Generalized dispersion Kerr solitons
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Type
ArticleAbstract
We report a continuum of pulse-like soliton solutions to the generalized nonlinear Schr ̈odinger equation with both quadratic and quartic dispersion and a Kerr nonlinearity. We show that the well-known nonlinear Schr ̈odinger solitons, which occur in the presence of only negative ...
See moreWe report a continuum of pulse-like soliton solutions to the generalized nonlinear Schr ̈odinger equation with both quadratic and quartic dispersion and a Kerr nonlinearity. We show that the well-known nonlinear Schr ̈odinger solitons, which occur in the presence of only negative (anomalous) quadratic dispersion, and pure-quartic solitons, which occur in the presence of only negative quartic dispersion, are members of a large superfamily, encompassing both. The members of this family, none of which are unstable, have exponentially decaying tails, which can exhibit oscillations. We find new analytic solutions for positive quadratic dispersion and negative quartic dispersion and investigate the soliton dynamics. We also find evidence that a combination of the quadratic and quartic dispersion, rather than exclusively quadratic dispersion, is likely to improve the performance of soliton lasers.
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See moreWe report a continuum of pulse-like soliton solutions to the generalized nonlinear Schr ̈odinger equation with both quadratic and quartic dispersion and a Kerr nonlinearity. We show that the well-known nonlinear Schr ̈odinger solitons, which occur in the presence of only negative (anomalous) quadratic dispersion, and pure-quartic solitons, which occur in the presence of only negative quartic dispersion, are members of a large superfamily, encompassing both. The members of this family, none of which are unstable, have exponentially decaying tails, which can exhibit oscillations. We find new analytic solutions for positive quadratic dispersion and negative quartic dispersion and investigate the soliton dynamics. We also find evidence that a combination of the quadratic and quartic dispersion, rather than exclusively quadratic dispersion, is likely to improve the performance of soliton lasers.
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Date
2020Source title
Physical Review AVolume
101Issue
4Publisher
American Physical SocietyFunding information
ARC DP180102234Licence
Creative Commons Attribution 4.0Rights statement
Kevin K. K. Tam, Tristram J. Alexander, Andrea Blanco-Redondo, and C. Martijn de Sterke, "Generalized dispersion Kerr solitons", 2020, Phys. Rev. A 101, 043822Faculty/School
Faculty of Science, School of PhysicsShare