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Springer proceedings in physics

Intensity Squeezing in Lasers with Two-Photon Saturable Absorbers

P. García Fernández, Luigi A. Lugiato, Francisco Javier Bermejo

Published Jan 1, 1991• 0 citations
Publisher
DOI
10.1007/978-3-642-76373-1_5

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Lasers with two-photon saturable absorbers exhibit a phase instability similar to that of two-photon optical bistability. Beyond the phase instability threshold the output intensity breaks into spontaneous oscillations. Analytical perturbative solutions have been found and we have linearized the Fokker-Planck equation around these solutions. The drift and diffusion matrices have been perturbatively developed and we obtained a time-dependent Ornstein-Uhlenbeck stochastic process. We have calculated the amplitude correlations and squeezing spectrum near but above the threshold for a Hopf bifurcation in bad cavity conditions.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Aug 1, 1995•2 citations
It is shown that a laser with a two-photon saturable absorber exhibits a phase instability similar to that of two-photon optical bistability. The authors calculate the spectrum of the intensity fluctuations in the output field under conditions of exact resonance between the amplifier and the absorber. In the bad-cavity limit the relevant part of the spectrum assumes a simple Lorentzian form; as the phase-instability threshold is approached, the reduction of quantum noise becomes perfect for small frequencies.
In a previous work we have analytically studied the amplitude squeezing spectrum in the self-pulsing domain of lasers with two-photon saturable absorbers [1]. We used a second-order perturbative expansion for the drift and diffusion matrices associated with a time-dependent Ornstein - Uhlenbeck stochastic process. Due to self-pulsing, the correlation functions are time dependent and have been time averaged in order to apply the Wiener - Khintchine theorem . We will show that the amplitude and intensity spectra in the self-pulsing regime are no longer proportional as in the case of the stationary state and the differences between both spectra will be discussed in comparison with the stationary case.
Lasers with two-photon saturable absorbers exhibit a phase instability similar to that of two-photon optical bistability. Beyond the phase instability threshold the output intensity breaks into spontaneous oscillations. Analytical perturbative solutions have been found and we have linearized the Fokker-Planck equation around these solutions. The drift and diffusion matrices have been perturbatively developed and we obtained a time-dependent Ornstein-Uhlenbeck stochastic process. We have calculated the amplitude correlations and squeezing spectrum near but above the threshold for a Hopf bifurcation in bad cavity conditions.