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Soviet Journal of Quantum Electronics

Four-photon resonance parametric up-conversion of a weak infrared signal in a nonmonochromatic pump field

N. A. Iskanderov, Vladimir A. Kudryashov, I. N. Matveev, N E Tuvaev

Published Oct 31, 1981• 4 citations
Publisher

Abstract

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.

DOI
10.1070/qe1981v011n10abeh008493

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Soviet Journal of Quantum Electronics•Mar 31, 1982•1 citation
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.
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 analysis is made of the process of parametric up-conversion of the frequency of an infrared signal involving two-photon resonance of a pump field whose spectrum is considerably wider than the widths of the atomic transition lines. It is shown that the maximum steady-state efficiency of conversion in a wideband field is only slightly different from the maximum efficiency of conversion in a regular and monochromatic field. A dynamic improvement in the conversion efficiency is possible under transient interaction conditions.
A systematic analysis was made of the spectral characteristics of resonance four-photon parametric conversion of infrared radiation as a result of two-photon resonance pumping of the 3S–3D and 3S–5S transitions in sodium and the influence of these characteristics on the threshold sensitivity of a parametric conversion detector was investigated. An experimental study was made of the characteristics of the noise radiation generated as a result of hyperparametric scattering. The results obtained can be used to select the optimal parameters of high-sensitivity detectors of weak infrared signals by parametric conversion in alkali metal vapors.
A theoretical analysis is made of a four-wave parametric interaction accompanied by reversal of the signal wavefront in a thin layer of a two-level medium as a result of a two-photon resonance of opposite waves of randomly modulated pumping. An allowance is made for the inertia of the interaction, saturation of the transition involved in the interaction, Stark shift of the levels, and width of the pump spectrum. A study is made of the influence of random modulation of the pump waves on the average value and relative variance of the intensity of the reversed wave. It is shown that the relative amplitude of the intensity fluctuations of the reversed wave is minimal when the maximum average intensity is reached.
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.
A study was made of the dependences of the efficiency of resonant parametric frequency conversion in sodium vapor on the infrared radiation wavelength, vapor density, and detuning from two-photon pump resonance. It was found in this conversion system that for each infrared wave the conversion efficiency had three maxima on tuning the frequency of two-photon pumping over the region of a forbidden transition. The principal maximum was realized for accurate two-photon resonance, and the two other maxima resulted from a rise in the cubic susceptibility close to single-photon sum-frequency resonances. A quantum efficiency of 35% was achieved for a 9.26 μ infrared wave.