The process of four photon parametric mixing can be used to convert the input laser sources, working in CW and pulseregimes, into light at several different frequencies. An effective parametric energy conversion can be observed when phasematching conditions between the waves are satisfied. The basic theoretical investigations are focused on efficienty of thefour-photon mixing and parametric gain with applications such as all-optical signal sampling, time-demultiplexing, pulsegeneration and wavelength conversion. The parametric amplifiers have capacity to provide high gain and low noise atarbitrary wavelengths with proper fiber design and pump wavelength allocation. The problem with the generation of newfrequencies on distances less than one coherent length in the process of parametric four-photon mixing was solved inapproximation of fixed electric field of the pump wave. The idea of our research is to solve the more general problem inwhich it is taken into account the mutual action of the first and second order of dispersion and all real χ~((3)) nonlinearprocesses on the parametric four-photon mixing. In CW regime the solutions of the problem, presented above, was solved inthe form of Jacobi elliptic functions. In pulse regime we found optimal conditions, where the process of energy exchange isstill effective. In this regime a quasi-periodic conversion is observed and group velocity difference between the pump andsignal wave is compensated by nonlinear mechanisms.
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