Existence, bistability, and instability of Kerr-like parametric gap solitons in quadratic media.
We investigate the existence and stability of parametric gap solitons in chi((2)) media in the limit of Kerr-equivalent nonlinearities. We reveal soliton branching (bistability) described by an explicit criterion. Unlike in other optical solitons, both branches of gap solitons can be unstable owing to oscillatory instabilities. Despite these mechanisms stable gap solitons do exist.
Conti
C
C
De Rossi
A
A
Trillo
S
S