Spatiotemporal pulse collapse on periodic potentials
Yuri S. KivsharOptical Sciences Centre, Australian National University, Australian Capital Territory, 0200 Canberra, AustraliaSergei K. TuritsynOptical Sciences Centre, Australian National University, Australian Capital Territory, 0200 Canberra, Australia
1994en
ABI
Abstract
We present analytical results, based on the separation of different spatial scales and integral relations, which describe the spatiotemporal evolution of pulses in a nonlinear medium with periodically varying parameters (e.g., a nonlinear waveguide with a grating). Exact sufficient criteria for blow-up are formulated and the dependence of the spatiotemporal pulse collapse on the grating amplitude and period is discussed.
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Cited by 30 references