WIAS Preprint No. 1051, (2005)

Semiconductor laser under resonant feedback from a Fabry--Perot: Stability of continuous wave operation


  • Tronciu, Vasile Z.
  • Wünsche, Hans-Jürgen
  • Radziunas, Mindaugas
    ORCID: 0000-0003-0306-1266
  • Wolfrum, Matthias
    ORCID: 0000-0002-4278-2675

2008 Physics and Astronomy Classification Scheme

  • 42.65.Sf, 42.55.Px, 42.60.Da, 02.30.Lt


  • semiconductor laser, delayed feedback control, stability analysis




We study the continuous-wave (CW) operation of a semiconductor laser subject to optical feedback from a Fabry-Perot resonator in a case where the emission is resonant to a reflection minimum of the resonator. This configuration is treated in the framework of Lang-Kobayashi equations. The nature of bifurcations and the stability of steady state solutions is analyzed in dependence on magnitude and phase of the feedback. In contrast to conventional optical feedback from a single mirror, the locus of external cavity modes is no more elliptic but represents a tilted eight with possible satellite bubbles. Below a critical feedback strength, which is analytically given, only one single mode exists representing the completely unchanged CW emission of the laser. In this weak-feedback regime, the feedback phase allows a noninvasive control of the CW emission and a tailoring of its small-signal response within wide limits. The obtained results are prototype for all-optical realizations of delayed feedback control.

Appeared in

  • Phys. Rev. E 73, art. no. 046205, 2006.

Download Documents