Abstract
We report on the possibility of applying optical feedback (OFB) from a short external cavity to change the multimode hopping oscillation in long-wavelength semiconductor laser to single-mode oscillation. We characterize the influence of OFB on the modal oscillations and the associated noise spectrum of the multimode laser. The study is based on a modified time-delay multimode rate-equation model of the laser that includes mechanisms of spectral gain suppression along with OFB induced due to multiple reflections by an external reflector. The study is applied to 1.55 μm-InGaAsP laser that exhibits multimode hopping in its solitary version and supports wide bandwidth. The noise is evaluated in terms of the relative intensity noise. We show that strong OFB changes impact of the asymmetric gain suppression on the mode structure of the laser so that it changes the side mode suppression ratio (SMSR) and induces jumping of the strongest modes to longer or shorter wavelengths in random-like fashion. The change of SMSR of the laser occurs mainly when strong OFB induces multiperiodic and chaos oscillations. We specify the ranges of OFB over which SMO is induced. The low-frequency noise is lowest when the laser maintains CW operation or exhibits period-1 oscillations, while it is maximized when the laser dynamics are chaotic.
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References
Agrawal, G.P.: Gain nonlinearities in semiconductor lasers: theory, and applications to distributed feedback lasers. IEEE J. Quantum Eelectron. QE23, 860–868 (1987)
Agrawal, G.P., Dutta, N.K.: Semiconductor Lasers. Van Nostrand Reinhold, New York (1993)
Ahmed, M.: Numerical characterization of intensity and frequency fluctuations associated with mode hopping and single-mode jittering in semiconductor lasers. Physica D 176, 212–236 (2003)
Ahmed, M., Yamada, M.: Influence of instantaneous mode-competition on the dynamics of semiconductor lasers. IEEE J. Quantum Electron. 38, 682–693 (2002)
Ahmed, M., Yamada, M.: Field fluctuations and spectral lineshape in semiconductor lasers subjected to optical feedback. J. Appl. Phys. 95, 7573–7583 (2004)
Ahmed, M., Yamada, M.: Inducing single-mode oscillation in Fabry–Perot InGaAsP lasers by applying external optical feedback. IET Optoelectron. 4, 133–141 (2010)
Ahmed, M., Yamada, M., Saito, M.: Numerical modeling of intensity and phase noises in semiconductor lasers. IEEE J. Quantum Electron. 37, 1600–1610 (2001)
Ahmed, M., Bakry, A., Altuwirqi, R., Alghamdi, M., Koyama, F.: Enhancing modulation bandwidth of semiconductor lasers beyond 50 GHz by strong optical feedback for use in mm-wave radio over fiber links. Jpn. J. Appl. Phys. Rapid Commun. 53, 124103 (2013)
Al-Ghamdi, M.S., Bakry, A., Ahmed, M.: Inducing tunable single-mode operation of Fabry–Perot semiconductor laser coupled with very-short cavity with selective optical feedback. J. Eur. Opt. Soc. Rapid Publ. 15, 22 (2019a)
Al-Ghamdi, M.S., Dalir, H., Bakry, A., Ahmed, M.: Regimes of bandwidth enhancement in coupled-cavity semiconductor laser using photon–photon resonance. Jpn. J. Appl. Phys. 58, 112003 (2019b)
Bogatov, A.P., Eliseev, P.G., Sverlov, B.N.: Anomalous interaction of spectral modes in a semiconductor laser. IEEE J. Quantum Electron. 11, 510–515 (1975)
Donati, S.: Transition from short-to-long cavity and from self-mixing to chaos in a delayed feedback laser. IEEE J. Quantum Electron. 48, 1352–1359 (2012)
Donati, S., Horng, R.: The diagram of feedback regimes revisited. IEEE J. Sel. Top. Quantum Electron. 19, 1500309–1500309 (2013)
Donati, S., Hwang, S.-K.: Chaos and high-level dynamics in coupled lasers and their applications. Prog. Quantum Electron. 36, 293–341 (2012)
Gomatam, B., de Fonzo, A.: Theory of hot carrier effects on non-linear gain in GaAs–GaAlAs lasers and amplifiers. IEEE J. Quantum Electron. QE26, 1689–1704 (1990)
Heidari, E., Dalir, H., Ahmed, M., Sorger, V.J., Chen, R.T.: Hexagonal transverse-coupled-cavity VCSEL redefining the high-speed lasers. Nanophotonics 9, 4743–4748 (2020)
Imran, S.M., Yamada, M., Kuwamura, Y.: Theoretical analysis of the optical feedback noise based on multimode model of semiconductor laser. IEEE J. Quantum Electron. 48, 521–527 (2012)
Ishikawa, H., Yano, M., Takusagawa, M.: Mechanism of asymmetric longitudinal mode competition in InGaAsP/InP lasers. Appl. Phys. Lett. 40, 553–555 (1982)
