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

K Green; B Krauskopf

doi:10.1016/j.optcom.2003.12.026

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

K Green, B Krauskopf

Department of Engineering Mathematics

Research output: Working paper › Working paper and Preprints

31 Citations (Scopus)

123 Downloads (Pure)

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.

Original language	English
DOIs	https://doi.org/10.1016/j.optcom.2003.12.026
Publication status	Unpublished - 2004

Bibliographical note

Additional information: Later published by Elsevier Science (2004) Optics Communications, 231 (1-6), pp. 383-393. ISSN 0030-4018

Keywords

laser with phase-conjugate feedback
delay differential equations
non-instantaneous feedback
numerical continuation

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10.1016/j.optcom.2003.12.026

2004r04Submitted manuscript, 1.84 MB

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title = "Bifurcation analysis of a semiconductor laser subject to non-instantaneous phase-conjugate feedback",

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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N2 - 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.

AB - 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.

KW - laser with phase-conjugate feedback

KW - delay differential equations

KW - non-instantaneous feedback

KW - numerical continuation

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DO - 10.1016/j.optcom.2003.12.026

M3 - Working paper and Preprints

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

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