Abstract
The stability of semiconductor laser operation plays a crucial role in almost every possible application of these devices (Erneux, Glorieux, Laser dynamics, Cambridge University Press, UK, 2010) [1], (Lüdge, Nonlinear laser dynamics—from quantum dots to cryptography, Wiley, Weinheim, 2012) [2], (Chow, Jahnke, Prog Quantum Electron 37:109–184, 2013) [3], (Otto, Dynamics of quantum dot lasers—effects of optical feedback and external optical injection, Springer, Heidelberg, 2014) [4]. In most fields of operation, one would require a stable steady-state output with constant intensity that follows any change in external operating parameters instantaneously, thus enabling, e.g., arbitrarily fast switching of the laser output. In reality such requirements can naturally never be met.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
Parts of this section have been published in [35].
- 3.
Parts of this section have been published in [7].
- 4.
Parts of this section have been published in [47].
- 5.
- 6.
Parts of this section have been published in [8].
- 7.
Parts of this section have been published in [47].
- 8.
Parts of this section have been published in [8].
References
T. Erneux, P. Glorieux, Laser Dynamics (Cambridge University Press, UK, 2010)
K. Lüdge, Nonlinear Laser Dynamics—From Quantum Dots to Cryptography (Wiley, Weinheim, 2012)
W.W. Chow, F. Jahnke, On the physics of semiconductor quantum dots for applications in lasers and quantum optics. Prog. Quantum Electron. 37, 109–184 (2013)
C. Otto, Dynamics of Quantum Dot Lasers—Effects of Optical Feedback and External Optical Injection, Springer Theses (Springer, Heidelberg, 2014)
K. Lüdge, E. Schöll, Quantum-dot lasers—desynchronized nonlinear dynamics of electrons and holes. IEEE J. Quantum Electron. 45, 1396–1403 (2009)
N. Majer, K. Lüdge, E. Schöll, Cascading enables ultrafast gain recovery dynamics of quantum dot semiconductor optical amplifiers. Phys. Rev. B 82, 235301 (2010)
B. Lingnau, K. Lüdge, W.W. Chow, E. Schöll, Influencing modulation properties of quantum-dot semiconductor lasers by electron lifetime engineering. Appl. Phys. Lett. 101, 131107 (2012)
B. Lingnau, W.W. Chow, K. Lüdge, Amplitude-phase coupling and chirp in quantum-dot lasers: influence of charge carrier scattering dynamics. Opt. Express 22, 4867–4879 (2014)
F.T. Arecchi, G.L. Lippi, G.P. Puccioni, J.R. Tredicce, Deterministic chaos in laser with injected signal. Opt. Commun. 51, 308–315 (1984)
J. Ohtsubo, Semiconductor Lasers: Stability, Instability and Chaos (Springer, Berlin, 2005)
H. Zeghlache, P. Mandel, N.B. Abraham, C.O. Weiss, Phase and amplitude dynamics in the laser Lorenz model. Phys. Rev. A 38, 3128–3131 (1988)
C.O. Weiss, N.B. Abraham, U. Hübner, Homoclinic and heteroclinic chaos in a single-mode laser. Phys. Rev. Lett. 61, 1587–1590 (1988)
C.Z. Ning, H. Haken, Detuned lasers and the complex Lorenz equations: Subcritical and supercritical hopf bifurcations. Phys. Rev. A 41, 3826–3837 (1990)
L.A. Coldren, S.W. Corzine, M. Mashanovitch, Diode Lasers and Photonic Integrated Circuits, 2nd edn., Wiley series in microwave and optical enginieering (Wiley, 2012)
E. Schöll, H.G. Schuster (eds.), Handbook of Chaos Control (Wiley, Weinheim, 2008). Second completely revised and enlarged edition
J. Mørk, B. Tromborg, J. Mark, Chaos in semiconductor lasers with optical feedback-theory and experiment. IEEE J. Quantum Electron. 28, 93–108 (1992)
A.M. Levine, G.H.M. van Tartwijk, D. Lenstra, T. Erneux, Diode lasers with optical feedback: stability of the maximum gain mode. Phys. Rev. A 52, R3436–R3439 (1995)
C. Otto, K. Lüdge, E. Schöll, Modeling quantum dot lasers with optical feedback: sensitivity of bifurcation scenarios. Phys. Stat. Sol. (b) 247, 829–845 (2010)
