Abstract
Parametric interactions in optical fibers have been proved useful for amplification and generation of new frequencies.1 In parametric four-photon mixing two-pump photons combine to stimulate emission at both Stokes and anti-Stokes frequencies. In birefringent fibers the phase matching condition can be obtained, for example, when the pump and sidebands are orthogonally polarized along the axes of the fiber.2,3 Efficient emission of cross-polarized sidebands stimulated through the parametric effect from noise has been demonstrated.2,3 Previous analyses have neglected pump depletion, although it may be relevant when efficient conversions are obtained. We show on the contrary that the stationary nonlinear coupled mode equations describing the interaction may be solved. The solutions suggest the possibility of observing spatial instability effects, which have been proved useful for all-optical switching.4 In fact, nonlinear spatial eigensolutions (i.e., propagating unchanged) exist, either stable or unstable, and characterized by a given sideband to pump input power ratio relative to phase, total input power, birefringence, and chromatic dispersion. Spatially unstable evolutions result when slightly changing the input conditions around the unstable eigensolutions.
© 1990 Optical Society of America
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