Analysis of lightwave propagation in the bent waveguide by the Galerkin Method

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Abstract
A simple method is developed to analyze the bent waveguide, which is described in the cylindrical coordinate system. By means of this method based on the Galerkin method, the sampling spacing can be chosen arbitrarily and it is possible to treat narrow beams. In addition we introduce the absorber using the graded lossy medium. As this lossy absorber can remove the radiation wave from the bend, so we can use the finite computational window. The lightwave propagating phenomena in the uniformly bent slab waveguide and in the nonlinear slab waveguide are demonstrated

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