S.L. Chuang, Physics of Optoelectronic Devices (Wiley, New York, 1995)
K. Lüdge, E. Schöll, Nonlinear dynamics of doped semiconductor quantum dot lasers. Eur. Phys. J. D 58, 167–174 (2010)
R. Heitz, H. Born, F. Guffarth, O. Stier, A. Schliwa, A. Hoffmann, D. Bimberg, Existence of a phonon bottleneck for excitons in quantum dots. Phys. Rev. B 64, 241305(R) (2001)
M. Kuntz, N.N. Ledentsov, D. Bimberg, A.R. Kovsh, V.M. Ustinov, A.E. Zhukov, Y.M. Shernyakov, Spectrotemporal response of 1.3 \(\upmu \)m quantum-dot lasers. Appl. Phys. Lett. 81, 3846–3848 (2002)
M. Ishida, M. Sugawara, T. Yamamoto, N. Hatori, H. Ebe, Y. Nakata, Y. Arakawa, Theoretical study on high-speed modulation of Fabry-Pérot and distributed-feedback quantum-dot lasers: K-factor-limited bandwidth and 10 Gbit/s eye diagrams. J. Appl. Phys. 101, 013108 (2007)
N. Majer, S. Dommers-Völkel, J. Gomis-Bresco, U. Woggon, K. Lüdge, E. Schöll, Impact of carrier-carrier scattering and carrier heating on pulse train dynamics of quantum dot semiconductor optical amplifiers. Appl. Phys. Lett. 99, 131102 (2011)
T.R. Nielsen, P. Gartner, F. Jahnke, Many-body theory of carrier capture and relaxation in semiconductor quantum-dot lasers. Phys. Rev. B 69, 235314 (2004)
T.R. Nielsen, P. Gartner, M. Lorke, J. Seebeck, F. Jahnke, Coulomb scattering in nitride-based self-assembled quantum dot systems. Phys. Rev. B 72, 235311 (2005)
A. Wilms, D. Breddermann, P. Mathe, Theory of direct capture from two- and three-dimensional reservoirs to quantum dot states. Phys. Stat. Sol. (c) 9, 1278 (2012)
P. Borri, W. Langbein, J.M. Hvam, F. Heinrichsdorff, M.H. Mao, D. Bimberg, Ultrafast gain dynamics in InAs–InGaAs quantum-dot amplifiers. IEEE Photon. Technol. Lett. 12, 594–596 (2000)
S. Dommers, V.V. Temnov, U. Woggon, J. Gomis, J. Martinez-Pastor, M. Lämmlin, D. Bimberg, Complete ground state gain recovery after ultrashort double pulses in quantum dot based semiconductor optical amplifier. Appl. Phys. Lett. 90, 033508 (2007)
T. Piwonski, I. O’Driscoll, J. Houlihan, G. Huyet, R.J. Manning, A.V. Uskov, Carrier capture dynamics of InAs/GaAs quantum dots. Appl. Phys. Lett. 90, 122108 (2007)
J. Gomis-Bresco, S. Dommers, V.V. Temnov, U. Woggon, M. Lämmlin, D. Bimberg, E. Malić, M. Richter, E. Schöll, A. Knorr, Impact of Coulomb scattering on the ultrafast gain recovery in InGaAs quantum dots. Phys. Rev. Lett. 101, 256803 (2008)
Y. Kaptan, H. Schmeckebier, B. Herzog, D. Arsenijević, M. Kolarczik, V. Mikhelashvili, N. Owschimikow, G. Eisenstein, D. Bimberg, U. Woggon, Gain dynamics of quantum dot devices for dual-state operation. Appl. Phys. Lett. 104, 062604 (2014)
K. Lüdge, E. Schöll, E.A. Viktorov, T. Erneux, Analytic approach to modulation properties of quantum dot lasers. J. Appl. Phys. 109, 103112 (2011)
T. Erneux, E.A. Viktorov, P. Mandel, Time scales and relaxation dynamics in quantum-dot lasers. Phys. Rev. A 76, 023819 (2007)
B. Lingnau, K. Lüdge, Analytic characterization of the dynamic regimes of quantum-dot lasers. Photonics 2, 402–413 (2015)
W.W. Chow, S.W. Koch, Semiconductor-Laser Fundamentals (Springer, Berlin, 1999)
A. Fiore, A. Markus, Differential gain and gain compression in quantum-dot lasers. IEEE J. Quantum Electron. 43, 287–294 (2007)
D. Bimberg, Quantum dot based nanophotonics and nanoelectronics. Electron. Lett. 44, 168 (2008)
W.W. Chow, M. Lorke, F. Jahnke, Will quantum dots replace quantum wells as the active medium of choice in future semiconductor lasers? IEEE J. Sel. Top. Quantum Electron. 17, 1349–1355 (2011)
D. Bimberg, N.N. Ledentsov, M. Grundmann, F. Heinrichsdorff, Edge und surface emitting quantum dot lasers. IEDM Tech. Dig. pp. 381–384 (1997)
