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Theory of Optical Feedback in Semiconductor Lasers

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Semiconductor Lasers

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 111))

Abstract

Semiconductor laser is easily destabilized by optical feedback from an external reflector, since the feedback is an introduction of extra degree of freedom to the laser and it gives rise to instability to the laser. In this chapter, we discuss theoretical background of instability and chaos induced by optical feedback in semiconductor lasers and present the conditions for stability and instability of the laser operations. Various kinds of optical feedback schemes, not only plane optical mirror feedback but also configurations for other optical feedback are introduced.

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References

  • Agrawal GP (1984) Line narrowing in a single mode injection laser due to external optical feedback. IEEE J Quantum Electron 20:468–471

    Article  ADS  Google Scholar 

  • Agrawal GP, Dutta NK (1993) Semiconductor lasers, 2nd edn. Van Nostrand Reinhold, New York

    Google Scholar 

  • Agrawal GP, Gray GR (1992) Effect of phase-conjugate feedback on the noise characteristics of semiconductor lasers. Phys Rev A 46:5890–5898

    Article  ADS  Google Scholar 

  • Agrawal GP, Klaus JT (1991) Effect of phase-conjugate feedback on semiconductor laser dynamics. Opt Lett 16:1325–1327

    Article  ADS  Google Scholar 

  • Acket GA, Lenstra D, den Boef J, Verbeek BH (1984) The influence of feedback intensity on longitudinal mode properties and optical noise in index-guided semiconductor lasers. IEEE J Quantum Electron 20:1163–1169

    Article  ADS  Google Scholar 

  • Anderson OK, Fischer APA, Lane LC, Louvergneaux E, Stolte S, Lenstra D (1999) Experimental stability diagram of a diode laser subject to weak phase-conjugate feedback from a Rubidium vapor cell. IEEE J Quantum Electron 35:577–582

    Article  ADS  Google Scholar 

  • Binder JO, Cormack D, Somani A (1990) Intermodal tuning characteristics of an INGaAsP laser with optical feedback from an external grating reflector. IEEE J Quantum Electron 26:1191–1199

    Article  ADS  Google Scholar 

  • Bochove E (1997) Theory of a semiconductor laser with phase-conjugate optical feedback. Phys Rev A 55:3891–3899

    Article  ADS  Google Scholar 

  • Cho Y, Umeda M (1986) Observation of chaos in a semiconductor laser with delayed feedback. Opt Commun 59:131–136

    Article  ADS  Google Scholar 

  • Cohen JS, Dentine RR, Verbeek BH (1988) The effect of optical feedback on the relaxation oscillation in semiconductor lasers. IEEE J Quantum Electron 24:1989–1995

    Article  ADS  Google Scholar 

  • DeTienne DH, Gray GR, Agrawal GP, Lenstra D (1997) Semiconductor laser dynamics for feedback from a finite-penetration-depth phase-conjugate mirror. IEEE J Quantum Electron 33:838–844

    Article  ADS  Google Scholar 

  • Fleming MW, Mooradian A (1981a) Fundamental line broadening of single-mode (AaAl)As diode lasers. Appl Phys Lett 38:511–513

    Article  ADS  Google Scholar 

  • Fleming MW, Mooradian A (1981b) Spectral characteristics of external-cavity controlled semiconductor lasers. IEEE J Quantum Electron 17:44–59

    Article  ADS  Google Scholar 

  • Fischer I, van Tartwijk GHM, Levine AM, Elsäßer W, Göbel EO, Lenstra D (1996) Fast pulsing and chaotic itinerancy with a drift in the coherence collapse of semiconductor lasers. Phys Rev Lett 76:220–223

    Article  ADS  Google Scholar 

  • Fravre F (1987) Theoretical analysis of external optical feedback on DFB semiconductor lasers. IEEE J Quantum Electron 23:81–88

    Article  ADS  Google Scholar 

  • Gavrielides A, Kovanis V, Erneux T (1997) Analytical stability boundaries for a semiconductor laser subject to optical injection. Opt Commun 136:253–256

