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χ(2) Solitary Waves in Graded-Index Slab Waveguides
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Analytical approximate stationary solutions of solitary waves
in a graded-index slab waveguide, are found for Type I second harmonic
generation (SHG) processes, ignoring the usual
assumptions that the linear and nonlinear effects occur separately
in each transverse direction.
We compare our results with those available
in the literature and show how our model
can depict accurately the influence
of the nonlinearity on the phase constant.
The analytical results are also validated by the
numerical integration of the governing equations.
Title: χ(2) Solitary Waves in Graded-Index Slab Waveguides
Description:
Analytical approximate stationary solutions of solitary waves
in a graded-index slab waveguide, are found for Type I second harmonic
generation (SHG) processes, ignoring the usual
assumptions that the linear and nonlinear effects occur separately
in each transverse direction.
We compare our results with those available
in the literature and show how our model
can depict accurately the influence
of the nonlinearity on the phase constant.
The analytical results are also validated by the
numerical integration of the governing equations.
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