Abstract
In this work, we demonstrated Modeling and simulation of Mach-zehnder modulator(MZM) with optoelectronic feedback(OEFB) to generate optical instabilities output (periodic, quasi-periodic and chaos spatial signal). The Integro-Differential equation is the basis of this model. Control of the instabilities region of optical output from MZM been done by means optoelectronic feedback OEF delay time o. The results of the numerical solutions of the system of delay differential equations (DDE) for the OEO system showed that there is very large diversity in the oscillation systems, ranging from single oscillation, double-period oscillation, multi-period oscillations, and chaotic oscillations respectively, as functions of the photoelectric feedback delay times τD when the linear gain coefficient is fixed at the value of 3. The results of the numerical solutions also showed an increase in the dimensions of the chaotic oscillations at the large values of the delay times τD of the optoelectronic feedback. Numerical simulation results of the bifurcation diagram showed wide diversity of oscillation regimes, ranged from single period, period two, mixed-mode, quasi-periodic and chaotic oscillations, that are all functions of delay time parameter τD .