Computer study of some dynamical nonlinear optical systems

This paper presents some computer studies of the behavior of dynamical systems in nonlinear optics. These studies were realized together by students and professors as student homework, and presented at the student annual Scientific Session. They were awarded with prizes and diplomas. The Lorenz model, the logistic equation, Henon and Ikeda models were used for simulating the chaotic behavior of the systems in QBASIC. Then systems able to generate practical test-functions (defined as functions which differ to zero on a certain interval and possessing only a finite number of continuous derivatives on the whole real axis) are studied. The shape of the output signal, obtained by numerical simulations in Matlab based on Runge-Kutta functions, is analyzed, being shown that for high-frequency inputs an external observer could notice, in certain condition, the generation of two different pulses corresponding to two distinct envelopes. Results are in accordance with other for characterizing the nonlinear optical and dielectric materials.