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Numerical Analysis of Semiconductor Ring Lasers with Backscattering Coefficients Mismatch

Year 2022, Volume 4, Issue 3, 152 - 156, 30.11.2022
https://doi.org/10.51537/chaos.1168824

Abstract

The numerical analysis of a semiconductor ring laser (SRL) by using the basic two-mode model and a parameter mismatch in the backscattering coefficients is presented in this paper to account for the asymmetry along the ring. The operation of SRL is discovered to be affected by changing the conservative backscattering parameter for a fixed value of the dissipative backscattering parameter, and the bidirectional regime with alternating oscillation can be suppressed. The numerical results of this paper and the experimental results of the literature depicts a good correspondence.

References

  • C. Etrich, N. B. A., P. Mandel and H. Zeghlache, 1992 Dynamics of a two-mode semiconductor laser. IEEE J. Quantum Electron 28: 811–821.
  • H. Zeghlache, N. B. A. L. M. H. G. L. L., P. Mandel and T. Mello, 1988 Bidirectional ring laser: Stability analysis and time-dependent solutions. Phys. Rev. A 37: 470–497.
  • J. J. Liang, M. H. L., S. T. Lau and J. M. Ballantyne, 1997 Unidirectional operation of waveguide diode ring lasers. Appl. Phys. Lett. 70: 1997–1997.
  • Kenmogne, F., S. Noubissie, G. B. Ndombou, E. T. Tebue, A. V. Sonna, et al., 2021 Dynamics of two models of driven extended jerk oscillators: Chaotic pulse generations and application in engineering. Chaos, Solitons & Fractals 152: 111291.
  • Kenmogne, F., M. L. Wokwenmendam, H. Simo, A. D. Adile, P. M. A. Noah, et al., 2022 Effects of damping on the dynamics of an electromechanical system consisting of mechanical network of discontinuous coupled system oscillators with irrational nonlinearities: Application to sand sieves. Chaos, Solitons & Fractals 156: 111805.
  • L. Gelens, S. B., G. Van Der Sande and J. Danckaer, 2009 Phasespace approach to directional switching in semiconductor ring lasers. Phys. Rev. E 79: 016213.
  • M. Sorel, A. S. R. M. J. P. R. L., G. Giuliani and S. Donat, 2003 Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model. IEEE J. Quantum Electron. 39: 1187–1195.
  • M. Sorel, A. S. S. B. G. G. R. M., P. J. R. Laybourn and S. Donati, 2002 Alternate oscillations in semiconductor ring lasers. Opt. Lett. 27: 1992–1994.
  • M. Sorel, S. D., G. Giuliani and P. J. R. Laybourn, 2002 Unidirectional bistability in semiconductor waveguide ring lasers. Appl. Phys. Lett. 80: 3051–3053.
  • Menegozzi, L. N. and W. E. Lamb, 1973 Theory of a Ring Laser. Phys. Rev. A 8: 2103–2125.
  • Numa, T., 2000 Analysis of signal voltage in a semiconductor ring laser gyro. IEEE J. Quantum Electron. 36: 1161–1167.
  • P. A. Khandokhin, I. K., I. V. Koryukin and P. Mande, 1995 Influence of carrier diffusion on the dynamics of a two-mode laser. IEEE J. Quantum Electron. 31: 647–652.
  • P. Mandel, C. E. and K. Otsuka, 1993 Laser rate equations with phase sensitive interactions. IEEE J. Quantum Electron. 29: 836– 843.
  • R. C. Neelen, D. B., M. P. Van Exter and J. P. Woerdman, 1992 Mode competition in a semiconductor ring laser. J. Mod. Opt. 39: 1623–821.
  • S. T. Kingni, L. G. T. E., G. Van der Sande and J. Danckaert, 2012 Direct modulation of semiconductor ring lasers: numerical and asymptotic analysis. JOSA B 29: 1983–1992.
  • S. T. Kingni, V. V. T., C. Ainamon and B. C. Orou, 2020 Directly modulated semiconductor ring lasers: Chaos synchronization and applications to cryptography communications. Chaos Theory and Applications 2: 31–39.
  • Sargent, M., 1993 Theory of a multimode quasi-equilibrium semiconductor laser. Phys. Rev. A 48: 717–726.
  • T. Krauss, P. J. R. L. and J. S. Roberts, 1990 CW operation of semiconductor ring lasers Electron. Appl. Phys. Lett. 26: 2095–2097.
  • T. Perez, G. V. d. S. P. C., A. Sciré and C. R. Mirasso, 2007 Bistability and all-optical switching in semiconductor ring lasers. Opt. Express 15: 12941–12948.

