AuthorJakobsen, Per Kristen.
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PublisherThe University of Arizona.
RightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
AbstractIn the first part we study linear stability of travelling wave solutions of a system of equations derived from the Maxwell-Bloch system by adiabatically eliminating the polarization. For the reduced system we find exact conditions for stability and instability. We also find that the adiabatic elimination procedure produces a very badly behaved system in the presence of diffraction. The full Maxwell-Bloch system or the system we get by removing both the polarization and the inversion adiabatically does not have these problems. In the second part we study the stability of index guided laser arrays using an ODE model derived by a coupled mode approach. Stationary solutions to the model equations are found under free running and injection locking conditions and their stability are investigated numerically and analytically for large arrays.
Degree ProgramApplied Mathematics