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3D+1 Crank-Nicolson algorithm implementation for solving nonlinear ultrafast pulse propagation in a Multi-pass cell

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Abstract

A new routine to model the Homogeneous Non-Linear Schrodinger partial differential equation in three spatial and one-time coordinates was implemented by a 4D Tensor, Crank-Nicolson, second order Alternating Direction Implicit (ADI) and Adam-Bashforth algorithms in Python. This model includes self-focusing and plasma phenomena to study spectral broadening in light propagation.

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