    Article  ADS  Google Scholar 

  • Genty G, Gröhn A, Talvitie H, Kaivola M, Ludvigsen H (2000) Analysis of the linewidth of a grating-feedback GaAlAs laser. IEEE J Quantum Electron 36:1193–1198

    Article  ADS  Google Scholar 

  • Glas P, Müller R, Klehr A (1983) Bistability, self-sustained oscillations, and irregular operation of a GaAs laser coupled to an external resonator. Opt Commun 47:297–301

    Article  ADS  Google Scholar 

  • Goldberg L, Taylor HF, Dandrige A, Weller JF, Miles RO (1982) Coherence collapse in single mode semiconductor lasers due to optical feedback. IEEE J Quantum Electron 18:555–679

    Article  ADS  Google Scholar 

  • Gray GR, Ryan AT, Agrawal GP, Gage EC (1993) Control of optical-feedback-induced laser intensity noise in optical data recording. Opt Eng 32:739–745

    Article  ADS  Google Scholar 

  • Gray GR, Huang D, Agrawal GP (1994) Chaotic dynamics of semiconductor lasers with phase-conjugate feedback. Phys Rev A 49:2096–2105

    Article  ADS  Google Scholar 

  • Gray GR, DeTienne DH, Agrawal GP (1995) Mode locking in semiconductor lasers by phas-conjugate optical feedback. Opt Lett 20:1295–1297

    Article  ADS  Google Scholar 

  • Green K, Krauskopf B (2006) Mode structure of a semiconductor laser subject to filtered optical feedback. Opt Commun 258:243–255

    Article  ADS  Google Scholar 

  • Henry CH (1986) Theory of spontaneous emission noise in open resonators and its applications to lasers and optical amplifiers. J Lightwave Technol 4:288–297

    Article  ADS  Google Scholar 

  • Helms J, Petermann K (1990) A simple analytic expression for the stable operation range of laser diode with optical feedback. IEEE J Quantum Electron 26:833–836

    Article  ADS  Google Scholar 

  • Heil T, Uchida A, Davis P, Aida T (2003) TE-TM dynamics in a semiconductor laser subject to polarization-rotated optical feedback. Phys Rev A 68: 033811-1–033811-8

    Google Scholar 

  • Katagiri Y, Hara S (1994) Increased spatial frequency in interferential undulations of coupled cavity lasers. Appl Opt 33:5564–5570

    Article  ADS  Google Scholar 

  • Kakiuchida H, Ohtsubo J (1994) Characteristics of a semiconductor laser with external feedback. IEEE J Quantum Electron 30:2087–2097

    Article  ADS  Google Scholar 

  • Kikuchi K, Okoshi T (1982) Simple formula giving spectrum-narrowing ratio of semiconductor-laser output obtained by optical feedback. Electron Lett 18:10–12

    Article  ADS  Google Scholar 

  • Koelink MH, Slot M, de Mul FFM, Grever R, Graaff AC, Dasse M, Aaroudse JG (1992) Laser Doppler velocimeter based on the self-mixing effect in a fiber-coupled semiconductor laser. Theory Appl Opt 31:3401–3408

    Article  ADS  Google Scholar 

  • Kürz P, Mukai T (1996) Frequency stabilization of semiconductor laser by external phase-conjugate feedback. Opt Lett 21:1369–1371

    Article  ADS  Google Scholar 

  • Lang R, Kobayashi K (1980) External optical feedback effects on semiconductor injection properties. IEEE J Quantum Electron 16:347–355

    Article  ADS  Google Scholar 

  • Langley LN, Shore KA (1994) Intensity noise and linewidth characteristics of laser diodes with phase conjugate optical feedback. IEE Proc Optoelectron 141:103–108

    Article  Google Scholar 

  • Lenstra D, van Vaalen M, Jaskorzynska B (1984) On the theory of a single-mode laser with weak optical feedback. Physica 125C:255–264

