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 |
|---|---|
| Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |
| Editors | M. Osinski, H. Amano, P. Blood |
| Pages | 469-479 |
| Number of pages | 11 |
| Volume | 4986 |
| DOIs | |
| Publication status | Published - 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 |
Other
| Other | PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI |
|---|---|
| Country | United States |
| City | San Jose, CA |
| Period | 1/27/03 → 1/31/03 |
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Keywords
- Delay
- Nonlinear dynamics
- Optical feedback
- Semiconductor lasers
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Condensed Matter Physics
Cite this
High frequency dynamics in delayed semiconductor lasers with short external cavity. / Sciamanna, M.; Erneux, T.; Gavrielides, A.; Kovanis, V.; Mégret, P.; Blondel, M.
Proceedings of SPIE - The International Society for Optical Engineering. ed. / M. Osinski; H. Amano; P. Blood. Vol. 4986 2003. p. 469-479.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
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
Y1 - 2003
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
UR - http://www.scopus.com/inward/record.url?scp=0242609043&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0242609043&partnerID=8YFLogxK
U2 - 10.1117/12.474386
DO - 10.1117/12.474386
M3 - Conference contribution
AN - SCOPUS:0242609043
VL - 4986
SP - 469
EP - 479
BT - Proceedings of SPIE - The International Society for Optical Engineering
A2 - Osinski, M.
A2 - Amano, H.
A2 - Blood, P.
ER -