LAMBERT FUNCTION METHODs TO STUDY LASER DYNAMICS WITH TIME-DELAYED FEEDBACK

Real-time frequency dynamics and high-resolution spectra of a semiconductor laser with delayed feedback

The unstable emission of semiconductor lasers due to delayed optical feedback is characterized by combined intensity and frequency dynamics. Nevertheless, real-time experimental investigations have so far been restricted to measurements of intensity dynamics only. Detailed analysis and comparison with numerical models, therefore, have suffered from limited experimental information. Here, we rep...

Survey on Analysis of Time Delayed Systems via the Lambert W Function

This paper summarizes recent research on an approach for the analytical solution to systems of delay differential equations developed using the Lambert W function [26, 29], and its applications [25, 28]. Also, several outstanding research problems associated with the solution of systems of delay differential equations using the matrix Lambert W function are highlighted. The solution has the for...

DFB Laser Diode Dynamics with Optoelectronic Feedback

Chaotic Dynamics of a Laser with Feedback

Title of dissertation: CHAOTIC DYNAMICS OF A LASER WITH FEEDBACK Ryan Glen McAllister, Doctor of Philosophy, 2003 Dissertation directed by: Professor Rajarshi Roy Department of Physics A diode-pumped solid-state laser is constructed. The complex dynamics resulting from electronic feedback of the laser intensity are explored and characterized. The laser is further perturbed by periodic, quasiper...

Use of the Lambert W function for time-domain analysis of feedback fractional delay systems

The Lambert W function is defined as the multivalued inverse of the function w ! we 1⁄4 z. It has been applied to stability analysis of a class of fractional delay systems whose transcendental characteristic equation (TCE) can be remodelled in the form (asþ b)eþ d 1⁄4 0. The approach of using the Lambert W function to time-domain analysis of a class of feedback fractional-order time-delay syste...