In present paper correlations between different parts of spectrum of a fiber laser with randomly distributed feedback (RDFL) were experimentally measured directly. Implemented statistical analysis demonstrate weak cross-correlations between different lines in generation spectrum. These correlations were vizualized by plotting 2-D probability density functions. Linear correlation coefficient (Pearson coefficient) was calculated for each pair of spectrum lines.
Random fibre lasers constitute the class of random lasers, where the feedback is provided by amplified Rayleigh scattering on sub-micron refractive index inhomogenities randomly distributed over the fibre length. It is known than the nature of Rayleigh scattering is elastic. However, as the laser generates a smooth spectra, the feedback mechanism in random fibre lasers has been assumed to be incoherent. In the present talk we will use a real-time spectral measurement technique based on a scanning Fabry-Perot interferometer to reveal fast dynamics of the random fibre laser spectrum. We observe long-living narrowband components in the generation spectrum, and make a statistical analysis of a large number single-scan spectra to reveal a preferential interspacing between narrow-components. Further, we will discuss the results of advanced real-time spectral measurements via heterodyne-based measurements. We will show that ultra-narrow spectral components (with spectral width down to 1 kHz) are generated. The existence of such narrowband spectral components, together with their observed correlations, establishes a long-missing parallel between the fields of random fibre lasers and conventional random lasers.
We present recent results on measurements of intensity spatio-temporal dynamics in passively mode-locked fibre laser. We experimentally uncover distinct, dynamic and stable spatio-temporal generation regimes of various stochasticity and periodicity properties in though-to-be unstable laser. We present a method to distinguish various types of generated coherent structures, including rogue and shock waves, within the radiation by means of introducing of intensity ACF evolution map. We also discuss how the spectral dynamics could be measured in fiber lasers generating irregular train of pulses of quasi-CW generation via combination of heterodyning and intensity spatio-temporal measurement concept.
In the present paper we numerically study instrumental impact on statistical properties of quasi-CW Raman fiber laser
using a simple model of multimode laser radiation. Effects, that have the most influence, are limited electrical bandwidth
of measurement equipment and noise. To check this influence, we developed a simple model of the multimode quasi-
CW generation with exponential statistics (i.e. uncorrelated modes). We found that the area near zero intensity in
probability density function (PDF) is strongly affected by both factors, for example both lead to formation of a negative
wing of intensity distribution. But far wing slope of PDF is not affected by noise and, for moderate mismatch between
optical and electrical bandwidth, is only slightly affected by bandwidth limitation. The generation spectrum often
becomes broader at higher power in experiments, so the spectral/electrical bandwidth mismatch factor increases over the
power that can lead to artificial dependence of the PDF slope over the power. It was also found that both effects
influence the ACF background level: noise impact decreases it, while limited bandwidth leads to its increase.
Multiwavelength lasing in the random distributed feedback fiber laser is demonstrated by employing an all fiber Lyot filter. Stable multiwavelength generation is obtained, with each line exhibiting sub-nanometer line-widths. A flat power distribution over multiple lines is also obtained, which indicates the contribution of nonlinear wave mixing towards power redistribution and equalization in the system. The multiwavelength generation is observed simultaneously in first and second Stokes waves.