Designing flat optical devices for path and wave vector manipulation by space transformation along a fixed direction

Abstract

The capability of flat devices to manipulate the wave paths and wave vectors of electromagnetic waves is studied. The devices consisting in a transformed medium delimited by two parallel planes are designed by transforming the original free space along a fixed direction by an arbitrary function. We present the general equations describing the wave path and wave vector evolution inside such flat devices. In order to validate the theoretical results, a flat convergent lens working at oblique incidence is designed and discussed through computer simulations.