Complete Energy Conversion by Autoresonant Three-Wave Mixing in Nonuniform Media

Abstract: Three-Wave Mixing (TWM) processes appear in many fields of physics e.g. nonlinear optics, plasma physics, acoustics and hydrodynamics. Recently, a general theory of autoresonant three-wave mixing in a nonuniform medium has been derived analytically and demonstrated numerically [1]. It has been shown that due to the medium nonuniformity, a stable phase-locked evolution is automatically established. For a weak nonuniformity, the conversion efficiency between the interacting waves can reach almost 100% of the pump energy. We have shown that due to mechanisms different from those previously reported, it is possible to establish an autoresonant state in wave-mixing processes, resulting in pump-depletion, also in the absence of self-phase and cross-phase modulation effects. Our work generalizes previous studies about two-wave mixing processes in spatially-varying media [2,3] and TWM in the undepleted pump regime (which is effectively a two-wave mixing process) [4]. 

One of the potential applications of our theory is the design of highly-efficient Optical Parametric Amplifiers (OPAs) allowing complete pump depletion. This kind of OPAs is expected to have a very large amplification bandwidth with a flat amplification spectral profile, similarly to what have been suggested and demonstrated in the case of four-wave mixing in tapered optical fibers [5]. References: 

[1] O. Yaakobi, L. Caspani, M. Clerici, F. Vidal and R. Morandotti, Optics Express 21, 1623 (2013). 

[2] A. Barak, Y. Lamhot, L. Friedland and M. Segev, Phys. Rev. Lett. 103, 123901 (2009). 

[3] S. Richard, J. Opt. Soc. Am. B 27, 1504 (2010). 

[4] H. Suchowski, D. Oron, A. Arie and Y. Silberberg, Phys. Rev. A 78, 063821 (2008). 

[5] O. Yaakobi and L. Friedland, Phys. Rev. A 82, 023820 (2010). 

03/04/2013 - 09:30
Oded Yaakobi
דוא"ל להרשמה: 
INRS-EMT, University of Quebec, Varennes, Quebec, Canada
building 1103, Room 329