Unstable Emission From Random Lasers
Presented at IEEE Photonics Society Summer Session 2019 (Jul 8, 2019)
Random lasers are unique systems where scattering contributes to formation of high-Q resonances in a random structure. The theoretical descriptions of these systems has largely been statistical or phenomenological until only recently, calling into question the origins and mechanisms governing formation of strong instabilities in these systems. In this presentation, the conditions leading to instability are derived from the author’s development of a time-dependent, self-consistent random laser theory. Stability conditions are derived directly in this system under the consideration of relatively long pulses compared to the carrier relaxation time. These results indicate the potential for relaxation oscillations with unique spatial structure and a Hopf bifurcation during excitation. Instabilities are analyzed as Poincare’-Bendixson phenomena to derive some conditions leading to stable or unstable transient behavior.
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