Secondary instabilities in broad-area class С lasers

Abstract

In the presented work, a numerical study of the spatio-temporal dynamics of a broad-area class C laser is carried out. The dynamics of the optical field in the case of the Andronov-Hopf instability, which itself does not lead to the emergence of spatio-temporal structures, is investigated. This bifurcation leads to spatially uniform oscillations in the system. This bifurcation leads to spatially uniform oscillations in the system. Using the Floquet method, we investigated the stability of this spatially homogeneous oscillations to small perturbations. We determined the regions of the model parameters at which secondary instabilities develop.
Using numerical simulations of the Maxwell-Bloch equations, we have shown that secondary instabilities lead to the formation of spiral waves, modulated standing waves, and spatiotemporal chaos. We used the Crank-Nicholson difference scheme to numerically solve the partial derivative equations. Modeling of the laser system was carried out both under periodic boundary conditions and taking into account boundary effects on the finite aperture. To account for the finite aperture, we used the pump profile, from transverse x,y coordinates.
The results presented in this paper are interesting from a fundamental point of view as an example of a pattern forming physical system. From the applied point of view, the results are important for the development of semiconductor lasers of dynamical class C (the case of a high-loss resonator).

Speaker

Anton A. Krents
Samara University
Russia

Discussion

Ask question