Abstract
Two chaotic systems never show the same oscillations when they are isolated. However, they exhibit the same synchronous output under certain coupling conditions. The phenomenon is not self-evident, since chaos is sensitive to an initial condition and its future is unpredictable. Chaos synchronization is not only interesting in fundamental physics but also important in practical applications to optical secure communications. In this chapter, we describe various systems for chaos synchronization in semiconductor lasers and study the performance of them.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abarbanel HDI, Kennel MB, Illing L, Tang S, Chen HF, Liu JM (2001) Synchronization and communication using semiconductor lasers with optoelectronic feedback. IEEE J Quantum Electron 37:1301–1311
Ahlers V, Parlitz U, Lauterborn W (1998) Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers. Phys Rev E 58:7208–7213
Annovazzi-Lodi V, Donati S, Scirè A (1996) Synchronization of chaotic injected-laser systems and its application to optical cryptography. IEEE J Quantum Electron 32:953–959
Avila JFM, Leite JRR (2009) Time delays in the synchronization of chaotic coupled lasers with feedback. Opt Express 24:21442–214451
Chen HF, Liu JM (2000) Open-loop chaotic synchronization of injection-locked semiconductor lasers with gigahertz range modulation. IEEE J Quantum Electron 36:27–34
Chiang MC, Chen HF, Liu JM (2005) Experimental synchronization of mutually coupled semiconductor lasers with optoelectronic feedback. IEEE J Quantum Electron 41:1333–1340
Chiang M, Chen HF, Liu JM (2006) Synchronization of mutually coupled systems. Opt Commun 261:86–90
Cuomo KM, Oppenheim AV, Stogatz SH (1993) Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans Circuits Syst II 40:626–633
Fischer I, Liu Y, Davis P (2000a) Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication. Phys Rev A 62: 011801-1–4
Fischer APA, Andersen OK, Yousefi M, Stolte S, Lenstra D (2000b) Experimental and theoretical study of filtered optical feedback in a semiconductor laser. IEEE J Quantum Electron 36:375–384
Fischer I, Vicente R, Buldú JM, Peil M, Mirasso CR, Torrent MC, Garciá-Ojalvo J (2006) Zero-lag long-range synchronization via dynamical relaying. Phys Rev Lett 97: 123902-1–4
Fujino H, Ohtsubo J (2000) Experimental synchronization of chaotic oscillations in external cavity semiconductor lasers. Opt Lett 25:625–627
Fujino H, Ohtsubo J (2001) Synchronization of chaotic oscillations in mutually coupled semiconductor lasers. Opt Rev 8:351–357
Fujiwara N, Takiguchi Y, Ohtsubo J (2003) Observation of the synchronization of chaos in mutually injected vertical-cavity surface-emitting semiconductor lasers. Opt Lett 28:1677–1679
Fujiwara N, Ohtsubo J (2004) Synchronization in chaotic vertical-cavity surface-emitting semiconductor lasers. SPIE Proc 5349:282–289
Garcia-Ojalvo J, Casademont J, Mirasso CR, Torrent MC, Sancho JM (1999) Coherence and synchronization in diode-laser arrays with delayed global coupling. Int J of Bifurcat and Chaos 9:2225–2229
Heil T, Fischer I, Elsäßer W, Mulet J, Mirasso CR (2001) Chaos synchronization and spontaneous symmetry breaking in symmetrical delay-coupled semiconductor lasers. Phys Rev Lett 86:795–798
Hicke K, D’Huys O, Flunkert V, E. Schöll E, Danckaert J, Fischer I (2011) Mismatch and synchronization: Influence of asymmetries in systems of two delay-coupled lasers. Phys Rev E 83: 056211-1–11
Hohl A, Gavrielides A, Erneux T, Kovanis V (1997) Localized synchronization in two coupled nonidentical semiconductor lasers. Phys Rev Lett 78:4745–4748
Hohl A, Gavrielides A, Erneux T, Kovanis V (1999) Quasiperiodic synchronization for two delay-coupled semiconductor lasers. Phys Rev A 59:3941–3949
Jones RJ, Rees P, Spencer PS, Shore KA (2001) Chaos and synchronization of self-pulsating laser diodes. J Opt Soc Am B 18:166–172
