Generalized self-similar propagation and amplification of optical pulses in nonlinear media with high-order normal dispersion
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Open Access
Type
ArticleAuthor/s
Runge, Antoine F.J.Alexander, Tristram J.
Talathi, Harsh P.
Hudson, Darren D.
Blanco Redondo, Andrea
de Sterke, C. Martijn
Abstract
We investigate theoretically and numerically the self-similar propagation of optical pulses in the presence of gain, positive Kerr nonlinearity and positive (i.e. normal) dispersion of even order m. Starting from a modified nonlinear Schr̈odinger equation, separating the evolution ...
See moreWe investigate theoretically and numerically the self-similar propagation of optical pulses in the presence of gain, positive Kerr nonlinearity and positive (i.e. normal) dispersion of even order m. Starting from a modified nonlinear Schr̈odinger equation, separating the evolution of amplitude and phase, we find that the resulting equations simplify considerably in the asymptotic limit. Exact solutions to the resulting equations indicate that the temporal intensity profile follows a 1−T^(m/(m−1)) function with an m-dependent scaling relation, with a T ^(1/(m−1)) chirp, where T is the pulse’s local time. These correspond to a triangle and a step function respectively, as m → ∞. These results are borne out by numerical simulations, though we do observe indications of non-asymptotic behaviour.
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See moreWe investigate theoretically and numerically the self-similar propagation of optical pulses in the presence of gain, positive Kerr nonlinearity and positive (i.e. normal) dispersion of even order m. Starting from a modified nonlinear Schr̈odinger equation, separating the evolution of amplitude and phase, we find that the resulting equations simplify considerably in the asymptotic limit. Exact solutions to the resulting equations indicate that the temporal intensity profile follows a 1−T^(m/(m−1)) function with an m-dependent scaling relation, with a T ^(1/(m−1)) chirp, where T is the pulse’s local time. These correspond to a triangle and a step function respectively, as m → ∞. These results are borne out by numerical simulations, though we do observe indications of non-asymptotic behaviour.
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Date
2021Source title
Physical Review AVolume
104Issue
1Publisher
American Physical SocietyFunding information
ARC DP18010223Licence
Creative Commons Attribution 4.0Rights statement
Antoine F. J. Runge, Tristram J. Alexander, Harsh P. Talathi, Darren D. Hudson, Andrea Blanco-Redondo, and C. Martijn de Sterke Phys. Rev. A 104, 013506 – Published 6 July 2021Faculty/School
Faculty of Science, School of PhysicsShare