Waveguiding in a dielectric medium varying slowly in one transverse direction

Large, Global Solutions to the Navier-stokes Equations, Slowly Varying in One Direction

In two earlier papers by the authors, classes of initial data for the three dimensional, incompressible Navier-Stokes equations were presented, generating a global smooth solution although the norm of the initial data may be chosen arbitrarily large. The aim of this article is to provide new examples of arbitrarily large initial data giving rise to global solutions, in the whole space. Contrary...

Energy exchange and wave action conservation for magnetohydrodynamic (MHD) waves in a general, slowly varying medium

Magnetohydrodynamic (MHD) waves in the solar wind and magnetosphere are propagated in a medium whose velocity is comparable to or greater than the wave velocity and which varies in both space and time. In the approximation where the scales of the time and space variation are long compared with the period and wavelength, the ray-tracing equations can be generalized and then include an additional...

Role of negative dielectric and optical quantum dot waveguiding methods in communication

While the application of optical and photonic technologies in the communications, computing, medicine and industrial manufacturing has been growing rapidly, the miniaturization of these technologies has been slow due to the limitation on the diffraction. However, the developments of nanoscale components and guiding methods are continuing with a rapid pace. Since waveguiding is a fundamental iss...

Terahertz waveguiding between parallel dielectric films.

We report a study of terahertz waveguiding between parallel dielectric films, a system that can be viewed as a planar analogue of hollow core fibres that exploit anti-resonant reflection optical waveguiding (ARROW). With the aid of time domain waveguide mode imaging, the frequency dependent transition from ARROW to total internal reflection guiding in the individual films as the film separation...

A one-dimensional model for superconductivity in a thin wire of slowly varying cross-section