Period-doubling route to chaos in a semiconductor laser with weak optical feedback

1993 ◽  
Vol 47 (3) ◽  
pp. 2249-2252 ◽  
Author(s):  
Jun Ye ◽  
Hua Li ◽  
John G. McInerney
Keyword(s):  
Semiconductor Laser ◽  
Optical Feedback ◽  
Period Doubling ◽  
Route To Chaos

Period‐doubling route to chaos in a semiconductor laser subject to optical injection

1994 ◽  
Vol 64 (26) ◽  
pp. 3539-3541 ◽  
Author(s):  
T. B. Simpson ◽  
J. M. Liu ◽  
A. Gavrielides ◽  
V. Kovanis ◽  
P. M. Alsing
Keyword(s):  
Semiconductor Laser ◽  
Period Doubling ◽  
Optical Injection ◽  
Route To Chaos

Sensitivity of routes to chaos in optically injected semiconductor lasers

2014 ◽  
Vol 23 (03) ◽  
pp. 1450036
Author(s):  
Najm M. Al-Hosiny
Keyword(s):  
Semiconductor Laser ◽  
Semiconductor Lasers ◽  
Period Doubling ◽  
Optical Signal ◽  
Optical Injection ◽  
Bifurcation Diagrams ◽  
Routes To Chaos ◽  
Route To Chaos

Two common routes to chaos, period-doubling and quasi-periodic, are theoretically investigated in semiconductor laser subject to optical injection. In particular, the sensitivity of the route to the injection of an additional optical signal is examined using bifurcation diagrams. Period-doubling route to chaos is found to be less sensitive to the perturbation of the second signal than the quasi-periodic route.

Optical spectra of a semiconductor laser with incoherent optical feedback

1990 ◽  
Vol 26 (6) ◽  
pp. 982-990 ◽  
Author(s):  
J.S. Cohen ◽  
F. Wittgrefe ◽  
M.D. Hoogerland ◽  
J.P. Woerdman
Keyword(s):  
Semiconductor Laser ◽  
Optical Feedback ◽  
Optical Spectra

Transitions Through Period Doubling Route to Chaos

1991 ◽  
Author(s):  
R. M. Evan-lwanowski ◽  
Chu-Ho Lu
Keyword(s):  
Period Doubling ◽  
Mirror Image ◽  
Flip Flop ◽  
Physical Systems ◽  
Starting Conditions ◽  
Spatial System ◽  
Stationary Bifurcation ◽  
Extreme Sensitivity ◽  
Route To Chaos ◽  
Parameter Values

Abstract The Duffing driven, damped, “softening” oscillator has been analyzed for transition through period doubling route to chaos. The forcing frequency and amplitude have been varied in time (constant sweep). The stationary 2T, 4T… chaos regions have been determined and used as the starting conditions for nonstationary regimes, consisting of the transition along the Ω(t)=Ω0±α2t,f=const., Ω-line, and along the E-line: Ω(t)=Ω0±α2t;f(t)=f0∓α2t. The results are new, revealing, puzzling and complex. The nonstationary penetration phenomena (delay, memory) has been observed for a single and two-control nonstationary parameters. The rate of penetrations tends to zero with increasing sweeps, delaying thus the nonstationary chaos relative to the stationary chaos by a constant value. A bifurcation discontinuity has been uncovered at the stationary 2T bifurcation: the 2T bifurcation discontinuity drops from the upper branches of (a, Ω) or (a, f) curves to their lower branches. The bifurcation drops occur at the different control parameter values from the response x(t) discontinuities. The stationary bifurcation discontinuities are annihilated in the nonstationary bifurcation cascade to chaos — they reside entirely on the upper or lower nonstationary branches. A puzzling drop (jump) of the chaotic bifurcation bands has been observed for reversed sweeps. Extreme sensitivity of the nonstationary bifurcations to the starting conditions manifests itself in the flip-flop (mirror image) phenomena. The knowledge of the bifurcations allows for accurate reconstruction of the spatial system itself. The results obtained may model mathematically a number of engineering and physical systems.

Sign in / Sign up

Export Citation Format

Share Document