    Google Scholar 

  • Lenstra L, Verbeek BH, den Boef AJ (1985) Coherence collapse in single-mode semiconductor lasers due to optical feedback. IEEE J Quantum Electron 21:674–679

    Article  ADS  Google Scholar 

  • Lenstra D, Vemuri G, Yousefi M (2005) Generalized optical feedback. In: Kane DM, Shore KA (eds) Unlocking dynamical diversity—Optical feedback effects on semiconductor lasers. Chap 3. Wiley, Chichester

    Google Scholar 

  • Levine AM, van Tartwijk GHM, Lenstra D, Erneux T (1995) Diode lasers with optical feedback: stability of the maximum gain mode. Phys Rev A 52:R3436–R3439

    Article  ADS  Google Scholar 

  • Liby BW, Statman D (1996) Controlling the linewidth of a semiconductor laser with photorefractive phase conjugate feedback. IEEE J Quantum Electron 32:835–838

    Article  ADS  Google Scholar 

  • Lin C, Burrus CA Jr, Coldren LA (1984) Characteristics of single-longitudinal mode selection in short-coupled-cavity (SCC) injection lasers. J Lightwave Technol 2:544–549

    Article  ADS  Google Scholar 

  • Mils RO, Dandrigdge A, Tveten B, Taylor HF, Tgiallorenzi TG (1980) Feedback induced line broadening in cw channel-substrate planar laser diodes. Appl Phys Lett 37:990–992

    Article  ADS  Google Scholar 

  • Mørk J, Tromborg B, Christiansen PL (1988) Bistability and low-frequency fluctuations in semiconductor lasers with optical feedback: a theoretical analysis. IEEE J Quantum Electron 24:123–133

    Article  ADS  Google Scholar 

  • Mørk J, Mark J, Tromborg B (1990a) Route to chaos and competition between relaxation oscillations for a semiconductor laser with optical feedback. Phys Rev Lett 65:1999–2002

    Article  ADS  Google Scholar 

  • Mørk J, Semkow M, Tromborg B (1990b) Measurement and theory of mode hopping in external cavity laser. Electron Lett 26:284–285

    Article  Google Scholar 

  • Mørk J, Tromborg B, Mark J (1992) Chaos in semiconductor lasers with optical feedback: theory and experiment. IEEE J Quantum Electron 28:93–108

    Article  ADS  Google Scholar 

  • Miltyeni E, Ziegler MO, Hofmann M, Sacher J, Elsäßer W, Göbel EO, MacFarlane DL (1995) Long-term stable mode locking of a visible diode laser with phase-conjugate feedback. Opt Lett 20:734–736

    Article  ADS  Google Scholar 

  • Murakami A, Ohtsubo J (1998) Dynamics and linear stability analysis in semiconductor lasers with phase-conjugate feedback. IEEE J Quantum Electron 34:1979–1986

    Article  ADS  Google Scholar 

  • Murakami A, Ohtsubo J (1999) Dynamics of semiconductor lasers with optical feedback from photorefractive phase conjugate mirror. Opt Rev 6:350–364

    Article  Google Scholar 

  • Murakami A, Ohtsubo J, Liu Y (1997) Stability analysis of semiconductor laser with phase-conjugate feedback. IEEE J Quantum Electron 33:1825–1831

    Article  ADS  Google Scholar 

  • Ohtsubo J (2002) Chaotic dynamics in semiconductor lasers with optical feedback. In: Wolf E (ed) Progress in optics, Chap 1, vol 44. North-Holland, Amsterdam

    Google Scholar 

  • Osmundsen JH, Gade N (1983) Influence of optical feedback on laser frequency spectrum and threshold conditions. IEEE J Quantum Electron 19:465–469

    Article  ADS  Google Scholar 

  • Otsuka K, Chern JL (1991) High-speed picosecond pulse generation in semiconductor lasers with incoherent optical feedback. Opt Lett 16:1759–1761

    Article  ADS  Google Scholar 

  • Petermann K (1988) Laser diode modulation and noise. Kluwer Academic, Dordrecht

