Abstract

We systematically study the formation of cavity solitons in a high-finesse, doubly resonant degenerate optical parametric oscillator. Three types of cavity soliton, emanating from different plane-wave critical points, are identified. By means of amplitude equations the bifurcation dynamics of these solutions is studied and classified. We compare cavity solitons calculated from amplitude equations with the full numerical solutions near the critical points and trace their evolution numerically far from bifurcation. We found cavity soliton types previously not identified, namely, dark and oscillating solitons. These numerical studies are complemented by a linear stability analysis of cavity solitons. Various decay situations for unstable cavity solitons are discussed.

© 2002 Optical Society of America

Dissipative solitons and their critical slowing down near a supercritical bifurcation

Z. Bakonyi, D. Michaelis, U. Peschel, G. Onishchukov, and F. Lederer
J. Opt. Soc. Am. B 19(3) 487-491 (2002)

Dynamical properties of two-dimensional Kerr cavity solitons

William J. Firth, Graeme K. Harkness, Angus Lord, John M. McSloy, Damià Gomila, and Pere Colet
J. Opt. Soc. Am. B 19(4) 747-752 (2002)

Cavity solitons in frequency divide-by-three optical parametric oscillator

Kestutis Staliunas and Stefano Longhi
J. Opt. Soc. Am. B 23(6) 1124-1128 (2006)

Vectorial Kerr-cavity solitons

V. J. Sánchez-Morcillo, I. Pérez-Arjona, F. Silva, G. J. de Valcárcel, and E. Roldán
Opt. Lett. 25(13) 957-959 (2000)

Oscillating dark cavity solitons

Dirk Michaelis, Ulf Peschel, and Falk Lederer
Opt. Lett. 23(23) 1814-1816 (1998)