M. Ishida, N. Hatori, T. Akiyama, K. Otsubo, Y. Nakata, H. Ebe, M. Sugawara, Y. Arakawa, Photon lifetime dependence of modulation efficiency and \(K\) factor im \(1.3\,\upmu \)m self-assembled \(InAs/GaAs\) quantum-dot lasers: Impact of capture time and maximum modal gain on modulation bandwidth. Appl. Phys. Lett. 85, 4145 (2004)
M. Sugawara, N. Hatori, M. Ishida, H. Ebe, Y. Arakawa, T. Akiyama, K. Otsubo, T. Yamamoto, Y. Nakata, Recent progress in self-assembled quantum-dot optical devices for optical telecommunication: temperature-insensitive 10 Gbs directly modulated lasers and 40 Gbs signal-regenerative amplifiers. J. Phys. D 38, 2126–2134 (2005)
M. Gioannini, M. Rossetti, Time-domain traveling wave model of quantum dot DFB lasers. IEEE J. Sel. Top. Quantum Electron. 17, 1318–1326 (2011)
C. Wang, F. Grillot, J. Even, Impacts of wetting layer and excited state on the modulation response of quantum-dot lasers. IEEE J. Quantum Electron. 48, 1144–1150 (2012)
L.V. Asryan, R.A. Suris, Upper limit for the modulation bandwidth of a quantum dot laser. Appl. Phys. Lett. 96, 221112 (2010)
C. Tong, D. Xu, S.F. Yoon, Carrier relaxation and modulation response of 1.3-\(\upmu \)m InAs-GaAs quantum dot lasers. J. Lightwave Technol. 27, 5442 (2009)
B. Lingnau, W.W. Chow, E. Schöll, K. Lüdge, Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis. New J. Phys. 15, 093031 (2013)
M. Radziunas, A. Glitzky, U. Bandelow, M. Wolfrum, U. Troppenz, J. Kreissl, W. Rehbein, Improving the modulation bandwidth in semiconductor lasers by passive feedback. IEEE J. Sel. Top. Quantum Electron. 13, 136–142 (2007)
F. Grillot, N. Dubey, Influence of the linewidth enhancement factor on the modulation response of a nanostructure-based semiconductor laser operating under external optical feedback. Proc. SPIE 7933, 79330E (2011)
C.H. Henry, Theory of the linewidth of semiconductor lasers. IEEE J. Quantum Electron. 18, 259–264 (1982)
P.M. Smowton, E.J. Pearce, H.C. Schneider, W.W. Chow, M. Hopkinson, Filamentation and linewidth enhancement factor in InGaAs quantum dot lasers. Appl. Phys. Lett. 81, 3251–3253 (2002)
C. Ribbat, R.L. Sellin, I. Kaiander, F. Hopfer, N.N. Ledentsov, D. Bimberg, A.R. Kovsh, V.M. Ustinov, A.E. Zhukov, M.V. Maximov, Complete suppression of filamentation and superior beam quality in quantum-dot lasers. Appl. Phys. Lett. 82, 952–954 (2003)
S. Wieczorek, B. Krauskopf, T. Simpson, D. Lenstra, The dynamical complexity of optically injected semiconductor lasers. Phys. Rep. 416, 1–128 (2005)
B. Lingnau, K. Lüdge, W.W. Chow, E. Schöll, Failure of the \(\alpha \)-factor in describing dynamical instabilities and chaos in quantum-dot lasers. Phys. Rev. E 86, 065201(R) (2012)
I. Reidler, Y. Aviad, M. Rosenbluh, I. Kanter, Ultrahigh-speed random number generation based on a chaotic semiconductor laser. Phys. Rev. Lett. 103, 024102 (2009)
N. Oliver, M.C. Soriano, D.W. Sukow, I. Fischer, Dynamics of a semiconductor laser with polarization-rotated feedback and its utilization for random bit generation. Opt. Lett. 36, 4632–4634 (2011)
T. Harayama, S. Sunada, K. Yoshimura, J. Muramatsu, K. Arai, A. Uchida, P. Davis, Theory of fast nondeterministic physical random-bit generation with chaotic lasers. Phys. Rev. E 85, 046215 (2012)
R.M. Nguimdo, G. Verschaffelt, J. Danckaert, X.J.M. Leijtens, J. Bolk, G. Van der Sande, Fast random bits generation based on a single chaotic semiconductor ring laser. Opt. Express 20, 28603–28613 (2012)
V.Z. Tronciu, C.R. Mirasso, P. Colet, Chaos-based communications using semiconductor lasers subject to feedback from an integrated double cavity. J. Phys. B: At. Mol. Opt. Phys. 41, 155401 (2008)
A. Uchida, Optical Communication with Chaotic Lasers, Applications of Nonlinear Dynamics and Synchronization (Wiley, 2012)
L. Larger, J.M. Dudley, Nonlinear dynamics: optoelectronic chaos. Nature 465, 41–42 (2010)
