An analytical study of a periodically driven laser with a saturable absorber |
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| Authors: | TW Carr T Erneux |
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| Institution: | (1) Department of Mathematics, Southern Methodist University, Dallas, TX 75275-0156, USA, US;(2) Université Libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, C.P. 231, 1050 Bruxelles, Belgium, BE |
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| Abstract: | We consider the rate equations for a laser with an intracavity saturable absorber and subject to a periodically modulated
pump. By deriving simplified equations for a map valid for strongly pulsating regimes, analytical conditions are determined
that specify the properties of both frequency-locked and unlocked behaviors. As the strength of the modulation is increased,
quasiperiodic and period-doubling bifurcations are predicted. However, only the transition from locking to non-locking through
a quasiperiodic bifurcation is possible for realistic values of the parameters. Our results are consistent with previous numerical
and experimental studies of modulated lasers with a saturable absorber.
Received 10 March 2001 |
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| Keywords: | PACS 42 65 Sf Dynamics of nonlinear optical systems optical instabilities optical chaos and complexity and optical spatio-temporal dynamics – 42 60 Fc Modulation tuning and mode locking – 42 60 Gd Q-switching |
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