Theory of Kerr Instability Amplification

A new amplification method based on the optical Kerr instability is suggested and theoretically analyzed, with emphasis on the near to mid-infrared wavelength regime. Our analysis for CaF2 and KBr crystals shows that one to two cycle pulse amplification by 3-4 orders of magnitude in the wavelength range from 1-14 microns is feasible with currently available laser sources. At 14 microns final output energies in the 0.05 mJ range are achievable corresponding to about 0.2-0.25% of the pump energy. The Kerr instability presents a promising process for the amplification of ultrashort mid-infrared pulses.