Abstract
Resonant three-wave interactions appear in many fields of physics e.g. nonlinear optics, plasma physics, acoustics and hydrodynamics. A general theory of autoresonant three-wave mixing in a nonuniform media is derived analytically and demonstrated numerically. It is shown that due to the medium nonuniformity, a stable phase-locked evolution is automatically established. For a weak nonuniformity, the efficiency of the energy conversion between the interacting waves can reach almost 100%. One of the potential applications of our theory is the design of highly-efficient optical parametric amplifiers.
Highlights
Three-Wave Mixing (TWM) processes appear in many fields of physics e.g. nonlinear optics, plasma physics, acoustics and hydrodynamics
The conversion efficiency between the interacting waves can reach almost 100% of the pump energy
One of the potential applications of our theory is the design of highly-efficient 2 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, to what have been suggested and demonstrated in the case of four-wave mixing in tapered optical fibers [5]
Summary
Three-Wave Mixing (TWM) processes appear in many fields of physics e.g. nonlinear optics, plasma physics, acoustics and hydrodynamics.
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