Bifurcation analysis of a semiconductor laser subject to non-instantaneous phase-conjugate feedback

We consider how the behaviour of a semiconductor laser subject to phase-conjugate feedback depends on the interaction time of the phase-conjugating mirror. We employ continuation techniques to show how the bifurcation diagram in the plane of feedback strength versus pump current changes as the inter...

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Bibliographic Details
Published inOptics communications Vol. 231; no. 1; pp. 383 - 393
Main Authors Green, Kirk, Krauskopf, Bernd
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.02.2004
Elsevier Science
Subjects
Delay and functional equations
Delay differential equations
Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
Exact sciences and technology
Function theory, analysis
Fundamental areas of phenomenology (including applications)
Laser with phase-conjugate feedback
Lasers
Mathematical methods in physics
Non-instantaneous feedback
Nonlinear optics
Numerical continuation
Optics
Phase conjugation, optical mixing, and photorefractive effect
Phase conjugation, optical mixing; photorefractive and kerr effects
Physics
Semiconductor lasers; laser diodes
Laser with phase-conjugate feedback
Delay differential equations
42.65.Sf
02.30.Ks
42.65.Hw
Numerical continuation
Non-instantaneous feedback
Semiconductor lasers
Optical feedback
Solid state lasers
Digital simulation
Differential equations
Theoretical study
Bifurcation theory
Nonlinear optics
Phase conjugation
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Summary:We consider how the behaviour of a semiconductor laser subject to phase-conjugate feedback depends on the interaction time of the phase-conjugating mirror. We employ continuation techniques to show how the bifurcation diagram in the plane of feedback strength versus pump current changes as the interaction time of the mirror is increased. This shows that for interaction times below 0.1 ns the assumption of instantaneous feedback is justified. On the other hand, we show that increasingly larger interaction times lead to considerable changes in the size and qualitative structure of the locking region. Our study provides a more global view of the suppression of complicated and chaotic dynamics.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2003.12.026