Abstract
It is shown that identical synchronization of two chaotic semiconductor lasers can be achieved by injection of a common optical signal with randomly varying phase. An optical signal with randomly modulated phase is injected into two semiconductor lasers which have chaotic oscillations due to optical feedback. Strong correlation between complex intensity oscillations of the two lasers is observed even though the intensity of the common injection signal is constant. Characteristic properties of this type of synchronization are shown, in particular, the dependence of the synchronization threshold on the injection strength and the rate of phase modulation, and the dependence of the intensity correlation on the difference in phase of optical feedback.
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References
Abarbanel H.D.I., Rulkov N.F., Sushchik M.M.: Generalized synchronization of chaos: The auxiliary system approach. Phys. Rev. E 53, 4528–4535 (1996)
Buczek C.J., Freiberg R.J., Skolnick M.L.: Laser injection locking. Proc. IEEE 61, 1411–1431 (1973)
Heil T., Mulet J., Fischer I., Mirasso C.R., Peil M., Colet P., Elsasser W.: ON/OFF phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers. IEEE J. Quantum Electron. 38, 1162–1170 (2002)
Henry C., Olsson N., Dutta N.: Locking range and stability of injection locked 1.54 μm InGaAsp semiconductor lasers. IEEE J. Quant. Electron. 21, 1152–1156 (1985)
Kane, D.M., Shore, K.A. (eds): Unlocking Dynamical Diversity: Optical Feedback Effects on Semiconductor Lasers. Wiley, New York (2005)
Kobayashi S., Kimura T.: Optical phase modulation in an injection locked AlGaAs semiconductor laser. IEEE Trans. Microw. Theory Tech. 82, 1650–1657 (1982)
Lang R.: Injection locking properties of a semiconductor laser. IEEE J. Quantum Electron. 18, 976–983 (1982)
Lang R., Kobayashi K.: External optical feedback effects on semiconductor injection laser properties. IEEE J. Quantum Electron. 16, 347–355 (1980)
Liu J.M., Chen H.F., Meng X.J., Simpson T.B.: Modulation bandwidth, noise, and stability of a semiconductor laser subject to strong injection locking. IEEE Photon Technol. Lett. 9, 1325–1327 (1997)
Liu, Y., Chen, H.F., Liu, J.M., Davis, P., Aida, T.: Synchronization of optical-feedback-induced chaos in semiconductor lasers by optical injection. Phys. Rev. A 63, 031802(R) [4 pp.] (2001)
Locquet, A., Masoller, C., Mirasso, C.R.: Synchronization regimes of optical-feedback-induced chaos in unidirectionally coupled semiconductor lasers. Phys. Rev. E 65, 056205 [12 pp.] (2002)
Mogensen F., Olesen H., Jacobsen G.: Locking conditions and stability properties for a semiconductor laser with external light injection. IEEE J. Quantum Electron. 21, 784–793 (1985)
Murakami, A., Ohtsubo, J.: Synchronization of feedback-induced chaos in semiconductor lasers by optical injection. Phys. Rev. A 65, 033826 [7 pp.] (2002)
Ohtsubo, J.: Semiconductor Lasers: Stability, Instability and Chaos, Springer Series in Optical Sciences. Springer-Verlag, Berlin, vol. 111, 2nd ed. (2008)
Simpson T.B., Liu J.M., Gavrielides A., Kovanis V., Alsing P.M.: Period-doubling route to chaos in a semiconductor laser subject to optical injection. Appl. Phys. Lett. 64, 3539–3541 (1994)
Stover H.L., Steier W.H.: Locking of laser oscillators by light injection. Appl. Phys. Lett. 8, 91–93 (1966)
Tang C.L., Statz H.: Effects of intensity-dependent anomalous dispersion on the mode shapes of the Fabry-Perot oscillators. J. Appl. Phys. 38, 886–887 (1967)
Uchida, A., Shibasaki, N., Nogawa, S., Yoshimori, S.: Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback. Phys. Rev. E 69, 056201 [9 pp.] (2004)
Uchida A., Garcia-Ojalvo J., Rogister F., Roy R.: Synchronization and communication with chaotic laser systems. In: Wolf, E. (eds) Progress in Optics, vol. 48, chap. 5, pp. 203–341. Elsevier, North Holland, Amsterdam (2005)
Vicente R., Perz T., Mirasso C.R.: Open-versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers. IEEE J. Quantum Electron. 38, 1197–1204 (2002)
Yamamoto T., Oowada I., Yip H., Uchida A., Yoshimori S., Yoshimura K., Muramatsu J., Goto S., Davis P.: Common-chaotic-signal induced synchronization in semiconductor lasers. Opt. Express 15, 3974–3980 (2007)
Yoshimura, K., Valiusaityte, I., Davis, P.: Synchronization induced by common colored noise in limit cycle and chaotic systems. Phys. Rev. E 75, 026208 [7 pp.] (2007)
Zhang W.L., Pan W., Luo B., Zou X.H., Wang M.Y.: Open loop synchronization of semiconductor lasers with periodical injection. Opt. Quant. Electron. 40, 623–631 (2008)
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This work was carried out at NTT Corporation in Japan.
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Goto, Si., Davis, P., Yoshimura, K. et al. Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation. Opt Quant Electron 41, 137 (2009). https://doi.org/10.1007/s11082-009-9333-y
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DOI: https://doi.org/10.1007/s11082-009-9333-y
Keywords
- Semiconductor lasers
- Laser diodes
- Dynamics of nonlinear optical systems
- Optical instabilities
- Optical chaos and complexity
- Optical spatio-temporal dynamics
- Synchronization
- Coupled oscillators