as good as that obta...

We present the wave propagation through stratified double negative stacks to illustrate the scattering characteristics of their structure. The double negative stacks are modeled by using the hypothetical non-dispersive and the frequency dispersive cold plasma media. The stacks are embedded between two double positive media and the incident electric field is assumed a plane electromagnetic wave ...

The evolution of an electromagnetic pulse propagating through a linear, dispersive, and absorbing dielectric (as predicted by the modern asymptotic extension of the classic theory of Sommerfeld and Brillouin) is described in physical terms. The description is similar to the group-velocity description known for plane-wave pulses propagating through lossless, gainless, dispersive media but with t...

A new dispersive liquid–liquid microextraction separation/preconcentration procedure as a rapid sample-preparation technique is proposed for detection of ultra trace amounts of Au(III) in various media by flame atomic absorption spectrometry using 1,5-diphenyl-1,3,5-pentanetrione as chelating agent. Carbon tetrachloride and methanol were used as extraction and dispersive solvents, respectively....

The KdV equation models the propagation of long waves in dispersive media, while the NLS equation models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves. A system that couples the two equations to model the interaction of long and short waves is mathematically attractive and such a system has been studied over the last decades. We evaluate the validity of this...

Analytic approaches are developed for integrating the nondiagonalizable Whitham equations for the generation and propagation of nonlinear modulated finite-amplitude waves in dissipationless dispersive media. Natural matching conditions for these equations are stated in a general form analogous to the Gurevich-Pitaevskii conditions for the averaged Kortewegde Vries equations. Exact relationships...

G.A. El1,∗ A. Gammal2,† E.G. Khamis2,‡ R.A. Kraenkel3,§ and A.M. Kamchatnov4¶ 1 Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK 2 Instituto de F́ısica, Universidade de São Paulo, 05315-970, C.P.66318 São Paulo, Brazil Instituto de Fisica Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, Brazil Institute of Spectroscopy, Russia...