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RPA for the linewidth of the van der Pol Oscillator

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Zeitschrift für Physik B Condensed Matter

Abstract

The linewidth of then component van der Pol Oxcillator is calculated in random phase approximation. Forn=2 this model describes a single mode laser. This approximation is asymptotically correct for weak and strong pumping and also in the largen limit for all pumping. The result is in good agreement with numerical results forn=2 in the whole range including the threshold. The corresponding vertex renormalized approximation on the other hand yields poor agreement and the wrong asymptotic value in the limit of strong pumping. The reason for this failure is discussed.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900, Heidelberg 1, Germany

    Klaus Ziegler & Heinz Horner

Authors
  1. Klaus Ziegler
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  2. Heinz Horner
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Ziegler, K., Horner, H. RPA for the linewidth of the van der Pol Oscillator. Z Physik B 37, 339–341 (1980). https://doi.org/10.1007/BF01352744

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  • DOI: https://doi.org/10.1007/BF01352744

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