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Journal of Nonlinear Optical Physics & Materials

ANALYTICAL MODEL FOR OPTICAL BISTABILITY IN LASER WITH SATURABLE ABSORBER

Smail Djabi, H. Boudoukha, Saïd Meguellati

Published Sep 1, 2011• 1 citation
Publisher

Abstract

In this paper, we develop a theoretical model that accurately describes the nonlinear phenomenon of optical bistability in Fabry-Perot laser containing a saturable absorber "LSA". We present an analytical model for optical bistability in a LSA. The physics of optical bistability in a classical optical resonant system such as Fabry-Perot etalon has been well-established, and can be described by simple analytical models. The photon intensities were determined as a function of the pumping rate of the active medium, and we analyzed the linear stability of the stationary solutions obtained.

DOI
10.1142/s0218863511006194

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In this paper, we develop a theoretical model that accurately describes the nonlinear phenomenon of optical bistability in Fabry-Perot laser containing a saturable absorber "LSA". We present an analytical model for optical bistability in a LSA. The physics of optical bistability in a classical optical resonant system such as Fabry-Perot etalon has been well-established, and can be described by simple analytical models. The photon intensities were determined as a function of the pumping rate of the active medium, and we analyzed the linear stability of the stationary solutions obtained.
A simple mathematical model to describe the action of a saturable absorber in a laser cavity (LSA) was developed. The approach considered here takes in a phenomenological way into account the essential physical processes which makes it possible to determine the principal parameters in a LSA and their influences on the optical bistability. We will study theoretically optical bistability in a trimodale laser containing a saturable absorber in the case that the active medium and absorber show a homogeneous broadening. We determine the densities of photons as function of the pumping of the active medium and analyze the linear stability of the solutions obtained.
Our work concerns the study of the effect of the optical bistability and multistability in a laser saturable absorber of a Fabry Perot resonator with a homogenous widening. We theoretically studied the influence of the losses of the resonators on the optical bistability by examining mainly the cases where the losses of the resonator depend on the position of the emitted mode of a frequency and the losses of the resonator depend on the density of photons We examined the influence of the physical parameters of laser saturable absorber such as the coefficient of saturation and pumping of the medium active and absorbing on the density of the photons for each loss We showed the effect of the optical bistability and multistability then we analyzed the linear stability of the solutions obtained.
The optical bistability (OB) behavior of single-mode Fabry- Perot lasers containing saturable absorber (LSA) is presented on the basis of the rate equations with allowance for spontaneous emission and spatial hole-burning. Special attention is paid to the case of dominant inhomogeneous broadening in both Lorentzian and Gaussian models. The OB occurrence conditions are clearly displayed in phase diagrams. The influence of the main LSA parameters on OB characteristics as well as on OB curves' stability are investigated in detail. Some practical suggestions for optimizing the bistable operation in LSA are also given.