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Physical Review A

Four-wave parametric mixing in optically inverted barium ions

Richard R. Freeman, Jeffrey Bokor A, William E. Cooke

Published Nov 1, 1982• 15 citations
Publisher

Abstract

Optically inverted barium ions in the $6{p}_{(\frac{1}{2})}$ excited state served as the nonlinear medium for doubly resonant four-wave parametric generation of coherent radiation at 167 nm. The excited barium ions were produced via selective autoionization. Stimulated-emission photons at 650 nm corresponding to the $6{p}_{(\frac{1}{2})}\ensuremath{-}5{d}_{(\frac{3}{2})}$ transition were mixed with input 451-nm laser photons turned to the $6{p}_{(\frac{1}{2})}\ensuremath{-}6{f}_{(\frac{5}{2})}$ two-photon resonance to produce the 167-nm output photons.

DOI
10.1103/physreva.26.3029

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Optically inverted barium ions in the 6p(12)6{p}_{(\frac{1}{2})}6p(21​)​ excited state served as the nonlinear medium for doubly resonant four-wave parametric generation of coherent radiation at 167 nm. The excited barium ions were produced via selective autoionization. Stimulated-emission photons at 650 nm corresponding to the 6p(12)\ensuremath−5d(32)6{p}_{(\frac{1}{2})}\ensuremath{-}5{d}_{(\frac{3}{2})}6p(21​)​\ensuremath−5d(23​)​ transition were mixed with input 451-nm laser photons turned to the 6p(12)\ensuremath−6f(52)6{p}_{(\frac{1}{2})}\ensuremath{-}6{f}_{(\frac{5}{2})}6p(21​)​\ensuremath−6f(25​)​ two-photon resonance to produce the 167-nm output photons.
Two-photon resonant or nearly resonant optical processes have been investigated in atomic barium vapour ( approximately 10 17 cm -3 ) with a pulse dye laser (frequency omega L ) covering the range 735-415 nm. These interactions result in strong coherent emissions emitted either forward and backward, or forward only. The optical processes responsible for these coherent emissions have been identified. Seventy five lines (frequency omega ES ) emitted from 1000 to 360 nm are due to optically pumped stimulated emissions or stimulated electronic hyper-Raman scattering. Twenty eight lines (frequency omega sigma ) observed from 795 to 250 nm are generated through four-wave-mixing parametric processes with omega sigma =2 omega L +or- omega ES , and nine- (795-260 nm) through six-wave-mixing parametric processes with omega sigma =2 omega L - omega ES1 - omega ES2 +or- omega ES3 .
Barium vapor emission in the vicinity of the (5d6p1P1COP-6s1S0) and (6p1P1COP-6s1S0) resonance transitions excited by a XeCl* laser has been studied experimentaly. IR radiation ((lambda) equals 2315.8 nm) assigned to the Ba (7p1P1COP-7s1S0) transition has been detected. Four-wave parametric oscillation is assumed to be responsible for the Ba emission. Observations of the interaction range between UV pump radiation and Ba vapor have shown the green emission to be produced from a great number of narrow regions. This effect is attributable either to self- focusing or inversion threads.
An experiment has been performed to demonstrate a third-order nonlinear optical effect involving the ground state of the strontium ion. Evidence of strong and slightly tunable parametric generation from a doubly resonant four-wave mixing process is provided when a single-wavelength laser is used to two-photon ionize strontium vapor and simultaneously pump close to the5s rightarrow 6stwo-photon resonance of the ion. This result appears to conform with a semiclassical wave equation description, although there is evidence that a population rate equation analysis will also be necessary if the process is to be modeled more accurately.
Two dye laser beams copropagate in barium vapour (N approximately 10 17 cm -3 ). One is tuned to the frequency ( omega L ) of the two-photon transition 6s 2 1 S 0 -6d 1 D 2 (661.2 nm). The frequency of the second ( omega L ) is tuned around that of the transition 5d6p 1 P 1 0 -5d 1 D 2 (528.6 nm). A new coherent wave at lambda UV approximately 350 nm, tunable on about 1000 cm -1 , with frequency omega UV = omega L + Omega (5d 1 D 2 -6s 2 1 S 0 ) is generated in the forward direction by a six-wave mixing parametric process.