Complex dynamics of semiconductor quantum dot lasers subject to delayed optical feedback

International Journal of Bifurcation and Chaos

Volumn 22, Issue 10, 2012, Pages

  Otto, Christian ^a   Globisch, Björn ^a   LÜdge, Kathy ^a   SchÖll, Eckehard ^a   Erneux, Thomas ^b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

LangKobayashi model; optical feedback; Quantum dot laser

Indexed keywords

BIFURCATION (MATHEMATICS); DAMPING; FEEDBACK; HOPF BIFURCATION; NANOCRYSTALS; OPTICAL FEEDBACK; SEMICONDUCTOR LASERS; SEMICONDUCTOR QUANTUM DOTS;

ANALYTICAL APPROXIMATION; BIFURCATION DIAGRAM; COULOMB SCATTERING; ELECTRON-HOLE MODEL; EXTERNAL CAVITY MODES; LANG-KOBAYASHI MODELS; LINEWIDTH ENHANCEMENT FACTOR; RELAXATION OSCILLATION;

QUANTUM DOT LASERS;

EID: 84868492874     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812741250246X     Document Type: Article

References (42)

1. Azouigui, S., Dagens, B., Lelarge, F., Provost, J. G., Make, D., LeGouezigou, O., Accard, A., Martinez, A., Merghem, K., Grillot, F., Dehaese, O., Piron, R., Loualiche, S., Zou, Q. & Ramdane, A. [2009] "Optical feedback tolerance of quantum-dot- and quantum-dash-based semiconductor lasers operating at 1.55 μm," IEEE J. Sel. Topics Quant. Electron. 15, 764-773.
2. Baili, G., Alouini, M., Moronvalle, C., Dolfi, D. & Bretenaker, F. [2006] "Broad-bandwidth shot-noiselimited class-A operation of a monomode semiconductor fiber-based ring laser," Opt. Lett. 31, 62-64.
3. Baili, G., Alouini, M., Malherbe, T., Dolfi, D., Sagnes, I. & Bretenaker, F. [2009] "Direct observation of the class-B to class-A transition in the dynamical behavior of a semiconductor laser," EPL 87, 44005.
4. Carroll, O., ÓDriscoll, I., Hegarty, S. P., Huyet, G., Houlihan, J., Viktorov, E. A. & Mandel, P. [2006] "Feedback induced instabilities in a quantum dot semiconductor laser," Opt. Express. 14, 10831-10837.
5. Cong, D. Y., Martinez, A., Merghem, K., Moreau, G., Lemaitre, A., Provost, J. G., Le Gouezigou, O., Fischer, M., Krestnikov, I., Kovsh, A. R. & Ramdane, A. [2007] "Optimisation of α-factor for quantum dot InAs/GaAs Fabry-Perot lasers emitting at 1.3 μm," Electron. Lett. 43, 222-224.
6. Engelborghs, K., Luzyanina, T. & Roose, D. [2002] "Numerical bifurcation analysis of delay differential equations using DDE-Biftool," ACM Trans. Math. Softw. 28, 1-21.
7. Erneux, T. [2000] "Asymptotic methods applied to semiconductor laser models," Proc. SPIE 3944, 588-601.
8. Erneux, T. & Glorieux, P. [2010] Laser Dynamics (Cambridge University Press, UK).
9. Gioannini, M., Sevega, A. & Montrosset, I. [2006] "Simulations of differential gain and linewidth enhancement factor of quantum dot semiconductor lasers," Opt. Quant. Electron. 38, 381-394.
10. Gioannini, M., The, G. A. P. & Montrosset, I. [2008] "Multi-population rate equation simulation of quantum dot semiconductor lasers with feedback," Numerical Simulation of Optoelectronic Devices, 2008. NUSOD '08. Int. Conf., p. 101.
11. Globisch, B., Otto, C. Lüdge, K. & Schöll, E. [2012] "Influence of carrier lifetimes on the dynamical behavior of quantum-dot lasers subject to optical feedback," Phys. Rev. E., accepted.
12. Grillot, F., Naderi, N. A., Pochet, M., Lin, C. Y. & Lester, L. F. [2008] "Variation of the feedback sensitivity in a 1.55 μm InAs/InP quantum-dash Fabry- Perot semiconductor laser," Appl. Phys. Lett. 93, 191108.
13. Grillot, F. & Dubey, N. [2011] "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.
14. Heil, T., Fischer, I., Elsäßer,W. & Gavrielides, A. [2001] "Dynamics of semiconductor lasers subject to delayed optical feedback: The short cavity regime," Phys. Rev. Lett. 87, 243901.
15. Heil, T., Fischer, I., Elsäßer, W., Krauskopf, B., Green, K. & Gavrielides, A. [2003] "Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms," Phys. Rev. E 67, 066214.
16. Hizanidis, J. & Schöll, E. [2008] "Control of noiseinduced spatiotemporal patterns in superlattices," Phys. Stat. Sol. (c) 5, 207-210.
17. Huyet, G., ÓBrien, D., Hegarty, S. P., McInerney, J. G., Uskov, A. V., Bimberg, D., Ribbat, C., Ustinov, V. M., Zhukov, A. E., Mikhrin, S. S., Kovsh, A. R., White, J. K., Hinzer, K. & Spring Thorpe, A. J. [2004] "Quantum dot semiconductor lasers with optical feedback," Phys. Stat. Sol. (b) 201, 345-352.