Year 2022, Volume 4, Issue 3, 152 - 156, 30.11.2022
https://doi.org/10.51537/chaos.1168824

Abstract

References

  • C. Etrich, N. B. A., P. Mandel and H. Zeghlache, 1992 Dynamics of a two-mode semiconductor laser. IEEE J. Quantum Electron 28: 811–821.
  • H. Zeghlache, N. B. A. L. M. H. G. L. L., P. Mandel and T. Mello, 1988 Bidirectional ring laser: Stability analysis and time-dependent solutions. Phys. Rev. A 37: 470–497.
  • J. J. Liang, M. H. L., S. T. Lau and J. M. Ballantyne, 1997 Unidirectional operation of waveguide diode ring lasers. Appl. Phys. Lett. 70: 1997–1997.
  • Kenmogne, F., S. Noubissie, G. B. Ndombou, E. T. Tebue, A. V. Sonna, et al., 2021 Dynamics of two models of driven extended jerk oscillators: Chaotic pulse generations and application in engineering. Chaos, Solitons & Fractals 152: 111291.
  • Kenmogne, F., M. L. Wokwenmendam, H. Simo, A. D. Adile, P. M. A. Noah, et al., 2022 Effects of damping on the dynamics of an electromechanical system consisting of mechanical network of discontinuous coupled system oscillators with irrational nonlinearities: Application to sand sieves. Chaos, Solitons & Fractals 156: 111805.
  • L. Gelens, S. B., G. Van Der Sande and J. Danckaer, 2009 Phasespace approach to directional switching in semiconductor ring lasers. Phys. Rev. E 79: 016213.
  • M. Sorel, A. S. R. M. J. P. R. L., G. Giuliani and S. Donat, 2003 Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model. IEEE J. Quantum Electron. 39: 1187–1195.
  • M. Sorel, A. S. S. B. G. G. R. M., P. J. R. Laybourn and S. Donati, 2002 Alternate oscillations in semiconductor ring lasers. Opt. Lett. 27: 1992–1994.
  • M. Sorel, S. D., G. Giuliani and P. J. R. Laybourn, 2002 Unidirectional bistability in semiconductor waveguide ring lasers. Appl. Phys. Lett. 80: 3051–3053.
  • Menegozzi, L. N. and W. E. Lamb, 1973 Theory of a Ring Laser. Phys. Rev. A 8: 2103–2125.
  • Numa, T., 2000 Analysis of signal voltage in a semiconductor ring laser gyro. IEEE J. Quantum Electron. 36: 1161–1167.
  • P. A. Khandokhin, I. K., I. V. Koryukin and P. Mande, 1995 Influence of carrier diffusion on the dynamics of a two-mode laser. IEEE J. Quantum Electron. 31: 647–652.
  • P. Mandel, C. E. and K. Otsuka, 1993 Laser rate equations with phase sensitive interactions. IEEE J. Quantum Electron. 29: 836– 843.
  • R. C. Neelen, D. B., M. P. Van Exter and J. P. Woerdman, 1992 Mode competition in a semiconductor ring laser. J. Mod. Opt. 39: 1623–821.
  • S. T. Kingni, L. G. T. E., G. Van der Sande and J. Danckaert, 2012 Direct modulation of semiconductor ring lasers: numerical and asymptotic analysis. JOSA B 29: 1983–1992.
  • S. T. Kingni, V. V. T., C. Ainamon and B. C. Orou, 2020 Directly modulated semiconductor ring lasers: Chaos synchronization and applications to cryptography communications. Chaos Theory and Applications 2: 31–39.
  • Sargent, M., 1993 Theory of a multimode quasi-equilibrium semiconductor laser. Phys. Rev. A 48: 717–726.
  • T. Krauss, P. J. R. L. and J. S. Roberts, 1990 CW operation of semiconductor ring lasers Electron. Appl. Phys. Lett. 26: 2095–2097.
  • T. Perez, G. V. d. S. P. C., A. Sciré and C. R. Mirasso, 2007 Bistability and all-optical switching in semiconductor ring lasers. Opt. Express 15: 12941–12948.

Details

Primary Language English
Subjects Physics, Mathematical
Journal Section Research Articles
Authors

Nasr SAEED>
College of Education, Nyala University
0000-0002-5779-7212
Sudan


Alain Francis TALLA> (Primary Author)
National advanced school of Mines and Petroleum Industries, University of Maroua
0000-0003-4712-509X
Cameroon


Oumate ALHADJI ABBBA>
Faculty of Science, University of Maroua
0000-0002-2267-7835
Cameroon


Sifeu T. KİNGNİ>
National advanced school of Mines and Petroleum Industries, University of Maroua
0000-0003-1547-6856
Cameroon

Publication Date November 30, 2022
Published in Issue Year 2022, Volume 4, Issue 3

Cite

APA Saeed, N. , Talla, A. F. , Alhadjı Abbba, O. & Kingni, S. T. (2022). Numerical Analysis of Semiconductor Ring Lasers with Backscattering Coefficients Mismatch . Chaos Theory and Applications , 4 (3) , 152-156 . DOI: 10.51537/chaos.1168824

Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science 23830