Computational Simulation of Laser Dynamics as a Cooperative Phenomenon

Abstract

The different kinds of behavior exhibited by the system in a laser dynamics simulation using a cellular automata model are analyzed. Three distinct types of behavior have been found: laser constant operation, laser spiking and a complex behavior showing irregular oscillations. In the last case, the power spectrum follows a power law of the type 1/f − with exponent close to = 2. In the laser spiking regime, the dependence of the decay rate of the oscillations is found to be in good agreement with the predictions of the theoretical laser rate equations and the experimental phenomenology. In our model the system components evolve under local rules which reproduce the physics of the laser system at the microscopic level, and the laser properties appear as cooperative emergent phenomena associated to these rules.

Parallel Implementation of a Cellular Automaton Model for the Simulation of Laser Dynamics

“…The results of the simulations carried out with a sequential implementation of the 2D CA laser model (previously presented in references [9,10]) are reproduced with the present parallel implementation. An example is shown in Fig.…”

“…A laser system is modeled by a cellular automaton [9,10] defined on a twodimensional square lattice of N c = L × L cells with periodic boundary conditions. Two variables a i (t) and c i (t) are associated with each node of the CA.…”

“…In this work, we present a parallel implementation in two dimensions of a discrete model of laser dynamics based on CA, introduced in references [9,10,11]. This implementation will allow us to run large size 2D simulations of the model on clusters of workstations.…”

Performance Analysis of a Parallel Discrete Model for the Simulation of Laser Dynamics

“…Cellular automata (CA), in particular, are such a class of spatially and temporally discrete mathematical systems, characterized by local interaction and synchronous dynamical evolution [1]. They have provided good models for a wide variety of physical systems exhibiting cooperative phenomena [2], and have recently been successfully applied to model laser dynamics [3,4,5]. From a practical point of view, CA constitute a very interesting approach to carry out realistic high performance simulations, thanks to its intrinsic parallel nature which makes them particularly suitable to be naturally and efficiently implemented in parallel computers.…”

“…This model was presented in references [3,4], and a further application of it was shown in reference [5]. While those papers discussed a sequential implementation of the model, to our best knowledge, this problem has never been modelled with a parallel CA.…”