Multi-mode Waveguides with Tailored Dispersion - a Way for Coherent and Dispersion-Free Propagation of Classical and Quantum Optical Signals

Abstract

We show how by a tailored breaking of the translational symmetry in waveguides and optical bers one can control chromatic dispersions of the individual modes at any order and thereby overcome the problem of coherent classical and quantum signal transmission at long distances. The method is based on previously developed quantum control techniques and provides analytic solution for a general class of models. In practice, this requires mode couplers and the possibility of tailoring the dispersion laws around the operating frequency. We develop the method for spatial modes of a waveguide and we further apply the technique to design dispersion-less propagation for the polarization modes of a uniaxial material.