1,707 research outputs found
Uniform Refraction in Negative Refractive Index Materials
We study the problem of constructing an optical surface separating two
homogeneous, isotropic media, one of which has a negative refractive index. In
doing so, we develop a vector form of Snell's law, which is used to study
surfaces possessing a certain uniform refraction property, both in the near and
far field cases. In the near field problem, unlike the case when both materials
have positive refractive index, we show that the resulting surfaces can be
neither convex nor concave.Comment: 29 pages, 5 figure
Towards a topological (dual of) quantum -Poincar\'{e} group
We argue that the -deformation is related to a factorization of a Lie
group, therefore {\em an approproate version of -Poincar\'{e} does
exist on the -algebraic level}. The explict form of this factorization is
computed that leads to an ``action'' of the Lorentz group (with space
reflections) considered in Doubly Special Relativity theory. The orbit
structure is found and ``the momentum manifold'' is extended in a way that
removes singularities of the ``action'' and results in a true action. Some
global properties of this manifold are investigatedComment: Latex, 22 pages, uspackage: pstricks,pst-plo
- …