Klein E, Gross N, Rosenbluh M, Kinze W, Khaykovich L, Kanter I (2006) Stable isochronal synchronization of mutually coupled chaotic lasers. Phys Rev E 73: 066214-1–4
Kusumoto K, Ohtsubo J (2003) Anticipating chaos synchronization at high optical feedback rate in compound cavity semiconductor lasers. IEEE J Quantum Electron 39:1531–1536
Liu Y, Davis P (2000) Dual synchronization of chaos. Phys Rev E 61:R2176–2179
Liu Y, Davis P (2001) Synchronized chaotic mode hopping in DBR lasers with delayed opto-electric feedback. IEEE J Quantum Electron 37:337–352
Liu JM, Chen HF, Tang S (2001a) Optical-communication systems based on chaos in semiconductor lasers. IEEE Trans Circuits Syst I 48:1475–1483
Liu JM, Chen HF, Tang S (2001b) Synchronization of chaos in semiconductor lasers. Nonlinear Anal 47:5741–5751
Liu Y, Chen HF, Liu JM, Davis P, Aida T (2001c) Communication using synchronization of optical-feedback-induced chaos in semiconductor lasers. IEEE Trans Circuits Syst I 48:1484–1490
Liu Y, Takiguchi Y, Davis P, Aida T, Saito S, Liu JM (2002) Experimental observation of complete chaos synchronization in semiconductor lasers. Appl Phys Lett 80:4306–4308
Masoller C (2001) Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback. Phys Rev Lett 86:2782–2785
Mirasso CR, Kolesik M, Matus M, White JK, Moloney JV (2002) Synchronization and multimode dynamics of mutually coupled semiconductor lasers. Phys Rev A 65: 013805-1–4
Mirasso CR, van Tartwijk GHM, Hernández-García E, Lenstra D, Lynch S, Landais P, Phelan P, O’Gorman J, Elsäßer W (1999) Self-pulsating semiconductor lasers: theory and experiment. IEEE J Quantum Electron 35:764–770
Mulet J, Masoller C, Mirasso CR (2002) Modeling bidirectionally coupled single-mode semiconductor lasers. Phys Rev A 65: 063815-1–12
Mulet J, Mirasso CR, Heil T, Fischer I (2004) Synchronization scenario of two distant mutually coupled semiconductor lasers. J Opt B Quantum Semiclassical Opt 6:97–105
Murakami A, Ohtsubo J (2002) Synchronization of feedback-induced chaos in semiconductor lasers by optical injection. Phys Rev A 65: 033826-1–7
Ohtsubo J (2002a) Chaotic dynamics in semiconductor lasers with optical feedback. In: Wolf E (ed) Progress in optics, Chap. 1, Vol 44, North-Holland, Amsterdam
Ohtsubo J (2002b) Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback. IEEE J Quantum Electron 38:1141–1154
Oowada I, Ariizumi H, Li M, Yoshimori S, Uchida A, Yoshimura K, Davis P (2009) Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback. Opt Express 17:10025–10034
Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821–824
Pecora LM, Carroll TL (1991) Driving systems with chaotic signals. Phys Rev Lett 44:2374–2384
Peters-Flynn S, Spencer PS, Sivaprakasam S, Pierce I, Shore KA (2006) Identification of the optimum time-delay for chaos synchronization regimes of semiconductor lasers. IEEE J Quantum Electron 42:427–434
Rogister F, Locquet A, Pieroux D, Sciamanna M, Deparis O, Megret P, Blondel M (2001) Secure communication scheme using chaotic laser diodes subject to incoherent optical feedback and incoherent optical injection. Opt Lett 26:1466–1469
Roy R, Thornburg KS Jr (1994) Experimental synchronization of chaotic lasers. Phy Rev Lett 72:2009–2015
Sauer M, Kaiser F (1998) On-off intermittency and bubbling in the synchronization break-down of coupled lasers. Phys Lett A 243:38–46
Shibasaki N, Uchida A, Yoshimori Y, Davis P (2006) Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback. IEEE J Quantum Electron 42:342–350
Sivaprakasam S, Shahverdiev EM, Spencer PS, Shore KA (2001) Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback. Phys Rev Lett 87: 154101-1–3
Sivaprakasam S, Shahverdiev EM, Shore KA (2000) Experimental verification of the synchronization condition for chaotic external cavity diode lasers. Phys Rev E 62:7505–7507