    Book  Google Scholar 

  • Pittoni F, Gioannini M, Montrosset I (2001) Time-domain analysis of fiber grating semiconductor laser operation in active mode-locking regime. IEEE J Select Topics Quantum Electron 7:280–286

    Article  Google Scholar 

  • Pochi Y (1993) Introduction to photorefractive nonlinear optics. Wiley, New York

    Google Scholar 

  • Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical recipes: the art of scientific computing. Cambridge University Press, Cambridge

    Google Scholar 

  • Risch C, Voumard C (1977) Self-pulsation in the output intensity and spectrum of GaAs-AlGaAs cw diode lasers coupled to a frequency-selective external optical cavity. J Appl Phys 48:2083–2085

    Article  ADS  Google Scholar 

  • Sacher J, Elsäßer W, Göbel EO (1989) Intermittency in the coherence collapse of a semiconductor laser with external feedback. Phys Rev Lett 63:2224–2227

    Article  ADS  Google Scholar 

  • Tamburrini M, Spano P, Piazolla S (1983) Influence of an external cavity on semiconductor laser phase noise. Appl Phys Lett 43:410–412

    Article  ADS  Google Scholar 

  • Tkach RW, Chraplyvy AR (1985) Line broadening and mode splitting due to weak feedback in single frequency \(1.5-\mu \text{ m}\) lasers. Electron Lett 21:1081–1083

    Article  Google Scholar 

  • Tkach RW, Chraplyvy AR (1986) Regimes of feedback effects in \(1.5-\mu \text{ m}\) distributed feedback lasers. J Lightwave Technol 4:1655–1661

    Article  ADS  Google Scholar 

  • Tromborg B, Osmundsen JH, Olesen H (1984) Stability analysis for a semiconductor laser in an external cavity. IEEE J Quantum Electron 20:1023–1032

    Article  ADS  Google Scholar 

  • Tromborg B, Olssen H, Pan X, Saito S (1987) Transmission line description of optical feedback and injection locking for Fabry-Perot and DFB lasers. IEEE J Quantum Electron 23:1875–1889

    Article  ADS  Google Scholar 

  • van Tartwijk GHM, Lenstra D (1995) Semiconductor lasers with optical injection and feedback. Quantum Semiclass Opt 7:87–148

    Article  ADS  Google Scholar 

  • van Tartwijk GHM, van der Linden HJC, Lenstra D (1992) Theory of a diode laser with phase-conjugate feedback. Opt Lett 17:1590–1592

    Article  ADS  Google Scholar 

  • van der Graaf WA, Pesquera L, Lenstra D (1998) Stability of a diode laser with phase-conjugate feedback. Opt Lett 23:256–258

    Article  ADS  Google Scholar 

  • Voumard C (1977) External-cavity-controlled 32 MHz narrow-band cw GaAlAs-diode lasers. Opt Lett 1:61–63

    Article  ADS  Google Scholar 

  • Ye SY, Ohtsubo J (1998) Experimental investigation of stability enhancement in semiconductor lasers with optical feedback. Opt Rev 5:280–284

    Article  Google Scholar 

  • Yousefi M, Lenstra D (1999) Dynamical behavior of semiconductor laser with filtered external optical feedback. IEEE J Quantum Electron 35:970–976

    Article  ADS  Google Scholar 

  • Zah CE, Osinski JS, Menocal SG, Tabatabaie N, Lee TP, Dentai AG, Burrus CA (1987) Wide-bandwidth and high-power \(1.3 \mu \text{ m}\) InGaAsP buried crescent lasers with semi-insulating Fe-doped InP current blocking layers. Electron Lett 23:52–53

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Engineering, Shizuoka University, Johoku Chome 3-5-1, Hamamatsu, Shizuoka, 432-8561, Japan

    Junji Ohtsubo

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  1. Junji Ohtsubo
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Correspondence to Junji Ohtsubo .

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Ohtsubo, J. (2013). Theory of Optical Feedback 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_4

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  • DOI: https://doi.org/10.1007/978-3-642-30147-6_4

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  • Online ISBN: 978-3-642-30147-6

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