F. Böhm, A. Zakharova, E. Schöll, K. Lüdge, Amplitude-phase coupling drives chimera states in globally coupled laser networks. Phys. Rev. E 91, 040901 (R) (2015)
N. Wiener, Generalized harmonic analysis. Acta Math. 55, 117–258 (1930)
P. Gartner, J. Seebeck, F. Jahnke, Relaxation properties of the quantum kinetics of carrier-LO-phonon interaction in quantum wells and quantum dots. Phys. Rev. B 73, 115307 (2006)
A.L. Schawlow, C.H. Townes, Infrared and optical masers. Phys. Rev. 112, 1940 (1958)
M.W. Fleming, A. Mooradian, Fundamental line broadening of single-mode GaAlAs diode lasers. Appl. Phys. Lett. 38, 511–513 (1981)
M. Lax, Classical noise. V. Noise in self-sustained oscillators. Phys. Rev. 160, 290 (1967)
Z. Toffano, A. Destrez, C. Birocheau, L. Hassine, New linewidth enhancement determination method in semiconductor lasers based on spectrum analysis above and below threshold. Electron. Lett. 28, 9–11 (1992)
G. Huyet, D. O’Brien, S.P. Hegarty, J.G. McInerney, A.V. Uskov, D. Bimberg, C. Ribbat, V.M. Ustinov, A.E. Zhukov, S.S. Mikhrin, A.R. Kovsh, J.K. White, K. Hinzer, A.J. SpringThorpe, Quantum dot semiconductor lasers with optical feedback. Phys. Stat. Sol. (b) 201, 345–352 (2004)
F. Grillot, B. Dagens, J.G. Provost, H. Su, L.F. Lester, Gain compression and above-threshold linewidth enhancement factor in 1.3\(\upmu \)m InAs/GaAs quantum-dot lasers. IEEE J. Quantum Electron. 44, 946–951 (2008)
K.C. Kim, I.K. Han, J.I. Lee, T.G. Kim, Gain-dependent linewidth enhancement factor in the quantum dot structures. Nanotechnology 21, 134010 (2010)
B. Kelleher, D. Goulding, G. Huyet, E.A. Viktorov, T. Erneux, S.P. Hegarty, Dimensional signature on noise-induced excitable statistics in an optically injected semiconductor laser. Phys. Rev. E 84, 026208 (2011)
M. Asada, Y. Miyamoto, Y. Suematsu, Gain and the threshold of three-dimensional quantum-box lasers. IEEE J. Quantum Electron. 22, 1915–1921 (1986)
D. Bimberg, N. Kirstaedter, N.N. Ledentsov, Z.I. Alferov, P.S. Kop’ev, V. Ustinov, InGaAs-GaAs quantum-dot lasers. IEEE J. Sel. Top. Quantum Electron. 3, 196–205 (1997)
T.C. Newell, D.J. Bossert, A. Stintz, B. Fuchs, K.J. Malloy, L.F. Lester, Gain and linewidth enhancement factor in InAs quantum-dot laser diodes. IEEE Photonics Technol. Lett. 11, 1527–1529 (1999)
P.K. Kondratko, S.L. Chuang, G. Walter, T. Chung, N. Holonyak, Observations of near-zero linewidth enhancement factor in a quantum-well coupled quantum-dot laser. Appl. Phys. Lett. 83, 4818 (2004)
R.R. Alexander, D. Childs, H. Agarwal, K.M. Groom, H.Y. Liu, M. Hopkinson, R.A. Hogg, Zero and controllable linewidth enhancement factor in p-doped 1.3 \(\upmu \)m quantum dot lasers. Jpn. J. Appl. Phys. 46, 2421 (2007)
B. Dagens, A. Markus, J. Chen, J.G. Provost, D. Make, O. Le Gouezigou, J. Landreau, A. Fiore, B. Thedrez, Giant linewidth enhancement factor and purely frequency modulated emission from quantum dot laser. Electron. Lett. 41, 323–324 (2005)
D.Y. Cong, A. Martinez, K. Merghem, G. Moreau, A. Lemaitre, J.G. Provost, O. Le Gouezigou, M. Fischer, I. Krestnikov, A.R. Kovsh, A. Ramdane, Optimisation of \(\alpha \)-factor for quantum dot InAs/GaAs fabry-perot lasers emitting at \(1.3 \upmu \)m. Electron. Lett. 43, 222–224 (2007)
H. Su, L.F. Lester, Dynamic properties of quantum dot distributed feedback lasers: high speed, linewidth and chirp. J. Phys. D: Appl. Phys. 38, 2112–2118 (2005)
Z.J. Jiao, Z.G. Lu, J.R. Liu, P.J. Poole, P. Barrios, D. Poitras, G. Pakulski, J. Caballero, X.P. Zhang, Linewidth enhancement factor of InAs/InP quantum dot lasers around \(1.5\upmu \)m. Opt. Commun. 285, 4372–4375 (2012)
S. Melnik, G. Huyet, A.V. Uskov, The linewidth enhancement factor \(\alpha \) of quantum dot semiconductor lasers. Opt. Express 14, 2950–2955 (2006)