18. Krauskopf, B., van Tartwijk, G. H. M. & Gray, G. R. [2000] "Symmetry properties of lasers subject to optical feedback," Opt. Commun. 177, 347-353.
19. Kuznetsov, Y. A. [1995] Elements of Applied Bifurcation Theory (Springer, NY).
20. Lang, R. & Kobayashi, K. [1980] "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quant. Electron. 16, 347-355.
21. Levine, A. M., van Tartwijk, G. H. M., Lenstra, D. & Erneux, T. [1995] "Diode lasers with optical feedback: Stability of the maximum gain mode," Phys. Rev. A 52, R3436.
22. Lin, H. H., Lin, C. H. & Lin, F. Y. [2011] "Four-wave mixing analysis of quantum dot and quantum well lasers," Opt. Express 22, 101-110.
23. Lingnau, B., Lüdge, K., Chow, W. W. & Schöll, E. [2012] "Many-body effects and self-contained phase dynamics in an optically injected quantum-dot laser," Semiconductor Lasers and Laser Dynamics V, eds. Panajotov, K., Sciamanna, M., Valle, A. A. & Michalzik, R. p. 84321J.
24. Lüdge, K. & Schöll, E. [2009] "Quantum-dot lasers - Desynchronized nonlinear dynamics of electrons and holes," IEEE J. Quant. Electron. 45, 1396-1403.
25. Lüdge, K., Aust, R., Fiol, G., Stubenrauch, M., Arsenijevíc, D., Bimberg, D. & Schöll, E. [2010] "Large signal response of semiconductor quantum-dot lasers," IEEE J. Quant. Electron. 46, 1755-1762.
26. Lüdge, K. & Schöll, E. [2010] "Nonlinear dynamics of doped semiconductor quantum dot lasers," Eur. Phys. J. D 58, 167-174.
27. Lüdge, K. [2011] Nonlinear Laser Dynamics - From Quantum Dots to Cryptography (Wiley-VCH, Weinheim).
28. Lüdge, K., Schöll, E., Viktorov, E. A. & Erneux, T. [2011] "Analytic approach to modulation properties of quantum dot lasers," J. Appl. Phys. 109, 103112.
29. Lythe, G., Erneux, T., Gavrielides, A. & Kovanis, V. [1997] "Low pump limit of the bifurcation to periodic intensities in a semiconductor laser subject to external optical feedback," Phys. Rev. A 55, 4443-4448.
30. Majer, N., Lüdge, K. & Schöll, E. [2010] "Cascading enables ultrafast gain recovery dynamics of quantum dot semiconductor optical amplifiers," Phys. Rev. B 82, 235301.
31. Mørk, J., Tromborg, B. & Mark, J. [1992] "Chaos in semiconductor lasers with optical feedback - Theory and experiment," IEEE J. Quant. Electron. 28, 93-108.
32. Newell, T. C., Bossert, D. J., Stintz, A., Fuchs, B., Malloy, K. J. & Lester, L. F. [1999] "Gain and linewidth enhancement factor in InAs quantumdot laser diodes," IEEE Phot. Technol. Lett. 11, 1527-1529.
33. ÓBrien, D., Hegarty, S. P., Huyet, G., McInerney, J. G., Kettler, T., Lämmlin, M., Bimberg, D., Ustinov, V., Zhukov, A. E., Mikhrin, S. S. & Kovsh, A. R. [2003] "Feedback sensitivity of 1.3 μm InAs/GaAs quantum dot lasers," Electron. Lett. 39, 1819-1820.
34. Otto, C., Lüdge, K. & Schöll, E. [2010] "Modeling quantum dot lasers with optical feedback: Sensitivity of bifurcation scenarios," Phys. Stat. Sol. (b) 247, 829-845.
35. Pausch, J., Otto, C., Tylaite, E., Majer, N. Schöll, E. & Lüdge, K. [2012]. "Optically injected quantum dot lasers - impact of nonlinear carrier liftimes on frequency locking dynamics," New J. Phys. 14, 053018.
36. Ramdane, A., Martinez, A., Azouigui, S., Cong, D. Y., Merghem, K., Akrout, A., Gosset, C., Moreau, G., Lelarge, F., Dagens, B., Provost, J. G., Accard, A., Krestnikov, I. L., Kovsh, A. R. & Fischer, M. E. [2008] "Recent advances in long wavelength quantum dot based lasers," Proc. SPIE 6900, 690008.
37. Ritter, A. & Haug, H. [1993] "Theory of laser diodes with weak optical feedback. I. Small-signal analysis and side-mode spectra," J. Opt. Soc. Am. B 10, 130- 144.
38. Rottschäfer, V. & Krauskopf, B. [2007] "The ECMbackbone of the Lang-Kobayashi equations: A geometric picture," Int. J. Bifurcation and Chaos 17, 1575-1588.
39. Schunk, N. & Petermann, K. [1989] "Stability analysis for laser diodes with short external cavities," IEEE Phot. Technol. Lett. 1, 49-51.
40. van Tartwijk, G. H. M. & Lenstra, D. [1995] "Semiconductor laser with optical injection and feedback," Quant. Semiclass. Opt. 7, 87-143.
41. van Tartwijk, G. H. M. & Agrawal, G. P. [1998] "Laser instabilities: A modern perspective," Prog. Quant. Electron. 22, 43.
42. Wegert, M., Majer, N., Lüdge, K., Dommers-Völkel, S., Gomis-Bresco, J., Knorr, A., Woggon, U. & Schöll, E. [2011] "Nonlinear gain dynamics of quantum dot optical amplifiers," Semicond. Sci. Technol. 26, 014008.