Longitudinal waves in one dimensional non-uniform waveguides

Spontaneous decay rates in one-dimensional waveguides

It is well-known that the spontaneous decay rates of emitting sources such as atoms or quantum wells can be largely modified in optical micro-cavities. − 4 Controlled spontaneous-emission plays a key role in a new generation of micro and nano-optical devices. Highperformance micro-cavity lasers, for instance, have been already experimentally demonstrated. 6 Spontaneous decay rates modifications...

Numerical wave propagation on non-uniform one-dimensional staggered grids

Standing waves on two-dimensional periodic dielectric waveguides

Guided modes of a periodic waveguide usually exist below the light line, if the minimum period of the waveguide is used in the definition, but for some periodic waveguides, there are standing waves with the same period as the waveguide. These non-propagating waves localized around the waveguide core are special guided modes above the light line with a zero wavenumber, and they are related to tr...

On the Uniform One-dimensional Fragment

The uniform one-dimensional fragment of first-order logic, U1, is a recently introduced formalism that extends two-variable logic in a natural way to contexts with relations of all arities. We survey properties of U1 and investigate its relationship to description logics designed to accommodate higher arity relations, with particular attention given to DLRreg . We also define a description logi...

On the Curvature and Torsion Effects in One Dimensional Waveguides

We consider the Laplace operator in a thin tube of R with a Dirichlet condition on its boundary. We study asymptotically the spectrum of such an operator as the thickness of the tube’s cross section goes to zero. In particular we analyse how the energy levels depend simultaneously on the curvature of the tube’s central axis and on the rotation of the cross section with respect to the Frenet fra...