M. Gioannini, I. Montrosset, Numerical analysis of the frequency chirp in quantum-dot semiconductor lasers. IEEE J. Quantum Electron. 43, 941–949 (2007)
B. Lingnau, K. Lüdge, W.W. Chow, E. Schöll, Many-body effects and self-contained phase dynamics in an optically injected quantum-dot laser, in Semiconductor Lasers and Laser Dynamics, vol. 8432, Proceedings of SPIE 53, ed. by V. Brussels, K. Panajotov, M. Sciamanna, A.A. Valle, R. Michalzik (2012), p. 84321J–1
G.P. Agrawal, C.M. Bowden, Concept of linewidth enhancement factor in semiconductor lasers: its usefulness and limitations. IEEE Photonics Technol. Lett. 5, 640–642 (1993)
R. Adler, A study of locking phenomena in oscillators. Proc. IEEE 61, 1380–1385 (1973)
L.E. Erickson, A. Szabo, Spectral narrowing of dye laser output by injection of monochromatic radiation into the laser cavity. Appl. Phys. Lett. 18, 433 (1971)
Y. Liu, H.K. Liu, Y. Braiman, Injection locking of individual broad-area lasers in an integrated high-power diode array. Appl. Phys. Lett. 81, 978 (2002)
X. Jin, S.L. Chuang, Bandwidth enhancement of Fabry-Perot quantum-well lasers by injection-locking. Solid-State Electron. 50, 1141–1149 (2006)
N.B. Terry, N.A. Naderi, M. Pochet, A.J. Moscho, L.F. Lester, V. Kovanis, Bandwidth enhancement of injection-locked 1.3 \(\upmu \)m quantum-dot DFB laser. Electron. Lett. 44, 904–905 (2008)
E.K. Lau, L.J. Wong, M.C. Wu, Enhanced modulation characteristics of optical injection-locked lasers: a tutorial. IEEE J. Sel. Top. Quantum Electron. 15, 618 (2009)
E.K. Lau, X. Zhao, H.-K. Sung, D. Parekh, C.J. Chang-Hasnain, M.C. Wu, Strong optical injection-locked semiconductor lasers demonstrating >100-Ghz resonance frequencies and 80-Ghz intrinsic bandwidths. Opt. Express 16, 6609 (2008)
N.A. Naderi, M. Pochet, F. Grillot, N.B. Terry, V. Kovanis, L.F. Lester, Modeling the injection-locked behavior of a quantum dash semiconductor laser. IEEE J. Sel. Top. Quantum Electron. 15, 563 (2009)
B. Kelleher, C. Bonatto, G. Huyet, S.P. Hegarty, Excitability in optically injected semiconductor lasers: contrasting quantum-well- and quantum-dot-based devices. Phys. Rev. E 83, 026207 (2011)
J.R. Tredicce, F.T. Arecchi, G.L. Lippi, G.P. Puccioni, Instabilities in lasers with an injected signal. J. Opt. Soc. Am. B 2, 173–183 (1985)
T.B. Simpson, J.M. Liu, A. Gavrielides, V. Kovanis, P.M. Alsing, Period-doubling route to chaos in a semiconductor laser subject to optical injection. Appl. Phys. Lett. 64, 3539–3541 (1994)
A. Gavrielides, V. Kovanis, P.M. Varangis, T. Erneux, G. Lythe, Coexisting periodic attractors in injection-locked diode lasers. Quantum Semiclass. Opt. 9, 785 (1997)
D. Goulding, S.P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J.G. McInerney, D. Rachinskii, G. Huyet, Excitability in a quantum dot semiconductor laser with optical injection. Phys. Rev. Lett. 98, 153903 (2007)
S. Osborne, K. Buckley, A. Amann, S. O’Brien, All-optical memory based on the injection locking bistability of a two-color laser diode. Opt. Express 17, 6293–6300 (2009)
S. Osborne, P. Heinricht, N. Brandonisio, A. Amann, S. O’Brien, Wavelength switching dynamics of two-colour semiconductor lasers with optical injection and feedback. Semicond. Sci. Technol. 27, 094001 (2012)
A. Hurtado, I.D. Henning, M.J. Adams, L.F. Lester, Generation of tunable millimeter-wave and THz signals with an optically injected quantum dot distributed feedback laser. IEEE Photonics J. 5, 5900107 (2013)
V.I. Arnold, Small denominators i, mappings of the circumference onto itself. Am. Math. Soc. Transl. 46, 213–284 (1965)
A. Murakami, K.A. Shore, Analogy between optically-driven injection-locked laser diodes and driven damped linear oscillators. Phys. Rev. A 73, 043804–043804–9 (2005)