Someya H, Oowada I, Okumura H, Kida T, Uchida A (2009) Synchronization of bandwidth-enhanced chaos in semiconductor lasers with optical feedback and injection. Opt Express 17:19536–19543
Spencer PS, Mirasso CR, Colet P, Shore KA (1998) Modeling of optical synchronization of chaotic external-cavity VCSEL’s. IEEE J Quantum Electron 34:1673–1679
Spencer PS, Mirassso CR (1999) Analysis of optical chaos synchronization in frequency-detuned external-cavity VCSEL’s. IEEE J Quantum Electron 35:803–809
Sugawara T, Tachikawa M, Tsukamoto T, Shimizu T (1994) Observation of synchronization in laser chaos. Phys Rev Lett 72:3502–3506
Sukow DW, Gavrielides A, Erneux T, Baracco MJ, Parmenter ZA, Blackburn KL (2005) Two-field description of chaos synchronization in diode lasers with incoherent optical feedback and injection. Phys Rev A 72: 043818-1–6
Sukow DW, Gavrielides A, Erneux T, Mooneyham B, Lee K, McKay J, Davis J (2010) Asymmetric square waves in mutually coupled semiconductor lasers with orthogonal optical injection. Phys Rev E 81: 025206-1–4
Sukow DW, Gavrielides A, McLachlan T, Burner G, Amonette J, Miller J (2006) Identity synchronization in diode lasers with unidirectional feedback and injection of rotated optical fields. Phys Rev 74: 023812–8
Sukow DW, Blackburn KL, Spain AR, Babcock KJ, Bennett JV, Gavrielides A (2004) Experimental synchronization of chaos in diode lasers with polarization-rotated feedback and injection. Opt Lett 29:2393–2395
Takiguchi Y, Liu Y, Ohtsubo J (1999a) Low-frequency fluctuations and frequency-locking in semiconductor lasers with optical feedback. Opt Rev 6:339–401
Takiguchi Y, Liu Y, Ohtsubo J (1999b) Low frequency fluctuation in semiconductor lasers with long external cavity feedback and its control. Opt Rev 6:424–432
Takiguchi Y, Fujino H, J. Ohtsubo J, (1999c) Experimental synchronization of chaotic oscillations in external cavity semiconductor lasers in low-frequency fluctuation regime. Opt Lett 24:1570–1572
Takiguchi Y, Ohyagi K, Ohtsubo J (2003) Bandwidth-enhanced chaos synchronization in strongly injection-locked semiconductor lasers with optical feedback. Opt Lett 28:319–321
Takeuchi Y, Shogenji R, Ohtsubo J (2010) Chaos synchronization of semiconductor lasers with polarization-rotated optical feedback and polarization-rotated optical injection. Opt Rev 17:467–475
Tang S, Chen HF, Liu JM (2001) Stable route-tracking synchronization between two chaotically pulsing semiconductor lasers. Opt Lett 26:1489–1491
Tang S, Vicente R, Chiang MC, Mirasso CR, Liu JM (2004) Nonlinear dynamics of semiconductor lasers with mutual optoelectronic coupling. IEEE J Select Topics Quantum Electron 10:936–943
Uchida A, Rogister F, García-Ojalvo J, Roy R (2005) Synchronization and communication with chaotic laser systems. In: Wolf E (ed) Progress in optics. Chap. 5, Vol. 48, North-Holland, Amsterdam
Vicente R, Fischer I, Mirasso CR (2008) Synchronization properties of three delay-coupled semiconductor lasers. Phys Rev E 78: 066202-1–11
Voss HU (2000) Anticipating chaotic synchronization. Phys Rev E 61:5115–5119
Winful HG, Rahman L (1990) Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers. Phys Rev Lett 65:1575–1578
Yamamoto T, Oowada I, Yip H, Uchida A, Yoshimori S, Yoshimura K, Muramatsu J, Goto S, Davis P (2007) Common-chaotic-signal induced synchronization in semiconductor lasers. Opt Express 15:3974–3980
Zhang WL, Pan W, Luo B, Zou XH, Wang MY (2008) One-to-many and many-to-one optical chaos communications using semiconductor lasers. IEEE Photon Technol Lett 20:712–714
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ohtsubo, J. (2013). Chaos Synchronization in Semiconductor Lasers. In: Semiconductor Lasers. Springer Series in Optical Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30147-6_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-30147-6_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30146-9
Online ISBN: 978-3-642-30147-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)