Computer modeling of radiation of free oscillators

Abstract

The article discusses a system of computer simulation of superradiance of a system of free oscillators described by a system of ordinary differential equations of complex variables. The system of equations is solved by the Runge-Kudt method modified for complex variables. The model's adequacy increases with an increase in the number of oscillators, which leads to an increase in the number of differential equations of complex variables, a linear increase in memory consumption and a cubic increase in time consumption. The developed program made it possible to increase the number of oscillators by orders of magnitude in comparison with previous simulations. Parallelization and vectorization of computations made it possible to obtain acceptable time parameters for this. The model describes in a one-dimensional approximation the generation of an electromagnetic field by oscillators located in an open resonator. In this case, the development of the so-called dissipative instability, the dissipative generation regime, is possible. It is assumed that the oscillators do not interact with each other and only the resonator field affects their behavior. If the resonator field is absent or small, the superradiance regime is possible, when the essential radiation of each oscillator and the field in the system is the sum of all the eigenfields of the oscillators. In the dissipative regime of instability generation, the system of oscillators synchronizes the induced resonator field. Synchronization of oscillators in the superradiance mode owes its existence to the integral field of the entire system of oscillators. The computer modeling system provides for the tasks of the initial conditions of the problem, the parameters of the system of equations, the time interval, step by time, etc. Visualization of the obtained solution of the system of equations has been implemented.