M.Sc Thesis

M.Sc StudentShumakher Evgeny
SubjectFundamental Characteristics of Locked Electro-Optic Loops
DepartmentDepartment of Electrical and Computer Engineering
Supervisor PROFESSOR EMERITUS Gad Eisenstein


One of the fundamental properties of an autonomous self sustained system is its ability to withstand perturbation to its steady state. Deviations from steady state are separated into two orthogonal dimensions: the amplitude and phase noise. The nature of these two turns out to be vastly different; while amplitude perturbations are countered by the non-linear restorative force sustaining the system, phase errors always exist with an ever increasing variance. This notion renders small signal analysis of phase noise inadequate and often even erroneous. Very few rigorous analytical models describing phase noise exist and alternative numerical treatments are possible.

The problem intensifies when injection locking (uni or bi directional in fundamental or harmonic modes) is considered. Being one of the defining properties of a nonlinear autonomous system, the phenomenon does not lend itself well to analytical analysis. Consequently, even though some intuition abundant analytical studies are available in the literature, no analytical models of comparable level of rigor to that of single oscillator analysis are known to exist.

This thesis describes an innovative numerical model which enabled us to fully explore the fundamental characteristics of single as well various locked oscillator topologies. Several limitations of data storage space and computational complexity were overcome using advanced signal processing methods and programming routines.

Topologies representing several classes of typical physical systems were simulated. Experiments in the optoelectronic domain were performed aimed at solidifying the numerically acquired conjectures. These experiments confirm the model findings and shed light on the details of the locking mechanism.