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Propagation Technique for Ultrashort Pulses III: Pulse Splitting of Ultrashort Pulses in a Kerr Medium
Impact of such terms as third order dispersion, self-steepening and stimulated Raman scattering on evolution of ultrashort pulses is considered in detail. Under influence of these effects, pulse did not maintain its initial shape. Pulse splits into constituents, its spectrum also evolving into se ...
Propagation Technique for Ultrashort Pulses II: Numerical Methods to Solve the Pulse Propagation Equation
We presented the numerical technique to approximately solve the pulse propagation equation. Two efficient methods for this problem, the Split-Step Fourier and the fourth order Runge-Kutta methods are considered. Their high accuracy are shown by comparison with analytical solutions in some particu ...
Propagation Technique for Ultrashort Pulses I: Propagation Equation for Ultrashort Pulses in a Kerr Medium
In this work we investigated propagation of ultrashort laser pulses in dispersive nonlinear media. We derived a general propagation equation of pulses which includes the linear and nonlinear effects to all orders. We studied in the specific case of Kerr media and obtained an ultrashort pulse prop ...