PHASE SYNCHRONIZATION OF PERIODIC AND CHAOTIC STATES INDUCED BY EXTERNAL OPTICAL INJECTION IN SEMICONDUCTOR LASERS

2000 ◽  
Vol 10 (10) ◽  
pp. 2441-2446 ◽  
Author(s):  
E. LARIONTSEV
Keyword(s):  
Numerical Simulation ◽  
Periodic Solutions ◽  
Semiconductor Lasers ◽  
Phase Synchronization ◽  
Period Doubling ◽  
Injection Locking ◽  
Optical Injection ◽  
Frequency Detuning ◽  
Stable Periodic ◽  
Unstable Part

We present results on a numerical simulation of phase synchronization of the periodic and chaotic states induced by optical injection in a semiconductor laser. Such states occur in an unstable part of the injection locking region. We find two branches of the stable periodic solutions (bistability) which are synchronized by the injected signal. We show that phase synchronization of the periodic states exists in the truncated period-doubling cascade to chaos and is maintained in some region of the chaotic states. We present a mapping of the region of synchronized chaotic states as a function of the amplitude and frequency detuning of the external optical injection.

scholarly journals Chaotic breakdown of a periodically forced, weakly damped pendulum

1992 ◽  
Vol 34 (2) ◽  
pp. 153-173 ◽  
Author(s):  
Peter J. Bryant
Keyword(s):  
Phase Space ◽  
Periodic Solutions ◽  
Initial Conditions ◽  
Period Doubling ◽  
Dimensionless Frequency ◽  
Frequency Range ◽  
Time Intervals ◽  
Maximum Acceleration ◽  
Periodic Oscillations ◽  
Stable Periodic

AbstractAn investigation is made of the transition from periodic solutions through nearly-periodic solutions to chaotic solutions of the differential equation governing forced coplanar motion of a weakly damped pendulum. The pendulum is driven by horizontal, periodic forcing of the pivot with maximum acceleration Є g and dimensionless frequency ω As the forcing frequency ω is decreased gradually at a sufficiently large forcing amplitude Є, it has been shown previously that the pendulum progresses from symmetric oscillations of period T (= 2 π/ω) into a symmetry-breaking, period-doubling sequence of stable, periodic oscillations. There are two related forms of asymmetric, stable oscillations in the sequence, dependent on the initial conditions. When the frequency is decreased immediately beyond the sequence, the oscillations become unstable but remain in the neighbourhood in (θ,) phase space of one or other of the two forms of periodic oscillations, where θ(t) is the pendulum angle with the downward vertical. As the frequency is decreased further, the oscillations move intermittently between the neighbourhoods in (θ,) phase space of each of the two forms of periodic oscillations, in paired nearly-periodic oscillations. Further decrease of the forcing frequency leads to time intervals in which the motion is strongly unstable, with the pendulum passing intermittently over the pivot, interspersed with time intervals when the motion is nearly-periodic and only weakly unstable. The strongly-unstable intervals dominate in fully chaotic oscillations. Windows of independent, stable, periodic oscillations occur throughout the frequency range investigated. It is shown in an appendix how the Floquet method may be interpreted to describe the linear stability of the periodic and nearly-periodic solutions, and the windows of periodic oscillations in the investigated frequency range are listed in a second appendix.

scholarly journals Optical Sideband Injection Locking Using Waveguide Based External Cavity Semiconductor Lasers for Narrow-Line, Tunable Microwave Generation

Photonics ◽  
2019 ◽  
Vol 6 (3) ◽  
pp. 81 ◽  
Author(s):  
Md. Rezaul Hoque Khan ◽  
Md. Ashraful Hoque
Keyword(s):  
Phase Noise ◽  
Semiconductor Lasers ◽  
External Cavity ◽  
Injection Locking ◽  
Optical Injection ◽  
Optical Cavities ◽  
Microwave Generation ◽  
Microwave Signals ◽  
Tunable Frequency ◽  
External Cavity Semiconductor Lasers

The generation by optical injection locking of spectrally unadulterated microwave signals using waveguide based external cavity semiconductor lasers (WECSL) is demonstrated. A tunable frequency of 2–11 GHz, limited by the modulator’s bandwidth and the photodetector (PD), was created as proof-of-experiment by the injection locking of the two WESCLs. A single sideband (SSB) phase noise of −75 dBc/Hz from the generated carrier at 10 kHz offset and a phase noise variance at an optimum injection ratio region was 0.03 rad2, corresponding to 1.7°, were observed. The main feature of this approach is the consolidation of the upsides of microwave generation at low phase noise with a broad tuning range and the capacity of hybrid photonic integration. In addition, the injection locking characteristics were used to determine the Q factor of the complicated optical cavities with unknown inner losses.

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