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Journal of Experimental and Theoretical Physics

Possibility of four-photon parametric generation of light in gases

V. I. Barantsov, A. K. Popov, G. Kh. Tartakovskiǐ

Published Sep 1, 1975• 2 citations
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Physical Review Research•Aug 20, 2021•11 citations
The influence of isotropic depolarizing collisions on four-photon parametric processes is considered under resonance conditions. It is shown that, in particular, there is no parametric oscillation for J = 0→1 and 1→1 transitions between levels with total angular momenta J and waves with perpendicular linear polarizations if the line-up and orientation constants are equal. A study is made of the possibility of using resonance four-photon parametric processes in the determination of the relaxation constants of multipole moments of electron shells.
Experimental results on the phase transfer from structured beams to parametric light, generated by inducing four-wave mixing in an atomic gas, are reported. Near-infrared, Mathieu, and Gaussian pump beams yield a blue coherent Mathieu electromagnetic field and an infrared beam. Two complementary techniques enable full characterization of the up-converted modes. The unambiguous and efficient phase heritage of these complex quasipropagation invariant modes to up-converted photons is demonstrated. The presented data enable a quantitative study of dynamical variables related to Mathieu beams. These include elliptic angular momentum, a generalization of the orbital angular momentum of light, which is also up-converted through the nonlinear process.