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By Banerjee, Partha P.; Jarem, John M

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Extra resources for Computational methods for electromagnetic and optical systems

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Our scheme is based on the combination of the standard split-step fast Fourier transform (SSFFT) and the Hankel transform, which exploits the cylindrical symmetry of the problem. This enhances the computation time and precision appreciably. In addition, we also use the concepts from the similarity solution developed by McLaughlin et al. [14] and apply them to our split-step spectral method mentioned above, so that the grid transverse spatial range and the longitudinal spatial step are adaptively updated.

When the nonlinear effect is stronger than diffraction, the beam self-focuses and collapse occurs at a distance zc ≤ zr. 1585(p − 1) for r0 = 1/ 2 , where p = N0/Nc and N 0 = c 2r0D [18]. Note that the ub condition H = 0, which leads to Pc , leads to an overestimate of the actual critical power. We now outline our numerical adaptive spectral technique called the adaptive split-step fast Hankel transform (AFHTSS) used to track the solution of the NLS equation for σ = 1, D = 2 and variable ε. Our scheme is based on the combination of the standard split-step fast Fourier transform (SSFFT) and the Hankel transform, which exploits the cylindrical symmetry of the problem.

We now outline our numerical adaptive spectral technique called the adaptive split-step fast Hankel transform (AFHTSS) used to track the solution of the NLS equation for σ = 1, D = 2 and variable ε. Our scheme is based on the combination of the standard split-step fast Fourier transform (SSFFT) and the Hankel transform, which exploits the cylindrical symmetry of the problem. This enhances the computation time and precision appreciably. In addition, we also use the concepts from the similarity solution developed by McLaughlin et al.

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