Abstract
We study the behaviour of a semiconductor laser subject to phase-conjugate feedback when the interaction time of the phase-conjugating mirror changes. With continuation techniques we present two-parameter bifurcation diagrams in the plane of feedback strength versus pump current, which change qualitatively as the interaction time of the mirror is increased. This reveals that for small interaction times the assumption of instantaneous feedback is justified. On the other hand, increasingly larger interaction times lead to considerable changes in the locking region. By investigating how curves of Hopf bifurcations change with the interaction time, we show how more complicated, chaotic dynamics become suppressed. One-parameter bifurcation diagrams as a function of the pump current, obtained by simulation, complement the continuation analysis.
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