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The intimate interaction between phase-matched parametric amplification andstrong nonlinear mode coupling in a multimode optical fiber results in asaturable spatial mode conversion that appears to violate the conservation ofmomentum. We investigate, by theory and experiment, this new regime of strongnonlinear interaction in multimode optical fibers and show that the appearanceof the non-conservation of linear momentum is merely a clever sleight of handby nature. This novel saturable mode conversion can potentially be used in avariety of applications including the generation of exotic quantum states oflight.

Apparent non-conservation of momentum of light due to strongly coupled nonlinear dynamics in a multimode optical fiber