The synchronization of chaotic lasers was studied considering the coupling scheme with the intensity of light pulses from one laser saturating the other one. The experimental synchronization of two single mode CO2 lasers with saturable absorber is reviewed. Numerical simulations are presented for diode lasers made chaotic by optical feedback. Optical intensity saturation coupling was introduced in Lang–Kobayashi equations. Parameters were chosen such that both lasers were uncorrelated and chaotic before coupling and partially synchronize after coupling. Correlation functions for the numerical solutions were used to characterize the properties of the synchronism. They show partial in-phase and antiphase synchronism for the pulse intensities, depending on the coupling mechanism. These synchronisms are independent of optical interferometric effects and so, relevant for communication applications.

1.
K.
Otsuka
and
J.-L.
Chern
, “
Synchronization, attractor fission, and attractor fusion in a globally coupled laser system
,”
Phys. Rev. A
45
,
5052
(
1992
).
2.
Y.
Liu
,
P. C.
de Oliveira
,
M. B.
Danailov
, and
J. R. Rios
Leite
, “
Chaotic and periodic passive Q-switching in coupled CO2 lasers with a saturable absorber
,”
Phys. Rev. A
50
,
3464
(
1994
).
3.
T.
Sugawara
,
M.
Tashikawa
,
T.
Sukamoto
, and
T.
Shimizu
, “
Observation of synchronization in laser chaos
,”
Phys. Rev. Lett.
72
,
3502
(
1994
).
4.
R.
Roy
and
K. S.
Thornburg
, “
Experimental synchronization of chaotic lasers
,”
Phys. Rev. Lett.
72
,
2009
(
1994
).
5.
Y.
Liu
and
J. R. Rios
Leite
, “
Coupling two chaotic lasers
,”
Phys. Lett. A
191
,
134
(
1994
).
6.
F.
Rogister
,
A.
Locquet
,
D.
Pieroux
,
M.
Sciamanna
,
O.
Deparis
,
P.
Megret
, and
M.
Blondel
, “
Secure communication scheme using chaotic laser diodes subject to incoherent optical feedback and incoherent optical injection
,”
Opt. Lett.
26
,
1486
(
2001
).
7.
H. L.
Stover
and
W. H.
Steier
, “
Locking of laser oscillators by light injection
,”
Appl. Phys. Lett.
8
,
91
(
1966
).
8.
R. J.
Jones
,
P.
Rees
,
P. S.
Spencer
, and
K. A.
Shore
, “
Chaos and synchronization of self-pulsating laser diodes
,”
J. Opt. Soc. Am. B
18
,
166
(
2001
).
9.
T.
Heil
,
I.
Fischer
,
W.
Elsasser
,
J.
Mulet
, and
C. L.
Mirasso
, “
Chaos synchronization and spontaneous symmetry-breaking in symmetrically delayed coupled semiconductor lasers
,”
Phys. Rev. Lett.
86
,
795
(
2001
).
10.
A.
Egan
,
M.
Harleystead
,
P.
Rees
,
S.
Lynch
,
P.
McEvoy
,
J. O.
Gorman
, and
J.
Hegarty
, “
All-optical synchronization of self-pulsating laser diodes
,”
Appl. Phys. Lett.
68
,
3534
(
1996
).
11.
F.
Rogister
,
D.
Pieroux
,
M.
Sciamanna
,
P.
Megret
, and
M.
Blondel
, “
Anticipating synchronization of two chaotic laser diodes by incoherent optical coupling and its application to secure communications
,”
Opt. Commun.
207
,
295
(
2002
).
12.
U.
Parlitz
,
L.
Junge
, and
L.
Kocarev
, “
Subharmonic entrainment of unstable periodic orbits and generalized synchronization
,”
Phys. Rev. Lett.
79
,
3158
(
1997
).
13.
Y.
Cao
and
Y. C.
Lai
, “
Antiphase synchronism in chaotic systems
,”
Phys. Rev. E
58
,
382
(
1998
).
