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  • Vol. 17, Iss. 11 — Jun. 1, 1992
  • pp: 792–794

Period-doubling bifurcations and modulational instability in the nonlinear ring cavity: an analytical study

M. Haelterman  »View Author Affiliations


Optics Letters, Vol. 17, Issue 11, pp. 792-794 (1992)
http://dx.doi.org/10.1364/OL.17.000792


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Abstract

A new theoretical approach for the study of the influence of diffraction on Ikeda instability in the Kerr-type nonlinear ring cavity is proposed. The simplicity of this model allows for a complete analytical study of transverse modulational instability in the period-2 regime of the cavity. In particular the emergence of stationary spatial dissipative structures in the profile of the period-doubled transmitted beam is predicted.

© 1992 Optical Society of America

History
Original Manuscript: January 23, 1992
Published: June 1, 1992

Citation
M. Haelterman, "Period-doubling bifurcations and modulational instability in the nonlinear ring cavity: an analytical study," Opt. Lett. 17, 792-794 (1992)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-17-11-792


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References

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  8. R. Seydel, From Equilibrium to Chaos, Practical Bifurcation and Stability Analysis (Elsevier, New York, 1988).

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