Multistability and homoclinic clamping in nonlinear quadratic distributed feedback systems

Summary form only given. After successful demonstration of cascading phenomena and solitary waves in quadratic media, we are challenged to fully understand and exploit second-harmonic generation in periodic media. These /spl chi//sup (2)/ nonlinear distributed feedback systems (NLDFBSs) exhibit noteworthy phenomena such as bistability and gap solitons. We analyze the CW field dynamics sustained by different cascading limits in quadratic NLDFBSs. Our analytical approach reveals the existence of spatial instability effects responsible for novel features such as strong frustration (clamping) of NLDFBS transmissivity in the limit of large nonlinear phase mismatch, and the possibility of pronounced multibranch multistable behavior when operating close to nonlinear phase-matching.