Lyapunov-potential description for laser dynamics

@article{Mayol1999LyapunovpotentialDF,
  title={Lyapunov-potential description for laser dynamics},
  author={Catalina Mayol and Ra{\'u}l Toral and Claudio R. Mirasso},
  journal={Physical Review A},
  year={1999},
  volume={59},
  pages={4690-4698}
}
We describe the dynamical behavior of both class A and class B lasers in terms of a Lyapunov potential. For class A lasers we use the potential to analyze both deterministic and stochastic dynamics. In the stochastic case it is found that the phase of the electric field drifts with time in the steady state. For class B lasers, the potential obtained is valid in the absence of noise. In this case, a general expression relating the period of the relaxation oscillations to the potential is found… 

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References

SHOWING 1-10 OF 18 REFERENCES

Laser theory

  • D. Yevick
  • Physics
    IEEE Journal of Quantum Electronics
  • 1984
Laser Theory is an English language reprint of a manuscript first published in 1970 as a volume in the hardcover SpringerVerlag Encylclopedia of Physics. The text, which covers a wide spectrum of

Laser light dynamics

Preface. List of symbols. 1. Introduction. 2. Basic properties and types of lasers. 3. Laser resonators. 4. The intensity of laser light. Rate equations. 5. The basic equations of the semiclassical

Dynamics of Lasers

Historical background, properties of lasers some basic illustrative examples nonlinear dynamic behaviour - mathematical concepts characterization of chaotic behaviour two-level single-mode gas lasers

Instabilities and Nonequilibrium Structures V

chaos, random processes, probabilistic automata, active systems with noise, complex relaxation processes, and nonequilibrium phase transitions. An enlarged list of references ( 14 pp.) including many

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Contents: Introduction: Differential Equations and Dynamical Systems.- An Introduction to Chaos: Four Examples.- Local Bifurcations.- Averaging and Perturbation from a Geometric Viewpoint.-

Long-wavelength semiconductor lasers

  • D. Renner
  • Materials Science, Physics
    IEEE Journal of Quantum Electronics
  • 1987
A semiconductor laser wherein a wide range of laser emission wavelengths can be obtained by varying the composition of monocrystalline alloys employed as semiconductor material. The semiconductor

Long wavelength semiconductor lasers

  • N. Dutta
  • Physics
    Technical Digest., International Electron Devices Meeting
  • 1988
The current status and future applications to lightwave transmission of long-wavelength semiconductor lasers emitting near 1.3 and 1.55- mu m are described. Bit-error-rate curves for a transmission

Laser physics

Principles of Lasers.By O. Svelto. Pp. x + 376. (Plenum: New York and London, 1976.) $30.00.

Synergetics

  • H. Haken
  • Geology
    IEEE Circuits and Devices Magazine
  • 1988
Synergetics is concerned with the cooperation of individual parts of a system that produces macroscopic spatial, temporal, or functional structures. The following article deals with an aspect of

B - Condensed Matter 59

  • 111
  • 1985