Kallimiani, K., O’Mahony, M.J.: Relative intensity noise for laser diode with arbitrary amount of optical feedback. IEEE J. Quantum Electron. 34, 1438–1446 (1998)
Kane, D.M., Shore, K.A.: Unlocking Dynamic Diversity-Optical Feedback Effects on Semiconductor Lasers. Wiley, London (2008)
Lang, R., Kobayashi, K.: External optical feedback effects on semiconductor injection laser properties. IEEE J. Quantum Electron. 16, 347–355 (1980)
Mahmoud, A., Ahmed, M.: Effect of asymmetric gain suppression on dynamics of multimode semiconductor lasers. Opt. Commun. 462, 125365 (2020)
Mork, J., Tromberg, B., Mark, J.: Chaos in semiconductor lasers with optical feedback: theory and experiment. IEEE J. Quantum Electron. 28, 93–108 (1992)
Murakami, A., Ohtsubo, J.: Dynamics and linear stability analysis in semiconductor lasers with phase-conjugate feedback. IEEE J. Quantum Electron. 34, 1979–1986 (1998)
Ogasawara, N., Ito, R.: Longitudinal mode competition and asymmetric gain saturation in semiconductor injection lasers: I. Experiment. Jpn. J. Appl. Phys. 27, 607–614 (1988)
Ogasawara, N., Ito, R.: Longitudinal mode competition and asymmetric gain saturation in semiconductor injection lasers: II. Theory. Jpn. J. Appl. Phys. 27, 615–626 (1989)
Ogita, S., Lowery, A.J., Tucker, R.S.: Influence of asymmetric nonlinear gain on the transient of longitudinal modes in long wavelength Fabry–Perot laser diodes. IEEE J. Quantum Electron. 33, 198–210 (1997)
Ohtsubo, J.: Semiconductor Lasers: Stability, Instability and Chaos, 3rd edn. Springer, Berlin (2013)
Ruan, Y., Liu, B., Yu, Y., Xi, J., Guo, Q., Tong, J.: High sensitive sensing by a laser diode with dual optical feedback operating at period-one oscillation. Appl. Phys. Lett. 115, 011102 (2019)
Sato, K., Kuwahar, S., Miyamoto, Y.: Chirp characteristics of 40-Gb/s directly modulated distributed-feedback laser diodes. J. Lightwave Technol. 23, 3790–3797 (2005)
Schunk, N., Petermann, K.: Coherence collapse in single-mode semiconductor lasers due to optical feedback. IEEE J. Quantum Electron. 24, 1242–1247 (1988)
Spencer, P., Pees, P., Pierce, I.: Theoretical analysis. In: Kane, D.M., Shore, K.A. (eds.) Unlocking Dynamic Diversity-Optical Feedback Effects on Semiconductor Lasers. Wiley, London (2008)
Suematsu, Y., Adams, A.R.: Handbook of Semiconductor Lasers and Photonic Integrated Circuits. Chapman & Hall, London (1994)
Taimre, T., Nikolić, M., Bertling, K., Lim, Y.L., Bosch, T., Rakić, A.D.: Laser feedback interferometry: a tutorial on the self-mixing effect for coherent sensing. Adv. Opt. Photonics 7, 570–663 (2015)
Tkach, R.W., Chraplyvy, A.R.: Regimes of feedback effects in 1.5-m distributed feedback lasers. J. Lightwave Technol. 4, 1655–1661 (1986)
Tromborg, B., Osmundsen, J.H., Olesen, H.: Stability analysis for a semiconductor laser in an external cavity. IEEE J. Quantum Electron. 20, 1023–1032 (1984)
Yamada, M.: Theory of mode competition noise in semiconductor injection laser. IEEE J. Quantum Electron. 22, 1052–1059 (1986)
Yamada, M.: Theoretical analysis of nonlinear optical phenomena taking into account the beating vibration of the electron density in semiconductor lasers. J. Appl. Phys. 66, 81–89 (1989)
Yamada, M., Suematsu, Y.: Analysis of gain suppression in undoped injection lasers. J. Appl. Phys. 52, 2653–2664 (1981)
Yamada, M., Kanamori, A., Takayama, S.: Experimental evidence of mode competition phenomena on the feedback induced noise in semiconductor lasers. IEICE Trans. Electron. 79, 1766–1768 (1996)
Yamada, M., Ishimori, W., Sakaguchi, H., Ahmed, M.: Time dependent measurement of the mode competition phenomena among longitudinal modes in long-wavelength lasers. IEEE J. Quantum Electron. 39, 1548–1554 (2003)
Yu, Y., Xi, J., Chicharo, J.F., Bosch, T.M.: Optical feedback self-mixing interferometry with a large feedback factor C: behavior studies. IEEE J. Quantum Electron. 45, 840–848 (2009)
Acknowledgements
This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under Grant No. (RG-18-130-41). The authors, therefore, acknowledge with thanks DSR technical and financial support.
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Ahmed, M., Bakry, A., Alshahrie, A. et al. Use of external optical feedback to stabilize multimode hopping and reduce intensity noise in long-wavelength semiconductor laser. Opt Quant Electron 53, 207 (2021). https://doi.org/10.1007/s11082-021-02860-9
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DOI: https://doi.org/10.1007/s11082-021-02860-9