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The injection laser limit of lasers subject to optical feedback

Semiconductor lasers subject to filtered feedback are examined in the limit of a narrow filter. Under particular conditions, the laser dynamical equations reduce to the equations of a laser subject to an externally injected signal. The conditions for steady state locking and Hopf bifurcation can be determined analytically allowing a deeper understanding of the role of the laser parameters on the perturbed semiconductor laser dynamics. The success of our analysis motivates the study of other feedback cases such as the laser subject to slow phase-conjugated feedback.