Abstract
Transition times among different stabilized periodic attractors in a chaotic laser diode, which are achieved with the HFI control method by applying a step-function signal to a modulation parameter, are typically tens of ns. These are longer than typical full round times in the stabilized periodic attractor. In order to shorten the transition time, Occasional Proportional Feedback (OPF) technique was applied in a laser diode for the first time. This technique requires the current feedback, which is proportional to the deviation of the chaotic output of the laser from the orbit, to stabilize into a certain Unstable Periodic Orbit (UPO), which exists inside the chaos attractor. We applied this control method at the poincare cross-section of a chaos attractor. We calculated the coordinates of the UPO, to which the chaotic attractor is stabilized, in the poincare cross-section, and found linear control parameters necessary for approaching to the UPO. We stabilized diode laser chaos to the periodic state of period-I or period-6 by OPF. From a statistical distribution of the transition times obtained for a final state of period-1, the average transition time is estimated to approximately 17.5ns, which is shorter than the time constant obtained with HFI for the similar conditions.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |
| Publisher | Society of Photo-Optical Instrumentation Engineers |
| Pages | 769-777 |
| Number of pages | 9 |
| Volume | 3625 |
| Publication status | Published - 1999 |
| Event | Proceedings of the 1999 Physics and Simulation of Optoelectronic Devices VII - San Jose, CA, USA Duration: 1999 Jan 25 → 1999 Jan 29 |
Other
| Other | Proceedings of the 1999 Physics and Simulation of Optoelectronic Devices VII |
|---|---|
| City | San Jose, CA, USA |
| Period | 99/1/25 → 99/1/29 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Condensed Matter Physics
Cite this
Transient characteristics between periodic attractors stabilized by OPF method in a laser diode. / Sato, Takahiro; Uchida, Atsushi; Kannari, Fumihiko.
Proceedings of SPIE - The International Society for Optical Engineering. Vol. 3625 Society of Photo-Optical Instrumentation Engineers, 1999. p. 769-777.Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Transient characteristics between periodic attractors stabilized by OPF method in a laser diode
AU - Sato, Takahiro
AU - Uchida, Atsushi
AU - Kannari, Fumihiko
PY - 1999
Y1 - 1999
N2 - Transition times among different stabilized periodic attractors in a chaotic laser diode, which are achieved with the HFI control method by applying a step-function signal to a modulation parameter, are typically tens of ns. These are longer than typical full round times in the stabilized periodic attractor. In order to shorten the transition time, Occasional Proportional Feedback (OPF) technique was applied in a laser diode for the first time. This technique requires the current feedback, which is proportional to the deviation of the chaotic output of the laser from the orbit, to stabilize into a certain Unstable Periodic Orbit (UPO), which exists inside the chaos attractor. We applied this control method at the poincare cross-section of a chaos attractor. We calculated the coordinates of the UPO, to which the chaotic attractor is stabilized, in the poincare cross-section, and found linear control parameters necessary for approaching to the UPO. We stabilized diode laser chaos to the periodic state of period-I or period-6 by OPF. From a statistical distribution of the transition times obtained for a final state of period-1, the average transition time is estimated to approximately 17.5ns, which is shorter than the time constant obtained with HFI for the similar conditions.
AB - Transition times among different stabilized periodic attractors in a chaotic laser diode, which are achieved with the HFI control method by applying a step-function signal to a modulation parameter, are typically tens of ns. These are longer than typical full round times in the stabilized periodic attractor. In order to shorten the transition time, Occasional Proportional Feedback (OPF) technique was applied in a laser diode for the first time. This technique requires the current feedback, which is proportional to the deviation of the chaotic output of the laser from the orbit, to stabilize into a certain Unstable Periodic Orbit (UPO), which exists inside the chaos attractor. We applied this control method at the poincare cross-section of a chaos attractor. We calculated the coordinates of the UPO, to which the chaotic attractor is stabilized, in the poincare cross-section, and found linear control parameters necessary for approaching to the UPO. We stabilized diode laser chaos to the periodic state of period-I or period-6 by OPF. From a statistical distribution of the transition times obtained for a final state of period-1, the average transition time is estimated to approximately 17.5ns, which is shorter than the time constant obtained with HFI for the similar conditions.
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M3 - Chapter
AN - SCOPUS:0032666098
VL - 3625
SP - 769
EP - 777
BT - Proceedings of SPIE - The International Society for Optical Engineering
PB - Society of Photo-Optical Instrumentation Engineers
ER -