The Extension Of Injection Locking Theory And Its Dynamical Behavior Analysis

Traditionally speaking, injection locking theory focusing on semiconductor lasers, including master-slave and external-cavity locking, has been studied ever since 1970s.They have been used to improve beam quality, raise output power, and change beam characters of lasers etc. In recent years enciphered communications based on master-slave injection has attracted much attention.At present, studies on injection locking have covered many stationary, dynamics and noise properties of lasers. There has been much in-depth progress made in the field. The study on cross-injection locking in this thesis is extracted from the experiment on external phase-locking of LDA. This is a very new topic and relevant studies are far less than injection-locking.The simplest cross-injection locking system comprises of two lasers or two units of LDA, They interact with each other via some mechanism such as direct injecting or external-reflecting injection. After a complex dynamic process, the two lasers come into states of locking periodic or chaos. Currently, all models describing this system contain six differential equations. It is no doubt that that system is much more complicate than injection locking depicted by three equations.To acquire analytical solutions to the six equations is a hard task and there is no reported result till now. We find a set of steady solutions when the two lasers have the same free-running frequency before locking and obtain the system locking range. The study shows that the steady locking range is approximately twice than that of master-slave locking system and the frequency of the locked lasers may shift.We use Four-order Runge-kutta to analyze the dynamic behavior of the system. By studying the variation of optical intensity vs. time, output spectra and...