Abstract

We investigate the existence and stability of parametric gap solitons in ${\chi }^{\left(2\right)}$ 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.

© 1998 Optical Society of America

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