B. Kelleher, D. Goulding, S.P. Hegarty, G. Huyet, D.Y. Cong, A. Martinez, A. Lemaitre, A. Ramdane, M. Fischer, F. Gerschütz, J. Koeth, Excitable phase slips in an injection-locked single-mode quantum-dot laser. Opt. Lett. 34, 440–442 (2009)
D. Ziemann, R. Aust, B. Lingnau, E. Schöll, K. Lüdge, Optical injection enables coherence resonance in quantum-dot lasers. Europhys. Lett. 103, 14002–p1–14002–p6 (2013)
E.C. Mos, J.J.L. Hoppenbrouwers, M.T. Hill, M.W. Blum, J.J.H.B. Schleipen, H. de Waardt, Optical neuron by use of a laser diode with injection seeding and external optical feedback. IEEE Trans. Neural Netw. 11, 988–996 (2000)
B. Krauskopf, W.A. van der Graaf, D. Lenstra, Bifurcations of relaxation oscillations in an optically injected diode laser. J. Opt. Soc. Am. B 9, 797 (1997)
M.G. Zimmermann, M.A. Natiello, H.G. Solari, Shilnikov-saddle-node interaction near a codimension 2 bifurcation: laser with injected signal. Phys. D 109, 293–314 (1997)
M. Nizette, T. Erneux, A. Gavrielides, V. Kovanis, Averaged equations for injection locked semiconductor lasers. Phys. D 161, 220 (2001)
J. Thévenin, M. Romanelli, M. Vallet, M. Brunel, T. Erneux, Resonance assisted synchronization of coupled oscillators: frequency locking without phase locking. Phys. Rev. Lett. 107, 104101 (2011)
B. Kelleher, D. Goulding, B. Baselga Pascual, S.P. Hegarty, G. Huyet, Bounded phase phenomena in the optically injected laser. Phys. Rev. E 85, 046212 (2012)
M. Romanelli, L. Wang, M. Brunel, M. Vallet, Measuring the universal synchronization properties of driven oscillators across a hopf instability. Opt. Express 22, 7364 (2014)
D. Bimberg, Semiconductor Nanostructures (Springer, Berlin, 2008)
J. Pausch, C. Otto, E. Tylaite, N. Majer, E. Schöll, K. Lüdge, Optically injected quantum dot lasers—impact of nonlinear carrier lifetimes on frequency locking dynamics. New J. Phys. 14, 053018 (2012)
B. Krauskopf, H.M. Osinga, J. Galán-Vioque, Numerical Continuation Methods for Dynamical Systems: Path Following and Boundary Value Problems (Springer, New York, 2007)
K. Lüdge, R. Aust, G. Fiol, M. Stubenrauch, D. Arsenijević, D. Bimberg, E. Schöll, Large signal response of semiconductor quantum-dot lasers. IEEE J. Quantum Electron. 46, 1755–1762 (2010)
M. Gioannini, Ground-state quenching in two-state lasing quantum dot lasers. J. Appl. Phys. 111, 043108 (2012)
E.J. Doedel, H.B. Keller, J.P. Kervenez, Numerical analysis and control of bifurcation problems. (I) Bifurcation in finite dimensions. Int. J. Bifurc. Chaos 1, 493–520 (1991)
E.J. Doedel, B.E. Oldeman, Auto-07P: Continuation and Bifurcation Software for Ordinary Differential Equations (Concordia University, Montreal, 2009)
P. Besnard, B. Meziane, G.M. Stephan, Feedback phenomena in a semiconductor laser induced by distant reflectors. IEEE J. Quantum Electron. 29, 1271–1284 (1993)
T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, Dynamics of semiconductor lasers subject to delayed optical feedback: The short cavity regime. Phys. Rev. Lett. 87, 243901 (2001)
D.M. Kane, K.A. Shore (eds.), Unlocking Dynamical Diversity: Optical Feedback Effects on Semiconductor Lasers (Wiley, Weinheim, 2005)
M.C. Soriano, J. García-Ojalvo, C.R. Mirasso, I. Fischer, Complex photonics: dynamics and applications of delay-coupled semiconductors lasers. Rev. Mod. Phys. 85, 421–470 (2013)
B. Kim, N. Li, A. Locquet, D.S. Citrin, Experimental bifurcation-cascade diagram of an external-cavity semiconductor laser. Opt. Express 22, 2348 (2014)
Y. Cho, M. Umeda, Chaos in laser oscillations with delayed feedback; numerical analysis and observation using semiconductor laser. J. Opt. Soc. Am. B 1, 497–498 (1984)
