Semiclassical Theory and Laser Differential Equations for Optoelectronic oscillator (OEO) Analysis

Abstract

In this chapter, the optoelectronic oscillator is represented as the quantum generator spanned by the positive feedback. Sections of this chapter are devoted to the model formation of the quantum generator, for which we use the semiclassical theory based on the dipole representation of the laser in double-level approximation. For formation of differential equations in quasi-stationary mode we use the three differential equations. This system establishes a connection between the active medium polarization, the electromagnetic field strength, the inversed population of particles on upper and lower energy levels, and pumping, taking into account the Q-factors of the optical resonator and the emission spectral line of the active medium and the population inertial properties. Examination of this system of nonlinear equations with inertial properties allows formation of the laser analog model in the dipole approximation.

This chapter is devoted to results’ presentation of the nonlinear fourth-order equations solution for the laser model in the dipole approximation. The plots of realizations of oscillating processes for two types of nonlinearities are analyzed. Results of computer solution for the quasi-stationary mode of laser generation are presented for fourth-order equation at linear-hyperbolic inertial nonlinearity of the active medium.