Narrow Results

Being able to manipulate light and confine it to small length scales have a multitude of applications in modern technology. Predicting the behavior of nanophotonic devices and the realization of new ones will greatly benefit from insights offered by analytical calculations and numerical modeling. In this paper, we elucidate the fundamental electromagnetic responses of materials and introduce a versatile technique, called transfer matrix method, in modeling the behavior of nanoscale heterostructures. Its application in novel photonic devices such as semiconductor microcavities and surface plasmon resonance sensors will be demonstrated.

The basics of the premetric approach are discussed, including the essential details of the formalism and some of its beautiful consequences. We demonstrate how the classical electrodynamics can be developed without a metric in a quite straightforward way: Maxwell’s equations, together with the general response law for material media, admit a consistent premetric formulation. Furthermore, we show that in relativistic theories of gravity, the premetric program leads to a better understanding of the interdependence between topological, affine, and metric concepts.

In this work, we use the fact that kinematics of light propagation in a non-dispersive medium associated with a bi-metric spacetime is expressed by means of a 1-parameter family of contact transformations. We present a general technique to find such transformations and explore some explicit examples for Minkowski and anti-deSitter spacetimes geometries.