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Optics Letters

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  • Vol. 26, Iss. 10 — May. 15, 2001
  • pp: 713–715

Hexagonal patterns in multistep optical parametric processes

Stefano Longhi  »View Author Affiliations


Optics Letters, Vol. 26, Issue 10, pp. 713-715 (2001)
http://dx.doi.org/10.1364/OL.26.000713


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Abstract

The existence and competition of a novel class of hexagonal patterns in a nonlinear optical system are reported. These states are found in a mean-field model of a doubly resonant frequency divide-by-3 optical parametric oscillator (3ω→2ω+ω) in which the multistep parametric process, 2ω=ω+ω , is weakly phase matched. A generalized Swift–Hohenberg equation and a set of amplitude equations are derived to describe the coexistence of hexagonal patterns formed by the superposition of either three or six phase-locked tilted waves.

© 2001 Optical Society of America

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

Citation
Stefano Longhi, "Hexagonal patterns in multistep optical parametric processes," Opt. Lett. 26, 713-715 (2001)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-26-10-713


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References

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