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Soviet Journal of Quantum Electronics

Noncoherent four-photon parametric processes

Yu E D'yakov, Lubomir I. Pavlov, I. V. Tomov

Published Aug 31, 1979• 0 citations
Publisher

Abstract

An analysis is made of the excitation of a four-photon parametric process by a noncoherent Gaussian (noise) pump field. An allowance is made for the dispersive and dissipative properties of the nonlinear medium. It is shown that this process may have a fairly high efficiency in vapors of Cd, Hg, and Zn metal atoms if rare gas fluoride excimer laseres are used as pump sources.

DOI
10.1070/qe1979v009n08abeh009427

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Soviet Journal of Quantum Electronics•Oct 31, 1981•4 citations
An analysis is made of the excitation of a four-photon parametric process by a noncoherent Gaussian (noise) pump field. An allowance is made for the dispersive and dissipative properties of the nonlinear medium. It is shown that this process may have a fairly high efficiency in vapors of Cd, Hg, and Zn metal atoms if rare gas fluoride excimer laseres are used as pump sources.
An experimental investigation was made of the use of noise pumping in four-photon resonant parametric sum-frequency generation in potassium vapor. A two-photon resonance with the 9S1/2 and 7D3/2,5/2 levels and a one-photon resonance with the 10P1/2,3/2 and 11P1/2,3/2 levels were used. A comparison was made with the case of coherent pumping and it was found that, under conditions of strong dispersion and wave mismatch, the efficiency of the process using noise pumping differs negligibly from the efficiency using coherent pumping although the spectral density of the coherent pump is substantially higher than that of the noise pump.
Investigations are made of hyper-Raman scattering and four-photon parametric processes in two-photon excitation of metal vapor. The laws of propagation of infrared and ultraviolet radiation generated in a metal vapor medium by these processes are found for the steady-state interaction. The nonlinear polarization of the medium is obtained in terms of elements of the atomic density matrix allowing for saturation by the pump field and for the influence of collisions. The spectral and tuning characteristics of the converted radiation are studied and a comparison is made with experimental data. A dip observed in the infrared radiation spectrum for hyper-Raman scattering and its broadening are explained. A detailed discussion is given of the role of collisions that substantially narrow the tuning range of the infrared radiation in hyper-Raman scattering.
Six-photon parametric up-conversion under conditions of two-, three-, and four-photon resonance of a constant nonmonochromatic pump field is analyzed allowing for population migration, transient response of the medium, Stark shift of the levels, and width of the frequency spectrum of the the pump field. It is found that in the steady-state conversion regime, the maximum average conversion efficiency in the four-photon resonance case differs only negligibly from the maximum conversion efficiency in a monochromatic field, whereas in the two-photon and three-photon resonance cases it is higher than the maximum efficiency in a monochromatic pump field. An analysis is made of the influence of optically induced relaxation on the average conversion efficiency under conditions of pulsed excitation of two-, three-, and four-photon resonances.
A theoretical investigation is made of the influence of various effects on four-photon parametric upconversion in metal vapors: saturation, one-photon absorption of output radiation, two-photon depletion of pump radiation, wave detuning, and dispersion of the group velocities of the interacting waves. Estimates indicate that the simultaneous influence of all these effects can ensure a fairly efficient up-conversion of noise pump radiation, compared with the monochromatic case. The results agree well with the experimental results obtained in a study of conversion of tunable CO2 laser radiation in sodium vapor.
Four-photon parametric up-conversion of a weak infrared signal under conditions of two-photon resonance of a constant nonmonochromatic pump field is analyzed allowing for population migration, transient response of the medium, Stark shift of the levels, and width of the pump frequency spectrum. It is found that under steady-state conversion conditions in a nonmonochromatic pump field, it is possible to achieve an average conversion efficiency differing only negligibly from the maximum conversion efficiency in a monochromatic pump field. An analysis is made of the influence of optically induced relaxation on the average conversion efficiency in the transient regime. Numerical estimates are made of the transition parameters for an alkali metal vapor in a frequency-degenerate pump field exciting a two-photon transition.