### Abstract

We numerically studied the chaotic dynamics of a laser diode (LD) system with optical injection, where a pseudorandom signal is applied to the drive current of the master LD, and compared two different methods of quantifying the orbital instability of the LD system, i.e., calculating the orbital expansion exponent (OEE) and the Lyapunov exponent. We found that both exponents are increased and the orbital instability is enhanced by applying a pseudorandom signal when the inherent system without the applied signal is a “window”. On the other hand, when the inherent system is chaotic, the OEE is increased and the Lyapunov exponent is decreased with increasing standard deviation of the applied signal. Although the two exponents have a different tendency, it is suggested that the variation of the standard deviation of the applied signal can be identified using both exponents. We then investigated the response of the orbital instability to the frequency range of the applied signal and showed that the orbital instability is efficiently enhanced by using the inherent system is a window and by applying a broad signal that does not have a frequency near the spectral peak of the inherent system and has lower-frequency components than this frequency.

Original language | English |
---|---|

Pages (from-to) | 233-243 |

Number of pages | 11 |

Journal | Optik |

Volume | 188 |

DOIs | |

Publication status | Published - 2019 Jul 1 |

### Fingerprint

### Keywords

- Chaotic laser diode
- Laser chaos
- Optical injection
- Semiconductor laser

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Electrical and Electronic Engineering

### Cite this

*Optik*,

*188*, 233-243. https://doi.org/10.1016/j.ijleo.2019.05.066

**Chaotic oscillation of laser diode with pseudorandom signal.** / Ebisawa, Satoshi; Maeda, Joji; Komatsu, Shinichi.

Research output: Contribution to journal › Article

*Optik*, vol. 188, pp. 233-243. https://doi.org/10.1016/j.ijleo.2019.05.066

}

TY - JOUR

T1 - Chaotic oscillation of laser diode with pseudorandom signal

AU - Ebisawa, Satoshi

AU - Maeda, Joji

AU - Komatsu, Shinichi

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We numerically studied the chaotic dynamics of a laser diode (LD) system with optical injection, where a pseudorandom signal is applied to the drive current of the master LD, and compared two different methods of quantifying the orbital instability of the LD system, i.e., calculating the orbital expansion exponent (OEE) and the Lyapunov exponent. We found that both exponents are increased and the orbital instability is enhanced by applying a pseudorandom signal when the inherent system without the applied signal is a “window”. On the other hand, when the inherent system is chaotic, the OEE is increased and the Lyapunov exponent is decreased with increasing standard deviation of the applied signal. Although the two exponents have a different tendency, it is suggested that the variation of the standard deviation of the applied signal can be identified using both exponents. We then investigated the response of the orbital instability to the frequency range of the applied signal and showed that the orbital instability is efficiently enhanced by using the inherent system is a window and by applying a broad signal that does not have a frequency near the spectral peak of the inherent system and has lower-frequency components than this frequency.

AB - We numerically studied the chaotic dynamics of a laser diode (LD) system with optical injection, where a pseudorandom signal is applied to the drive current of the master LD, and compared two different methods of quantifying the orbital instability of the LD system, i.e., calculating the orbital expansion exponent (OEE) and the Lyapunov exponent. We found that both exponents are increased and the orbital instability is enhanced by applying a pseudorandom signal when the inherent system without the applied signal is a “window”. On the other hand, when the inherent system is chaotic, the OEE is increased and the Lyapunov exponent is decreased with increasing standard deviation of the applied signal. Although the two exponents have a different tendency, it is suggested that the variation of the standard deviation of the applied signal can be identified using both exponents. We then investigated the response of the orbital instability to the frequency range of the applied signal and showed that the orbital instability is efficiently enhanced by using the inherent system is a window and by applying a broad signal that does not have a frequency near the spectral peak of the inherent system and has lower-frequency components than this frequency.

KW - Chaotic laser diode

KW - Laser chaos

KW - Optical injection

KW - Semiconductor laser

UR - http://www.scopus.com/inward/record.url?scp=85066024976&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066024976&partnerID=8YFLogxK

U2 - 10.1016/j.ijleo.2019.05.066

DO - 10.1016/j.ijleo.2019.05.066

M3 - Article

AN - SCOPUS:85066024976

VL - 188

SP - 233

EP - 243

JO - Optik

JF - Optik

SN - 0030-4026

ER -