C.H. Henry, R.F. Kazarinov, Instability of semiconductor lasers due to optical feedback from distant reflectors. IEEE J. Quantum Electron. 22, 294–301 (1986)
N. Schunk, K. Petermann, Numerical analysis of the feedback regimes for a single-mode semiconductor laser with external feedback. IEEE J. Quantum Electron. 24, 1242–1247 (1988)
G.H.M. van Tartwijk, G.P. Agrawal, Laser instabilities: a modern perspective. Prog. Quantum Electron. 22, 43–122 (1998)
J. Ohtsubo, Feedback induced instability and chaos in semiconductor lasers and their applications. Opt. Rev. 6, 1–15 (1999)
A. Ahlborn, U. Parlitz, Laser stabilization with multiple-delay feedback control. Opt. Lett. 31, 465–467 (2006)
S. Schikora, P. Hövel, H.J. Wünsche, E. Schöll, F. Henneberger, All-optical noninvasive control of unstable steady states in a semiconductor laser. Phys. Rev. Lett. 97, 213902 (2006)
T. Dahms, P. Hövel, E. Schöll, Stabilizing continuous-wave output in semiconductor lasers by time-delayed feedback. Phys. Rev. E 78, 056213 (2008)
E. Schöll, P. Hövel, V. Flunkert, M.A. Dahlem, Time-delayed feedback control: from simple models to lasers and neural systems, in Complex Time-Delay Systems: Theory and Applications, ed. by F.M. Atay (Springer, Berlin, 2010), pp. 85–150
B. Dahmani, L. Hollberg, R. Drullinger, Frequency stabilization of semiconductor lasers by resonant optical feedback. Opt. Lett. 12, 876 (1987)
P. Spano, S. Piazzolla, M. Tamburrini, Theory of noise in semiconductor-lasers in the presence of optical feedback. IEEE J. Quantum Electron. 20, 350–357 (1984)
V. Flunkert, E. Schöll, Suppressing noise-induced intensity pulsations in semiconductor lasers by means of time-delayed feedback. Phys. Rev. E 76, 066202 (2007)
K. Merghem, R. Rosales, S. Azouigui, A. Akrout, A. Martinez, F. Lelarge, G.H. Duan, G. Aubin, A. Ramdane, Low noise performance of passively mode locked quantum-dash-based lasers under external optical feedback. Appl. Phys. Lett. 95, 131111 (2009)
C.Y. Lin, F. Grillot, N.A. Naderi, Y. Li, L.F. Lester, rf linewidth reduction in a quantum dot passively mode-locked laser subject to external optical feedback. Appl. Phys. Lett. 96, 051118 (2010)
J.P. Goedgebuer, L. Larger, H. Porte, Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode. Phys. Rev. Lett. 80, 2249–2252 (1998)
H.D.I. Abarbanel, M.B. Kennel, L. Illing, S. Tang, H.F. Chen, J.M. Liu, Synchronization and communication using semiconductor lasers with optoelectronic feedback. IEEE J. Quantum Electron. 37, 1301–1311 (2001)
G. Fiol, M. Kleinert, D. Arsenijević, D. Bimberg, \(1.3 \mu m\) range 40 GHz quantum-dot mode-locked laser under external continuous wave light injection or optical feedback. Semicond. Sci. Technol. 26, 014006 (2011)
C. Otto, K. Lüdge, A.G. Vladimirov, M. Wolfrum, E. Schöll, Delay induced dynamics and jitter reduction of passively mode-locked semiconductor laser subject to optical feedback. New J. Phys. 14, 113033 (2012)
D. Arsenijević, M. Kleinert, D. Bimberg, Phase noise and jitter reduction by optical feedback on passively mode-locked quantum-dot lasers. Appl. Phys. Lett. 103, 231101 (2013)
C. Otto, L.C. Jaurigue, E. Schöll, K. Lüdge, Optimization of timing jitter reduction by optical feedback for a passively mode-locked laser. IEEE Photonics J. 6, 1501814 (2014)
M.T. Hill, E.E. Frietman, H. de Waardt, G.-D. Khoe, H.J.S. Dorren, All fiber-optic neural network using coupled SOA based ring lasers. IEEE Trans. Neural Netw. 13, 1504–1513 (2002)
Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, S. Massar, Optoelectronic reservoir computing. Sci. Rep. 2, 287 (2012)
F. Duport, B. Schneider, A. Smerieri, M. Haelterman, S. Massar, All-optical reservoir computing. Opt. Express 20, 22783–22795 (2012)