14.
M.
Tachikawa
,
F.-L.
Hong
,
K.
Tanii
, and
T.
Shimizu
, “
Deterministic chaos in passive Q-switching pulsation of a CO2 laser with saturable absorber
,”
Phys. Rev. Lett.
60
,
2266
(
1988
).
15.
R. M.
de Moraes
,
L. de B.
Oliveira-Neto
, and
J. R. Rios
Leite
, “
Analog circuits simulation of communication with chaotic lasers
,”
Appl. Phys. Lett.
70
,
1357
(
1997
).
16.
R. M.
de Moraes
,
B. F.
Uchôa-Filho
,
C.
Pimentel
,
R.
Palazzo
, and
J. R. Rios
Leite
, “
Shannon capacity and codes for communicating with a chaotic laser
,”
IEEE Trans. Commun.
50
,
001
(
2002
).
17.
I.
Fischer
,
Y.
Liu
, and
P.
Davis
, “
Synchronization of semiconductor laser dynamics on subnanosecond time scales and its potential use for chaos communication
,”
Phys. Rev. A
62
,
011801
(
2000
).
18.
A.
Uchida
,
Y.
Liu
,
P.
Davis
, and
T.
Aida
, “
Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers
,”
Phys. Rev. A
64
,
023801
(
2001
).
19.
J. M. L.
Figueiredo
,
A. R.
Boyd
,
C. R.
Stanley
,
C. N.
Ironside
,
S. G.
McMeekin
, and
A. M. P.
Leite
, “
Optical modulation at around 1550 nm in an InGaAlAs optical waveguide containing an InGaAs/AlAs resonant tunneling diode
,”
Appl. Phys. Lett.
75
,
3443
(
1999
).
20.
R.
Lang
and
K.
Kobayashi
, “
External optical feedback effects on semiconductor injection laser properties
,”
IEEE J. Quantum Electron.
QE-16
,
347
(
1980
).
21.
I.
Fischer
,
G. H. M.
Tarwijk
,
A. M.
Levine
,
W.
Elsässer
,
E.
Göbel
, and
D.
Lenstra
, “
Fast pulsing and chaotic itineracy with drift in the coherence collapse of semiconductor lasers
,”
Phys. Rev. Lett.
76
,
220
(
1996
).
22.
S.
Sivaprakasam
and
K. A.
Shore
, “
Signal masking for chaotic optical communication using external-cavity diode lasers
,”
Opt. Lett.
24
,
1200
(
1999
).
23.
V.
Ahlers
,
U.
Parlitz
, and
W.
Lauterborn
, “
Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers
,”
Phys. Rev. E
58
,
7208
(
1998
).
24.
M. G.
Rosenblum
,
A. S.
Pikovsky
, and
J.
Kurths
, “
From phase to lag synchronization in coupled oscillators
,”
Phys. Rev. Lett.
78
,
4193
(
1997
).
25.
H. U.
Voss
, “
Anticipating chaotic synchronization
,”
Phys. Rev. E
61
,
5115
(
2000
);
H. U.
Voss
, “
Dynamic long-term anticipation of chaotic states
,”
Phys. Rev. Lett.
87
,
014102
(
2001
).
26.
C.
Masoller
, “
Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback
,”
Phys. Rev. Lett.
86
,
2782
(
2001
).
27.
S.
Sivaprakasam
,
E. M.
Shahverdiev
,
P. S.
Spencer
, and
K. A.
Shore
, “
Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers
,”
Phys. Rev. Lett.
87
,
154101
(
2001
).
28.
A.
Locquet
,
F.
Rogister
,
M.
Sciamanna
,
P.
Megret
, and
M.
Blondel
, “
Two types of synchronization in unidirectionally coupled chaotic external-cavity semiconductor lasers
,”
Phys. Rev. E
64
,
045203
(
2001
).
This content is only available via PDF.
You do not currently have access to this content.