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Applied Physics Letters

Complete compensation of self-phase modulation in cesium vapor at 1.06 μ

Robert H. Lehmberg, John F. Reintjes, Robert C Eckardt

Published May 1, 1977• 9 citations
Publisher

Abstract

We have observed a complete cancellation of self-phase modulation in 1.06-μ pulses propagating through cesium vapor. The negative nonlinear refractive index responsible for this is measured as n2/N=−(2.5±0.5) ×10−30 esu, in good agreement with the theoretical value −2.62×10−30 esu.
DOI
10.1063/1.89459

Related papers

Negative nonlinear susceptibility of cesium vapor around 1.06 μm

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We outline a complete theory of the nonlinear susceptibility of cesium around 1.06 \ensuremath{\mu}m, and present the first measurements of the negative nonlinear refractive index ${n}_{2}$ primarily responsible for the self-defocusing that is observed. For linearly polarized light, our measured value of ${n}_{2}$ is $\ensuremath{-}(1.4\ifmmode\pm\else\textpm\fi{}0.2)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$ esu, where $N$ is the atomic density. This is in reasonable agreement with our calculated value of $\ensuremath{-}2.62\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$. The main portion of ${n}_{2}$ comes from a two-photon resonance between the $6s$ and $7s$ levels, and an additional negative term arises from induced population changes between $6s$ and $6p$. For circular polarization, ${n}_{2}$ arises mainly from the induced population changes, giving the measured and calculated values of $\ensuremath{-}(0.26\ifmmode\pm\else\textpm\fi{}0.03)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$ and $\ensuremath{-}0.525\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$, respectively. In our experiments where the 35-psec pulses were shorter than the $6s\ensuremath{-}6p$ inverse linewidth, the nonlinear susceptibility depends mainly on the instantaneous intensity; however, for longer pulses, one would obtain additional contributions proportional to time integrals over the intensity. Since the useful output power from large Nd laser systems is limited by self-focusing due to the laser glass, our results suggest the possibility of increasing this power by using Cs vapor for compensation.

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We present measurements of the nonlinear refraction coefficients for the D1 line of cesium vapor. A variant of the z-scan technique is applied for which we scan the laser frequency across resonance for different sample positions and detect the transmission after an aperture in the far field. From the spectra for different positions we reconstruct the position-dependent transmission z-scan curve for a given laser detuning. This technique allows obtaining the vapor Kerr coefficient over a large and continuous range of frequencies. From the saturation of the Kerr coefficient, n2, with beam power we obtain n4, the next term in the refraction index expansion. A theoretical model is used to calculate n2 and n4 giving values consistent with experimental ones.

Journal of the Optical Society of America B•Aug 13, 2019•6 citations
We outline a complete theory of the nonlinear susceptibility of cesium around 1.06 \ensuremath{\mu}m, and present the first measurements of the negative nonlinear refractive index n2{n}_{2}n2​ primarily responsible for the self-defocusing that is observed. For linearly polarized light, our measured value of n2{n}_{2}n2​ is $\ensuremath{-}(1.4\ifmmode\pm\else\textpm\fi{}0.2)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$ esu, where NNN is the atomic density. This is in reasonable agreement with our calculated value of $\ensuremath{-}2.62\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$. The main portion of n2{n}_{2}n2​ comes from a two-photon resonance between the 6s6s6s and 7s7s7s levels, and an additional negative term arises from induced population changes between 6s6s6s and 6p6p6p. For circular polarization, n2{n}_{2}n2​ arises mainly from the induced population changes, giving the measured and calculated values of $\ensuremath{-}(0.26\ifmmode\pm\else\textpm\fi{}0.03)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$ and $\ensuremath{-}0.525\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}30}N$, respectively. In our experiments where the 35-psec pulses were shorter than the $6s\ensuremath{-}6p$ inverse linewidth, the nonlinear susceptibility depends mainly on the instantaneous intensity; however, for longer pulses, one would obtain additional contributions proportional to time integrals over the intensity. Since the useful output power from large Nd laser systems is limited by self-focusing due to the laser glass, our results suggest the possibility of increasing this power by using Cs vapor for compensation.
The electronic nonlinear refractive index in Cs vapor at 1.06 μ is shown to be negative and to consist of two distinct contributions. One of these contributions arises from a two-photon resonance in the susceptibility and can be made comparable in magnitude to the positive n2 in laser glass. The other term arises from population redistributions between the ground and first excited state. We present measurements of self-defocusing of a single pulse from a Nd: YAG mode-locked laser that are in agreement with the theoretical predictions.
The electronic nonlinear refractive index in Cs Vapor at 1.06μ is shown to be negative and to consist of two distinct contributions. One of these arises from a two-photon resonance in the susceptibility, and can be made comparable in magnitude to the positive n2in laser glass. The other term arises from population redistribution between the ground and the first excited state. We present preliminary measurements of self defocusing of a single pulse from a Nd:YAG mode locked laser which are in agreement with the theoretical predictions.
We present measurements of the nonlinear refraction coefficients for the D1 line of cesium vapor. A variant of the z-scan technique is applied for which we scan the laser frequency across resonance for different sample positions and detect the transmission after an aperture in the far field. From the spectra for different positions we reconstruct the position-dependent transmission z-scan curve for a given laser detuning. This technique allows obtaining the vapor Kerr coefficient over a large and continuous range of frequencies. From the saturation of the Kerr coefficient, n2, with beam power we obtain n4, the next term in the refraction index expansion. A theoretical model is used to calculate n2 and n4 giving values consistent with experimental ones.