Investigation of the dependence of degenerate four-wave mixing line intensities on transition dipole moment

We report an investigation of the dependence on transition dipole moment of isolated line intensities in degenerate four-wave mixing in the A2Σ+ (υ′ = 0) ← X2Π (υ″ = 0) band for NO. For spectrally integrated intensities we found that the dependence was well described by a power law μx, where μ is the one-photon transition dipole moment. As a result of saturation, the exponent x depends on laser intensity. The observations are in reasonable agreement with a simple two-level model [ Opt. Lett.294 ( 1978);Opt. Lett.3, 205 ( 1978)], which predicts limiting dependences of μ8 and μ3 for low and high intensities, respectively. At intermediate laser intensities the model is consistent with an observed rapid decrease in the exponent with increasing laser intensity, followed by a plateau extending to high intensities.

[1]  R. C. Sahni,et al.  Quantum mechanical treatment of molecules. Part 4.—RKR Franck-Condon factors for the γ and β band systems of the NO molecule , 1968 .

[2]  I. Aben,et al.  Polarization effects in resonant four-wave-mixing processes , 1992 .

[3]  W. Wilson,et al.  Gas phase dynamics and spectroscopy probed with picosecond transient grating experiments , 1987 .

[4]  L. Hesselink,et al.  Phase conjugation in a flame. , 1985, Optics letters.

[5]  G. Agrawal,et al.  Saturation splitting in the spectrum of resonant degenerate four-wave mixing. , 1982, Optics letters.

[6]  I. McDermid,et al.  Radiative lifetimes and electronic quenching rate constants for single-photon-excited rotational levels of no (A2Σ+, ν′ = 0) , 1982 .

[7]  A. Dean,et al.  Laser induced fluorescence and absorption measurements of NO in NH3/O2 and CH4/air flames , 1983 .

[8]  R. W. Nicholls,et al.  Absolute oscillator strength measurements of the (υ′ = 0, υ′ = 0–3) bands of the (A2Σ-X2Π) γ-system of nitric oxide , 1972 .

[9]  P. Ewart,et al.  Two-dimensional phase-conjugate imaging of atomic distributions in flames by degenerate four-wave mixing. , 1989, Optics letters.

[10]  R. C. Lind,et al.  Degenerate four-wave mixing in a resonant homogeneously broadened system , 1981 .

[11]  R. Lind,et al.  Polarization‐rotation and thermal‐motion studies via resonant degenerate four‐wave mixing , 1979 .

[12]  D. Greenhalgh,et al.  Degenerate four-wave mixing in nitrogen dioxide: Application to combustion diagnostics , 1992 .

[13]  Robert C. Hilborn,et al.  Einstein coefficients, cross sections, f values, dipole moments, and all that , 1982, physics/0202029.

[14]  R. Lind,et al.  8 – Phase Conjugation and High-Resolution Spectroscopy by Resonant Degenerate Four-Wave Mixing , 1983 .

[15]  M. Yuratich.  Effects of laser linewidth on coherent antiStokes Raman spectroscopy , 1979 .

[16]  Thomas Dreier,et al.  Degenerate four-wave mixing diagnostics on OH and NH radicals in flames , 1990 .

[17]  P. E. Rouse,et al.  BETA AND GAMMA BAND SYSTEMS OF NITRIC OXIDE. , 1969 .

[18]  P. Monot,et al.  Theory of rotational line strengths in coherent anti-Stokes Raman spectroscopy , 1991 .

[19]  T. Dreier,et al.  Measurement of OH rotational temperatures in a flame using degenerate four-wave mixing. , 1990, Optics letters.

[20]  R. Lind,et al.  Degenerate four-wave mixing in absorbing media. , 1978, Optics letters.

[21]  R. Farrow,et al.  Two-dimensional imaging of OH in flames by degenerate four-wave mixing. , 1990, Optics letters.

[22]  N. Laurendeau,et al.  Balanced cross-rate model for saturated molecular fluorescence in flames using a nanosecond pulse length laser. , 1980, Applied optics.

[23]  P Ewart,et al.  Detection of OH in a flame by degenerate four-wave mixing. , 1986, Optics letters.