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AIP conference proceedings

Parametric Four-Wave Mixing in Low Atomic Densities of Potassium Vapor

Dionysios Pentaris, Nikolaos Merlemis, A. Lyras, Thomas Efthimiopoulos, Theodore E. Simos, George Maroulis

Published Jan 1, 2007• 4 citations
Publisher

Abstract

We study the generation of radiation at the 5P3/2‐4S1/2 transition of potassium vapor under excitation of the 4S1/2‐6S1/2 two‐photon resonance. The model consists of the coupled Maxwell‐Bloch equations for a four‐level configuration of Potassium atom including states 4S, 4P, 5P and 6S, which is numerically solved. Previous experimental studies have shown the emission of Parametric Four‐Wave Mixing (PFWM) radiation near the 5P3/2‐4S1/2 transition at low vapor pressures (P<1014 atoms/cm3) which is also shown in the case of the model studied.

DOI
10.1063/1.2836209

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Abstract\nWe investigate the emissions of atomic potassium excited by two photons near the 4S1/2-6S1/2 transition. Radiation near the 6S1/2-4P3/2, 1/2 and 4P3/2, 1/2-4S1/2 transitions are studied for the unidirectional and the bidirectional cases respectively. It is shown that the total output intensity increases considerably for the bidirectional propagation. This is attributed to the effective increase of the Doppler free excitation and the cancellation of the quantum interference effect that is associated with the multiple paths of excitation of certain states. Keywords. Counter-propagating beams, amplified spontaneous emission (ASE), stimulated hyper Raman scattering (SHRS), parametric four-wave mixing (PFWM).

Journal of Physics B Atomic Molecular and Optical Physics•Feb 2, 2010•6 citations
We study the generation of radiation at the 5P3/2‐4S1/2 transition of potassium vapor under excitation of the 4S1/2‐6S1/2 two‐photon resonance. The model consists of the coupled Maxwell‐Bloch equations for a four‐level configuration of Potassium atom including states 4S, 4P, 5P and 6S, which is numerically solved. Previous experimental studies have shown the emission of Parametric Four‐Wave Mixing (PFWM) radiation near the 5P3/2‐4S1/2 transition at low vapor pressures (P<1014 atoms/cm3) which is also shown in the case of the model studied.
Potassium 4S1/2 - 6S1/2 two-photon excitation initiates the emission of several internally generated photons. For the first time two emission lines one close and one below the potassium 4P3/2 level are reported. Radiation emitted below the 4P3/2 - 4S1/2 level is due to a Parametric Four Wave Mixing (PFWM) process initiated by the internally generated radiation from 5P3/2 - 4S1/2 level. The line emitted close to the 4P3/2 level is produced by a two-step Four Wave Mixing (FWM) process. Direct one photon driving of 4S3/2 - 4P3/2 transition produces similar to HEP radiation.
The two‐photon excitation of 4S1/2–7S1/2 transition of potassium atoms is studied. Several coherent emissions and processes are possible, such as parametric four‐wave (PFWM), parametric six‐wave (PSWM) mixing and competition with the stimulated hyper Raman (SHRS) and the amplified spontaneous emission (ASE). The radiations at the transitions 6P3/2,1/2−4S1/2, 6S1/2−4P3/2,1/2 and 5P3/2,1/2−4S1/2 are emitted only in the forward direction (indicating a parametric process), while the radiation at the transition 4P3/2,1/2−4S1/2 is emitted in the forward and in the backward direction, indicating an ASE process.
The interaction of a laser with potassium atoms is investigated by monitoring the radiation of the 5P-4S transition under the two-photon 4S(1/2)-6S(1/2) excitation. For low number density and laser intensity the observed radiation is parametric axial or conical, depending on the laser detuning from the two-photon resonance, the number density and the laser intensity. With increasing laser intensities and number densities, an additional delayed component is observed corresponding to a two-step four-wave mixing with the participation of internally generated photons. A two-photon quantum interference effect is observed for the total (axial and conical) parametric four-wave mixing emission. A deviation from the proposed model under certain experimental parameters is attributed to a two-step four-wave mixing and the phase mismatch of the parametric processes.
Abstract\nWe investigate the emissions of atomic potassium excited by two photons near the 4S1/2-6S1/2 transition. Radiation near the 6S1/2-4P3/2, 1/2 and 4P3/2, 1/2-4S1/2 transitions are studied for the unidirectional and the bidirectional cases respectively. It is shown that the total output intensity increases considerably for the bidirectional propagation. This is attributed to the effective increase of the Doppler free excitation and the cancellation of the quantum interference effect that is associated with the multiple paths of excitation of certain states. Keywords. Counter-propagating beams, amplified spontaneous emission (ASE), stimulated hyper Raman scattering (SHRS), parametric four-wave mixing (PFWM).