Electromagnetic surface waves guided by the planar interface of isotropic chiral materials

The propagation of electromagnetic surface waves guided by the planar interface of two isotropic chiral materials, namely materials \calA and \calB, was investigated by numerically solving the associated canonical boundary-value problem. Isotropic chiral material \calB was modeled as a homogenized composite material, arising from the homogenization of an isotropic chiral component material and an isotropic achiral, nonmagnetic, component material characterized by the relative permittivity \eps_a^\calB. Changes in the nature of the surface waves were explored as the volume fraction f_a^\calB of the achiral component material varied. Surface waves are supported only for certain ranges of f_a^\calB; within these ranges only one surface wave, characterized by its relative wavenumber $q$, is supported at each value of f_a^\calB. For \mbox{Re} \lec \eps_a^\calB \ric > 0 , as \left| \mbox{Im} \lec \eps_a^\calB \ric \right| increases surface waves are supported for larger ranges of f_a^\calB and \left| \mbox{Im} \lec q \ric \right| for these surface waves increases. For \mbox{Re} \lec \eps_a^\calB \ric < 0 , as \mbox{Im} \lec \eps_a^\calB \ric increases the ranges of f_a^\calB that support surface-wave propagation are almost unchanged but \mbox{Im} \lec q \ric for these surface waves decreases. The surface waves supported when \mbox{Re} \lec \eps_a^\calB \ric < 0 may be regarded as akin to surface-plasmon-polariton waves, but those supported for when \mbox{Re} \lec \eps_a^\calB \ric > 0 may not

Fully Developed Liquid Layer Flow Over a Convex Corner Considering Surface Tension Effects Using Numerical Methods

In this paper, liquid layer flow considering surface tension effect, encountering a convex corner has been discussed. The flow profile far upstream is fully developed. Half-Poiseuille gives exact solution far upstream. Due to small disturbance of 0(&delta;), matched asymptotic technique has been opted to get the linearized solutions far downstream. The obtained equations have been solved numerically using Chebyshev Collocation method in collaboration with finite difference scheme. These results have been verified via computational work. The aforementioned method is beneficial, as we have successfully plotted graphs for the cases s = 0.1 and 0.2. Eventually, we have compared obtained results with the Gajjar&rsquo;s results [3

Surface tension effects on fully developed liquid layer flow over a convex corner

This investigation deals with the study of fully developed liquid layer flow along with surface tension effects, confronting a convex corner in the direction of fluid flow. At the point of interaction, the related equations are formulated using double deck structure and match asymptotic techniques. Linearized solutions for small angle are obtained analytically. The solutions corresponding to similar flow neglecting surface tension effects are also recovered as special case of our general solutions. Finally, the influence of pertinent parameters on the flow, as well as a comparison between models, are shown by graphical illustration