Modeling of the spectrum in a random distributed feedback fiber laser within the power balance modes

The simplest model for a description of the random distributed feedback (RDFB) Raman fiber laser is a power balance model describing the evolution of the intensities of the waves over the fiber length. The model predicts well the power performances of the RDFB fiber laser including the generation threshold, the output power and pump and generation wave intensity distributions along the fiber. In the present work, we extend the power balance model and modify equations in such a way that they describe now frequency dependent spectral power density instead of integral over the spectrum intensities. We calculate the generation spectrum by using the depleted pump wave longitudinal distribution derived from the conventional power balance model. We found the spectral balance model to be sufficient to account for the spectral narrowing in the RDFB laser above the threshold of the generation

Theory of nonlinear whispering gallery mode dynamics in a cylindrical microresonator with a radius variation

We propose a comprehensive model describing the Kerr nonlinear dynamics of an electric field in a cylindrical microresonator with an effective radius variation, coupled to a radiation source. The proposed system of equations for coupled azimuthal modes takes into account full azimuthal dispersion as well as the influence of the radiation source on the field in the microresonator with the coupling coefficients determined experimentally. The model appears a powerful tool to study nonlinear effects, generation axial-azimuthal modes and optical frequency combs. We illustrate the power of the model with optimization of the coupling point of the light source, getting two order of magnitude improvement for the nonlinear threshold.Comment: 8 pages, 5 figure

Revealing spectral cross-correlations in radiation of multiwavelength fiber laser with randomly distributed feedback

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

Surface nanoscale axial photonics structures introduced by bending of optical fibers

The new manufacturing method for fabrication of Surface Nanoscale Axial Photonics (SNAP) structures has been developed. We showed experimentally that the bent fiber can achieve the nanometer-scale variation in the effective fiber radius sufficient for fabrication of SNAP microresonators. The advantage of the demonstrated method is in its simplicity, robustness, and mechanical tunability of the fabricated devices

Experimental and theoretical study of longitudinal power distribution in a random DFB fiber laser

We have measured the longitudinal power distribution inside a random distributed feedback Raman fiber laser. The observed distribution has a sharp maximum whose position depends on pump power. The spatial distribution profiles are different for the first and the second Stokes waves. Both analytic solution and results of direct numerical modeling are in excellent agreement with experimental observations

Anderson localization of light in synthetic photonic lattices

We make an comprehensive experimental and theoretical study of an effect of localization of light in photonic lattices realized in time domain with random optical potential. We show that localization occurs in whole range of disorder strength in full agreement with Anderson localization in 1D model. The disorder influence on modes structure is also discussed.This work was supported by Dynasty Foundation and President Scholarship in Russia

SNAP microresonators introduced by strong bending of optical fibers

We introduce a new method of the fabrication of surface nanoscale axial photonic (SNAP) microresonators through strong bending of an optical fiber. We experimentally demonstrate that geometric deformation and refractive index variation induced by bending is sufficient for the formation of a SNAP bottle resonator with nanoscale effective radius variation (ERV) along the fiber axis. In our experiment, we bend the optical fiber into a loop and investigate the properties of the fabricated tunable bottle resonator as a function of the loop dimensions. We find that the introduced ERV is approximately proportional to the local curvature of the loop, while the ERV maximum is proportional to the maximum of the loop curvature squared. The advantages of the demonstrated method are its simplicity, robustness, and ability to mechanically tune introduced resonant structures. This is of crucial importance for the creation of robust and tunable SNAP devices for applications in optical classical and quantum signal processing and ultraprecise sensing

Replica Symmetry Breaking in FRET-Assisted Random Laser Based on Electrospun Polymer Fiber

Spin-glass theory has been widely introduced to describe the statistical behaviors in complex physical systems. By analogy between disorder photonics and other complex systems, the glassy behavior, especially the replica symmetry breaking (RSB) phenomenon, has been observed in random lasers. However, previous studies only analyzed the statistical properties of the random laser systems with single gain material. Here, the first experimental evidence of the glassy behavior in a random laser with complex energy level structure is reported. This novel random laser is demonstrated based on the electrospun polymer fibers with the assistance of Förster resonance energy transfer (FRET). The electrospinning technology employed in the experiment herein promises high-volume production of random laser devices with multiple energy levels, enabling the comprehensive investigation of lasing properties in multi-energy level random laser system. Clear paramagnetic phase and spin-glass phase are observed in the FRET-assisted random laser under different pump energies. The RSB phase transition is verified to occur at the laser threshold, which is robust among the random lasers with different donor–acceptor ratio. The finding of RSB in FRET-assisted random laser provides a new statistical analysis method toward the laser system with complex energy level, for example, quantum cascade laser