Investigation of Transient Response of Erbium-doped Fiber Lasers by Semi-classical Theory

Abstract

The transient response of all optical gain clamped multi channel erbium doped fiber amplifiers (EDFA's) and optical fiber inverter is studied by a semi-classical model. Using the semi-classical theory, the electric field interacting with mater is considered classical and the medium is quantized according to the equations of motion for density matrix. The rate equations and self consistency equations, which yield amplitude and phase of the electric fields of oscillator and amplifying channels are derived by considering Maxwell's equations and equation of motion of density matrix. The governing equations form a system of coupled partial differential equations. The relaxation oscillation behavior of stabilized multi channels erbium doped fiber amplifier and transient time response of an optical fiber inverter are simulated by the numerical solution of this system. The theoretical findings are in a good agreement with the previous experimental results that are reported.