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Annual Meeting Optical Society of America

Probability distributions of the light intensity in a dye laser

Edward C. Gage, Paul D. Lett, L. Mandeļ

Published Jan 1, 1986• 0 citations
Publisher

Abstract

With the help of a fast digitizer, the probability distribution of the light intensity of a single-mode dye laser has been measured photoelectrically, for various working points of the laser, from well-below to well-above threshold. In the region below threshold the laser exhibits short spiking and a double-peaked probability distribution with large value at zero intensity. A plot of most probable vs mean light intensity shows a discontinuity suggestive of a first-order phase transition. The experimental results are compared with Monte Carlo solutions of the equations of motion, with both additive spontaneous emission noise and multiplicative Ornstein-Uhlenbeck pump noise, and reasonable agreement is found.

DOI
10.1364/oam.1986.ft5

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Physical Review A•Nov 1, 1990•17 citations
With the help of a fast digitizer, the probability distribution of the light intensity of a single-mode dye laser has been measured photoelectrically, for various working points of the laser, from well-below to well-above threshold. In the region below threshold the laser exhibits short spiking and a double-peaked probability distribution with large value at zero intensity. A plot of most probable vs mean light intensity shows a discontinuity suggestive of a first-order phase transition. The experimental results are compared with Monte Carlo solutions of the equations of motion, with both additive spontaneous emission noise and multiplicative Ornstein-Uhlenbeck pump noise, and reasonable agreement is found.
The relative mean square fluctuations $\frac{〈{(\ensuremath{\Delta}I)}^{2}〉}{{〈I〉}^{2}}$ of the intensity III of a single-mode dye laser have been measured by a photon counting technique, in the region from about threshold to intensities 1000 times below threshold. The results show a steady increase of $\frac{〈{(\ensuremath{\Delta}I)}^{2}〉}{{〈I〉}^{2}}$ from less than 1 to about 150 as 〈I〉〈I〉〈I〉 is reduced, followed by a rapid drop to zero. This behavior appears to be described fairly well by an equation of motion containing both additive spontaneous emission fluctuations and multiplicative pumping fluctuations.
Statistical properties of dye laser transients are analyzed by first-passage-time technique. Both pump and quantum fluctuations effece the establishment of steady states in a dye laser. These two kinds of noise play different roles in laser transients. Meanwhile it is difficult to discern them since the pump fluctuations are six orders of magnitude larger than the quantum noise. In this paper a model of single mode dye laser with pump fluctuations simplified by white noise is presented and the analytic results of the mean, variance and skewness of first-passage-time distributions are obtained through a Fokker-Planck equation. Compared with experimental measurements and curves from Monte Carlo simulations, excellent agreement is obtained.
The probability distribution p(n)p(n)p(n) for the detection of nnn photons emitted by a single-mode dye laser in a short time at various excitations is measured, together with the distribution of time intervals between pairs of detected photons. The first measurement yields the probability density p(I)\mathcal{p}(I)p(I) and the moments of the light intensity III, and the second one the two-time intensity-correlation function. Measurements are also performed at three different wavelengths. p(I)\mathcal{p}(I)p(I) is found to have a two-component structure, and the relative intensity fluctuations $\frac{〈{(\ensuremath{\Delta}I)}^{2}〉}{{〈I〉}^{2}}$ grow, apparently without limit, as the excitation tends to zero, so that no thermal state is reached. A possible explanation in terms of pumping fluctuations is discussed. The correlation function has the form of a sum of three exponential functions, and the amplitudes and decay constants of the three components are derived. The effective decay-time constant exhibits a thirteenth-power-law dependence on frequency of the laser light.