High frequency dynamics in delayed semiconductor lasers with short external cavity

M. Sciamanna; T. Erneux; A. Gavrielides; V. Kovanis; P. Mégret; M. Blondel

doi:10.1117/12.474386

High frequency dynamics in delayed semiconductor lasers with short external cavity

M. Sciamanna, T. Erneux, A. Gavrielides, V. Kovanis, P. Mégret, M. Blondel

Research output: Contribution to journal › Conference article › peer-review

6 Citations (Scopus)

Abstract

We analyze the dynamics of a laser diode subject to optical feedback from a short external cavity (EC), i.e. with an EC round-trip time much smaller than the period of the laser relaxation oscillations (RO). Our numerical simulations are based on the Lang-Kobayashi (LK) equations for single mode edge-emitting lasers subject to weak/moderate optical feedback. A new, detailed, Hopf bifurcation analysis shows that LK equations admit both supercritical and subcritical Hopf bifurcation points. Subcritical Hopf points lead to time-periodic pulsating intensity solutions with a frequency close to half the RO frequency. In contrast, from supercritical Hopf bifurcations emerge harmonic intensity oscillations with a frequency either close to the RO frequency or to the EC frequency. Microwave oscillations are obtained, as a result of a beating between two EC modes. In general, these high frequency dynamics are stable only for a small range of feedback parameters. However, we find that decreasing the a factor largely improves the stability of the microwave oscillations and makes it possible to observe pulsating intensity solutions for a larger range of EC length. The high frequency intensity solutions of laser diodes with short EC are thought to be of great interest for new applications in all optical signal handling. Our results motivate new theoretical studies of LK equations with short EC.

Original language	English
Pages (from-to)	469-479
Number of pages	11
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	4986
DOIs	https://doi.org/10.1117/12.474386
Publication status	Published - Nov 27 2003
Externally published	Yes
Event	PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI - San Jose, CA, United States Duration: Jan 27 2003 → Jan 31 2003

Keywords

Delay
Nonlinear dynamics
Optical feedback
Semiconductor lasers

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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title = "High frequency dynamics in delayed semiconductor lasers with short external cavity",

abstract = "We analyze the dynamics of a laser diode subject to optical feedback from a short external cavity (EC), i.e. with an EC round-trip time much smaller than the period of the laser relaxation oscillations (RO). Our numerical simulations are based on the Lang-Kobayashi (LK) equations for single mode edge-emitting lasers subject to weak/moderate optical feedback. A new, detailed, Hopf bifurcation analysis shows that LK equations admit both supercritical and subcritical Hopf bifurcation points. Subcritical Hopf points lead to time-periodic pulsating intensity solutions with a frequency close to half the RO frequency. In contrast, from supercritical Hopf bifurcations emerge harmonic intensity oscillations with a frequency either close to the RO frequency or to the EC frequency. Microwave oscillations are obtained, as a result of a beating between two EC modes. In general, these high frequency dynamics are stable only for a small range of feedback parameters. However, we find that decreasing the a factor largely improves the stability of the microwave oscillations and makes it possible to observe pulsating intensity solutions for a larger range of EC length. The high frequency intensity solutions of laser diodes with short EC are thought to be of great interest for new applications in all optical signal handling. Our results motivate new theoretical studies of LK equations with short EC.",

keywords = "Delay, Nonlinear dynamics, Optical feedback, Semiconductor lasers",

author = "M. Sciamanna and T. Erneux and A. Gavrielides and V. Kovanis and P. M{\'e}gret and M. Blondel",

year = "2003",

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T1 - High frequency dynamics in delayed semiconductor lasers with short external cavity

AU - Sciamanna, M.

AU - Erneux, T.

AU - Gavrielides, A.

AU - Kovanis, V.

AU - Mégret, P.

AU - Blondel, M.

PY - 2003/11/27

Y1 - 2003/11/27

N2 - We analyze the dynamics of a laser diode subject to optical feedback from a short external cavity (EC), i.e. with an EC round-trip time much smaller than the period of the laser relaxation oscillations (RO). Our numerical simulations are based on the Lang-Kobayashi (LK) equations for single mode edge-emitting lasers subject to weak/moderate optical feedback. A new, detailed, Hopf bifurcation analysis shows that LK equations admit both supercritical and subcritical Hopf bifurcation points. Subcritical Hopf points lead to time-periodic pulsating intensity solutions with a frequency close to half the RO frequency. In contrast, from supercritical Hopf bifurcations emerge harmonic intensity oscillations with a frequency either close to the RO frequency or to the EC frequency. Microwave oscillations are obtained, as a result of a beating between two EC modes. In general, these high frequency dynamics are stable only for a small range of feedback parameters. However, we find that decreasing the a factor largely improves the stability of the microwave oscillations and makes it possible to observe pulsating intensity solutions for a larger range of EC length. The high frequency intensity solutions of laser diodes with short EC are thought to be of great interest for new applications in all optical signal handling. Our results motivate new theoretical studies of LK equations with short EC.

AB - We analyze the dynamics of a laser diode subject to optical feedback from a short external cavity (EC), i.e. with an EC round-trip time much smaller than the period of the laser relaxation oscillations (RO). Our numerical simulations are based on the Lang-Kobayashi (LK) equations for single mode edge-emitting lasers subject to weak/moderate optical feedback. A new, detailed, Hopf bifurcation analysis shows that LK equations admit both supercritical and subcritical Hopf bifurcation points. Subcritical Hopf points lead to time-periodic pulsating intensity solutions with a frequency close to half the RO frequency. In contrast, from supercritical Hopf bifurcations emerge harmonic intensity oscillations with a frequency either close to the RO frequency or to the EC frequency. Microwave oscillations are obtained, as a result of a beating between two EC modes. In general, these high frequency dynamics are stable only for a small range of feedback parameters. However, we find that decreasing the a factor largely improves the stability of the microwave oscillations and makes it possible to observe pulsating intensity solutions for a larger range of EC length. The high frequency intensity solutions of laser diodes with short EC are thought to be of great interest for new applications in all optical signal handling. Our results motivate new theoretical studies of LK equations with short EC.

KW - Delay

KW - Nonlinear dynamics

KW - Optical feedback

KW - Semiconductor lasers

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M3 - Conference article

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JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

T2 - PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI

Y2 - 27 January 2003 through 31 January 2003

ER -

High frequency dynamics in delayed semiconductor lasers with short external cavity

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