R.M. Nguimdo, G. Verschaffelt, J. Danckaert, G. Van der Sande, Fast photonic information processing using semiconductor lasers with delayed optical feedback: role of phase dynamics. Opt. Express 22, 8672–8686 (2014)
N.N. Rozanov, Kinetics of a solid-state laser with an additional moving mirror. Sov. J. Quantum Electron. 4, 1191 (1975)
R. Lang, K. Kobayashi, External optical feedback effects on semiconductor injection laser properties. IEEE J. Quantum Electron. 16, 347–355 (1980)
T. Erneux, Applied Delay Differential Equations (Springer, New York, 2009)
T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, A. Gavrielides, Delay dynamics of semiconductor lasers with short external cavities: bifurcation scenarios and mechanisms. Phys. Rev. E 67, 066214 (2003)
H. Erzgräber, D. Lenstra, B. Krauskopf, A.P.A. Fischer, G. Vemuri, Feedback phase sensitivity of a semiconductor laser subject to filtered optical feedback: experiment and theory. Phys. Rev. E 76, 026212 (2007)
D. O’Brien, S.P. Hegarty, G. Huyet, A.V. Uskov, Sensitivity of quantum-dot semiconductor lasers to optical feedback. Opt. Lett. 29, 1072 (2004)
B. Globisch, C. Otto, E. Schöll, K. Lüdge, Influence of carrier lifetimes on the dynamical behavior of quantum-dot lasers subject to optical feedback. Phys. Rev. E 86, 046201 (2012)
C. Otto, B. Globisch, K. Lüdge, E. Schöll, T. Erneux, Complex dynamics of semiconductor quantum dot lasers subject to delayed optical feedback. Int. J. Bifurc. Chaos 22, 1250246 (2012)
R. Lang, M.O. Scully, W.E. Lamb Jr, Why is the laser line so narrow? a theory of single-quasimode laser operation. Phys. Rev. A 7, 1788–1797 (1973)
S.A. Shakir, W.W. Chow, Semiclassical theory of coupled lasers. Phys. Rev. A 32, 983–991 (1985)
M.H. Rose, M. Lindberg, W.W. Chow, S.W. Koch, M. Sargent, Composite-cavity-mode approach to single-mode semiconductor-laser feedback instabilities. Phys. Rev. A 46, 603–611 (1992)
S. Tarucha, T. Honda, T. Saku, Reduction of quantized conductance at low temperatures observed in 2 to 10 \(\upmu \)m-long quantum wires. Solid State Commun. 94, 413 (1995)
D. Lenstra, Statistical-theory of the multistable external-feedback laser. Opt. Commun. 81, 209–214 (1991)
V. Flunkert, O. D’Huys, J. Danckaert, I. Fischer, E. Schöll, Bubbling in delay-coupled lasers. Phys. Rev. E 79, 065201 (R) (2009)
A. Hohl, A. Gavrielides, Bifurcation cascade in a semiconductor laser subject to optical feedback. Phys. Rev. Lett. 82, 1148–1151 (1999)
D. Pieroux, T. Erneux, B. Haegeman, K. Engelborghs, D. Roose, Bridges of periodic solutions and tori in semiconductor lasers subject to delay. Phys. Rev. Lett. 87, 193901 (2001)
C. Harder, K. Vahala, A. Yariv, Measurement of the linewidth enhancement factor alpha of semiconductor lasers. Appl. Phys. Lett. 42, 328–330 (1983)
S. Gerhard, C. Schilling, F. Gerschütz, M. Fischer, J. Koeth, I. Krestnikov, A.R. Kovsh, M. Kamp, S. Höfling, A. Forchel, Frequency-dependent linewidth enhancement factor of quantum-dot lasers. IEEE Photonics Technol. Lett. 20, 1736–1738 (2008)
A. Martinez, K. Merghem, L. Ferlazzo, C. Dupuis, A. Ramdane, J.G. Provost, B. Dagens, O. Le Gouezigou, O. Gauthier-Lafaye, Static and dynamic measurements of the \(\alpha \)-factor of five-quantum-dot-layer single-mode lasers emitting at 1.3\(\upmu \)m on GaAs. Appl. Phys. Lett. 86, 211115 (2005)
T. Fordell, A.M. Lindberg, Experiments on the linewidth-enhancement factor of a vertical-cavity surface-emitting laser. IEEE J. Quantum Electron. 43, 6–15 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Lingnau, B. (2015). Quantum-Dot Laser Dynamics. In: Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-25805-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-25805-8_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25803-4
Online ISBN: 978-3-319-25805-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)