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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 7 — Jul. 1, 2013
  • pp: 1843–1852

Symmetric and asymmetric solitons in dual-core couplers with competing quadratic and cubic nonlinearities

Lazar Gubeskys and Boris A. Malomed  »View Author Affiliations

JOSA B, Vol. 30, Issue 7, pp. 1843-1852 (2013)

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We consider the model of a dual-core spatial-domain coupler with χ(2) and χ(3) nonlinearities acting in two parallel cores. We construct families of symmetric and asymmetric solitons in the system with self-defocusing χ(3) terms and test their stability. The transition from symmetric to asymmetric soliton branches and back to the symmetric ones proceeds via a bifurcation loop. Namely, a pair of stable asymmetric branches emerges from the symmetric family via a supercritical bifurcation; eventually, the asymmetric branches merge back into the symmetric one through a reverse bifurcation. The existence of the loop is explained by means of an extended version of the cascading approximation for the χ(2) interaction, which takes into regard the cross-phase modulation part of the χ(3) interaction. When the intercore coupling is weak, the bifurcation loop features a concave shape, with the asymmetric branches losing their stability at the turning points. In addition to the two-color solitons, which are built of the fundamental-frequency (FF) and second-harmonic (SH) components, in the case of the self-focusing χ(3) nonlinearity we also consider single-color solitons, which contain only the SH component but may be subject to the instability against FF perturbations. Asymmetric single-color solitons are always unstable, whereas the symmetric ones are stable, provided that they do not coexist with two-color counterparts. Collisions between tilted solitons are studied, too.

© 2013 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(230.4320) Optical devices : Nonlinear optical devices
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: March 13, 2013
Revised Manuscript: April 28, 2013
Manuscript Accepted: May 10, 2013
Published: June 10, 2013

Lazar Gubeskys and Boris A. Malomed, "Symmetric and asymmetric solitons in dual-core couplers with competing quadratic and cubic nonlinearities," J. Opt. Soc. Am. B 30, 1843-1852 (2013)

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