Abstract
AbstractWe explicate the mechanism to discover a wide class of exact optical similaritons to the nonlinear Schrödinger equation appropriately modified to model beam propagation in a tapered, graded-index nonlinear fiber amplifier with an external source. By imposing certain physical conditions on the coupled nonlinear Schrödinger equations, we map them to a single-wave equation that aptly describes similariton propagation through asymmetric twin-core fiber amplifiers. The proposed asymmetric twin-core fiber is composed of two adjoining, closely spaced, single-mode fibers in which the active one is a tapered, graded-index nonlinear fiber while the passive one is a step-index fiber. A recently developed Möbius transformation-type self-similar waves are obtained for different choices of tapered index profile. We emphasize that the procedure developed in this chapter is applicable both for self-focusing and self-defocusing nonlinearities.
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