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Instabilities and Chaos in Quantum Optics pp 73–108Cite as

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

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 34))

Abstract

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.

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Authors
  1. D. K. Bandy
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  2. L. A. Lugiato
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  3. L. M. Narducci
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Editor information

Editors and Affiliations

  1. Dipartimento di Fisica dell’ Università, Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125, Firenze, Italy

    F. Tito Arecchi

  2. Department of Physics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, UK

    Robert G. Harrison

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© 1987 Springer-Verlag Berlin Heidelberg

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Bandy, D.K., Lugiato, L.A., Narducci, L.M. (1987). Single- and Multi-Mode Operation of a Laser with an Injected Signal. In: Arecchi, F.T., Harrison, R.G. (eds) Instabilities and Chaos in Quantum Optics. Springer Series in Synergetics, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71708-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-71708-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71710-9

  • Online ISBN: 978-3-642-71708-6

  • eBook Packages: Springer Book Archive

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