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Optics Letters

Continuous resonant four-wave mixing in double-Λlevel configurations of Na_2

Sergei A Babin, U. Hinze, E. Tiemann, B. Wellegehausen

Published Aug 1, 1996• 61 citations
Publisher

Abstract

Efficient continuous resonant frequency mixing omega(4) = omega(1) - omega(2) + omega(3) in Na(2) has been realized. A bichromatic field (lambda(1) = 488 nm, lambda(2) = 525 nm), generated by an Ar(+)-laser-pumped Na(2) Raman laser, and radiation at lambda(3) = 655 nm from a dye laser interact resonantly with corresponding transitions X(1)Sigma(g)(+)(upsilon = 3, J = 43) ? B(1)Pi(u)(6, 43) ? X(1)Sigma(g)(+)(13, 43) ? A(1)Sigma(g)(+)(24, 44) in a test Na(2) heat pipe. For input powers of 200, 25, and 400 mW an output beam of as much as 0.2 mW at lambda(4) = 599 nm has been observed. Measured parameter dependences indicate an influence of interference effects. This is directly related to the discussion of lasing without inversion.

DOI
10.1364/ol.21.001186

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Journal of the Optical Society of America B•Mar 1, 1984•38 citations
Efficient continuous resonant frequency mixing omega(4) = omega(1) - omega(2) + omega(3) in Na(2) has been realized. A bichromatic field (lambda(1) = 488 nm, lambda(2) = 525 nm), generated by an Ar(+)-laser-pumped Na(2) Raman laser, and radiation at lambda(3) = 655 nm from a dye laser interact resonantly with corresponding transitions X(1)Sigma(g)(+)(upsilon = 3, J = 43) ? B(1)Pi(u)(6, 43) ? X(1)Sigma(g)(+)(13, 43) ? A(1)Sigma(g)(+)(24, 44) in a test Na(2) heat pipe. For input powers of 200, 25, and 400 mW an output beam of as much as 0.2 mW at lambda(4) = 599 nm has been observed. Measured parameter dependences indicate an influence of interference effects. This is directly related to the discussion of lasing without inversion.
Summary form only given. Resonant four-wave mixing with continuous laser fields has recently gained new interest, because of quantum interference effects that allow to manipulate and control the properties of the nonlinear medium. In this contribution we report on new experimental and theoretical investigations of four-wave mixing and parametric amplification in a resonantly driven double-A scheme as shown. As a nonlinear medium Na/sub 2/-molecules produced in a sodium heat pipe at a typical operation temperature of 720 K are used. In this scheme Raman gain on the 2-3 transition plays an important role and can result in exponential growth of the generated signal intensity at /spl lambda//sub 4/=480 nm in spite of absorption on the 4-1 transition (due to the "gain transfer"). This allows to achieve very high conversion efficiencies into the signal field.
Summary form only given. Various schemes of resonant frequency conversion using four-wave mixing (FWM) have been investigated recently. For example, sum-frequency FWM in Hg atoms has been used for generation of CW radiation at 121.56 nm, corresponding to the Lyman-/spl alpha/ line of hydrogen and efficient difference frequency mixing has been demonstrated in double-/spl Lambda/ level configurations of Na/sub 2/ molecules. We present novel investigations on the resonance structure of the FWM-spectra in the case of up-conversion in a double-/spl Lambda/ scheme realized in Na/sub 2/.
For the first time by means of two-photon hybrid excitation in the Na2-Na system, which is distinguished from the usual two-photon excitation in atomic vapor, tunable UV coherent radiation (between 337.6 and 339.1 nm and between 358.0 and 359.6 nm) and tunable infrared stimulated radiation (3.38-3.46 µm) were generated. By optically pumping with a pulsed dye laser scanning from 614.5 to 617.4 nm for sodium vapor in a heat-pipe oven, Na2 was excited by the first photon absorption from the X ′ Σ g + to the A ′ Σ u + state. The energy was transferred to Na by Na2*-Na collision to populate the levels 3p1/2,3/2 in Na, which was followed by another photon excitation from the same beam up to near the 5S level, resulting in SERS (3P1/2-4P and 3P3/2-4P) and OPSE(5S → 4P and 4P → 4S) radiation. Assuming the detunings of pumping frequency ω1, from ω(5S,3P3/2) and ω(5s,3p1/2) to be Δ1 and Δ2, respectively, the three UV coherent radiation components were supposed to be generated by the following mixing processes: ωUV = 2ω1 − ω(5S − 4P); ω U V ′ = 2 ω 1 − [ ω ( 5 S → 4 P ) + Δ 1 ] ; ω U V ′ ′ = 2 ω 1 − [ ω ( 5 S → 4 P ) + Δ 2 ] , and also ω U V ′ ′ ′ = 2 ω 1 − ω ( 4 P → 4 S ) . The SERS and the UV signals were tuned as the pumping wavelength was tuned. The measured wavelengths agreed well with the calculated values.
If an extended Na vapor column (heat pipe configuration) is subjected to strong laser pumping near two-photon resonance with 3D3/2,5/2 or 4D3/2,5/2 states at pressures above tens of millitorr, strong stimulated emissions are produced by amplified spontaneous emission (ASE) or stimulated electron in hyper-Raman scattering (SEHRS) and by phase matched parametric four-wave mixing (PFWM). These new electromagnetic fields that are generated within the near-resonant nonlinear medium can strongly influence the total atomic response and produce several saturation and total cancellation types of effect.
A pulsed dye-laser beam (ωL) pumped by a frequency-doubled Nd:YAG laser is focused into a heat-pipe oven containing potassium vapor (nk ≈ 1016 cm−3). Two-photon resonant four-wave and six-wave mixing processes using the potassium 8s 2S1/2 state are investigated. Thirty-two coherent UV radiation lines are generated within the range of 300–400 nm through the processes ωUV = 2ωL ± ωIR and ωUV = 2ωL − ω′IR − ω″IR ± ω‴IR, where ωIR are frequencies of laser-induced IR waves generated in the vapor near the transitions 8S–7P, 7P–7S, 7P–5D, 8S–6P, 7S–6P, 5D–6P, etc. The influence of resonant enhancement on the UV line intensities and the phase-matching condition are analyzed.