Quadratic Interactions in Finite, One-Dimensional, Photonic Band Gap Structures with Deep Gratings: beyond the Undepleted Pump Regime

G. D'Aguanno a,b , M. Centini a,b , M. Scalora b , C. Sibilia a , M. Bertolotti a , Ch.M. Bowden b and M.J. Bloemer b a INFM at Dipartimento di Energetica, Universita di Roma ``La Sapienza'', via A. Scarpa 16, 00161 Rome, Italy b Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation & Missile Command, Building 7804, Redstone Arsenal AL 35898-5000, USA

Full Text PDF

We theoretically study quadratic interactions in finite, one-dimensional, photonic band gap structures with deep gratings, under strong pumping and global phase matching conditions. For second harmonic generation, we find that above a certain input intensity a dynamics reminiscent of a competitive, multi-wave mixing process takes hold: the pump field is mostly reflected, revealing a novel type of optical limiting behavior, while forward and backward generation is generally balanced. We also study the case of parametric down-conversion, where an intense second harmonic signal is injected in order to control a much weaker fundamental beam. Our results reveal the onset of a new process that has no counterpart in bulk materials: both transmission and reflection display an unexpected, unusual, resonance-like effect as functions of input second harmonic power.

DOI: 10.12693/APhysPolA.103.249 PACS numbers: 42.65.Ky