Single- and Multi-Mode Operation of a Laser with an Injected Signal

  • D. K. Bandy
  • L. A. Lugiato
  • L. M. Narducci
Part of the Springer Series in Synergetics book series (SSSYN, volume 34)


This chapter contains several new results on the steady-state and linear stability properties of a laser with an injected signal, and a brief review of selected time- dependent studies. The steady-state analysis assumes a plane-wave profile for the laser field and for the incident signal, but is more general than previous models because it applies to a ring-cavity resonator whose mirrors have an arbitrary reflectivity, and to active media with an arbitrary small-signal gain per pass. The results include a survey of the dependence of the output on the input field for a number of typical operating conditions, and a study of the longitudinal variations of the field modulus inside the cavity. The linear stability analysis generalizes earlier investigations to include the case of a multimode ring cavity in the mean-field limit, a restriction that appears unavoidable at the present time. Off-resonant modes display wide domains of instability and suggest that earlier single-mode dynamical studies should be revisited. Our survey of the time-dependent output oscillations is limited to currently published single-mode operation results because work is currently in progress on multi-mode extensions. However, this survey does include discussion of several different techniques to quantify the temporal response of the system. These techniques are generally applicable to arbitrary cavity configurations.


Lyapunov Exponent Hopf Bifurcation Resonant Mode Lower Branch Cavity Field 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • D. K. Bandy
  • L. A. Lugiato
  • L. M. Narducci

There are no affiliations available

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