Subharmonic transition in an optically injected semiconductor laser: Theory and experiments

A. Gavrielides, T. Erneux, V. Kovanis, P. M. Alsing, T. B. Simpson

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The equations for a semiconductor laser subject to detuned optical injection are analysed using asymptotic methods. We derive a third-order equation for the phase of the laser field which is then investigated for small injection but arbitrary frequency detuning. The long-time solution is a small amplitude time-periodic solution with a frequency close to the detuning except if the detuning is close to a multiple of the free-running laser relaxation frequency (resonance). We examine the case of subharmonic resonance, injecting at twice the relaxation resonance frequency, in detail. In addition to period-doubling bifurcations, we show the coexistence of bifurcation and isolated branches of solutions. Our approximate results are in good agreement with the numerical bifurcation diagram obtained from the original laser equations. Our analysis motivated a series of new experiments on laser diodes operating in the weak injection but large detuning regime. The experimental spectra show clearly the period-doubling bifurcation as well as the shifting of the slave-laser frequency predicted by our analysis.

Original languageEnglish
Pages (from-to)575-585
Number of pages11
JournalJournal of Optics B: Quantum and Semiclassical Optics
Volume9
Issue number4
Publication statusPublished - Aug 1997
Externally publishedYes

Fingerprint

Laser theory
Semiconductor lasers
semiconductor lasers
Lasers
period doubling
injection
Experiments
lasers
asymptotic methods
diagrams

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Atomic and Molecular Physics, and Optics
  • Engineering(all)

Cite this

Gavrielides, A., Erneux, T., Kovanis, V., Alsing, P. M., & Simpson, T. B. (1997). Subharmonic transition in an optically injected semiconductor laser: Theory and experiments. Journal of Optics B: Quantum and Semiclassical Optics, 9(4), 575-585.

Subharmonic transition in an optically injected semiconductor laser : Theory and experiments. / Gavrielides, A.; Erneux, T.; Kovanis, V.; Alsing, P. M.; Simpson, T. B.

In: Journal of Optics B: Quantum and Semiclassical Optics, Vol. 9, No. 4, 08.1997, p. 575-585.

Research output: Contribution to journalArticle

Gavrielides, A, Erneux, T, Kovanis, V, Alsing, PM & Simpson, TB 1997, 'Subharmonic transition in an optically injected semiconductor laser: Theory and experiments', Journal of Optics B: Quantum and Semiclassical Optics, vol. 9, no. 4, pp. 575-585.
Gavrielides, A. ; Erneux, T. ; Kovanis, V. ; Alsing, P. M. ; Simpson, T. B. / Subharmonic transition in an optically injected semiconductor laser : Theory and experiments. In: Journal of Optics B: Quantum and Semiclassical Optics. 1997 ; Vol. 9, No. 4. pp. 575-585.
@article{ac3e4eef46d94b4a815113f06818b5e9,
title = "Subharmonic transition in an optically injected semiconductor laser: Theory and experiments",
abstract = "The equations for a semiconductor laser subject to detuned optical injection are analysed using asymptotic methods. We derive a third-order equation for the phase of the laser field which is then investigated for small injection but arbitrary frequency detuning. The long-time solution is a small amplitude time-periodic solution with a frequency close to the detuning except if the detuning is close to a multiple of the free-running laser relaxation frequency (resonance). We examine the case of subharmonic resonance, injecting at twice the relaxation resonance frequency, in detail. In addition to period-doubling bifurcations, we show the coexistence of bifurcation and isolated branches of solutions. Our approximate results are in good agreement with the numerical bifurcation diagram obtained from the original laser equations. Our analysis motivated a series of new experiments on laser diodes operating in the weak injection but large detuning regime. The experimental spectra show clearly the period-doubling bifurcation as well as the shifting of the slave-laser frequency predicted by our analysis.",
author = "A. Gavrielides and T. Erneux and V. Kovanis and Alsing, {P. M.} and Simpson, {T. B.}",
year = "1997",
month = "8",
language = "English",
volume = "9",
pages = "575--585",
journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",
issn = "0953-4075",
publisher = "IOP Publishing Ltd.",
number = "4",

}

TY - JOUR

T1 - Subharmonic transition in an optically injected semiconductor laser

T2 - Theory and experiments

AU - Gavrielides, A.

AU - Erneux, T.

AU - Kovanis, V.

AU - Alsing, P. M.

AU - Simpson, T. B.

PY - 1997/8

Y1 - 1997/8

N2 - The equations for a semiconductor laser subject to detuned optical injection are analysed using asymptotic methods. We derive a third-order equation for the phase of the laser field which is then investigated for small injection but arbitrary frequency detuning. The long-time solution is a small amplitude time-periodic solution with a frequency close to the detuning except if the detuning is close to a multiple of the free-running laser relaxation frequency (resonance). We examine the case of subharmonic resonance, injecting at twice the relaxation resonance frequency, in detail. In addition to period-doubling bifurcations, we show the coexistence of bifurcation and isolated branches of solutions. Our approximate results are in good agreement with the numerical bifurcation diagram obtained from the original laser equations. Our analysis motivated a series of new experiments on laser diodes operating in the weak injection but large detuning regime. The experimental spectra show clearly the period-doubling bifurcation as well as the shifting of the slave-laser frequency predicted by our analysis.

AB - The equations for a semiconductor laser subject to detuned optical injection are analysed using asymptotic methods. We derive a third-order equation for the phase of the laser field which is then investigated for small injection but arbitrary frequency detuning. The long-time solution is a small amplitude time-periodic solution with a frequency close to the detuning except if the detuning is close to a multiple of the free-running laser relaxation frequency (resonance). We examine the case of subharmonic resonance, injecting at twice the relaxation resonance frequency, in detail. In addition to period-doubling bifurcations, we show the coexistence of bifurcation and isolated branches of solutions. Our approximate results are in good agreement with the numerical bifurcation diagram obtained from the original laser equations. Our analysis motivated a series of new experiments on laser diodes operating in the weak injection but large detuning regime. The experimental spectra show clearly the period-doubling bifurcation as well as the shifting of the slave-laser frequency predicted by our analysis.

UR - http://www.scopus.com/inward/record.url?scp=0003726105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003726105&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0003726105

VL - 9

SP - 575

EP - 585

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 4

ER -