Abstract
We present an analytical investigation of the propagation and the switching of fundamental solitons in a three-core nonlinear fiber coupler with a variational method using the Lagrangian density formulation. The analytical solutions were obtained directly from the coupled nonlinear Schrödinger equations. The transmission characteristics of first order solitons obtained by the analytical procedure agree well with the results from numerical analysis. Three different geometries for the nonlinear three-core directional coupler were studied. Taking into account the length of the coupler and the critical power a comparative study between these geometries was done.
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