Phase conjugation and adiabatic mode conversion in a driven optical parametric oscillator with orbital angular momentum
Abstract
We developed a theoretical model for the spatial mode dynamics of an optical parametric oscillator under injection of orbital angular momentum. This process is interpreted in terms of a Poincaré representation of first order spatial modes. The spatial properties of the downconverted fields can be easily understood from their symmetries in this geometric representation. By considering an adiabatic mode conversion of the injected signal, we calculate the evolution of the downconverted beams. A phase conjugation effect is predicted which is a consequence of the symmetry in the Poincaré sphere. We also propose an experiment to measure this effect.
 Publication:

Physical Review A
 Pub Date:
 November 2007
 DOI:
 10.1103/PhysRevA.76.053821
 Bibcode:
 2007PhRvA..76e3821C
 Keywords:

 42.65.Yj;
 03.65.Vf;
 Optical parametric oscillators and amplifiers;
 Phases: geometric;
 dynamic or topological