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Absence of Galilean invariance for pure-quartic solitons

Justin WidjajaInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, AustraliaErekle KobakhidzeInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, AustraliaTiernan R. CartwrightInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, AustraliaJoshua P. LourdesamyInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, AustraliaAntoine F. J. RungeInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, AustraliaTristram J. AlexanderInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, AustraliaC. Martijn de SterkeInstitute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, Sydney, New South Wales 2006, Australia

2021en

ABI

Annotatsiya

Optical temporal solitons, arising from self-phase modulation and negative quadratic (${\ensuremath{\beta}}_{2}$) dispersion, are Galilean invariant, and therefore their properties do not depend on their group velocity. This is no longer true for pure-quartic soliton pulses arising from quartic (${\ensuremath{\beta}}_{4}$) dispersion, for which a change in group velocity necessarily leads to nonzero quadratic and cubic (${\ensuremath{\beta}}_{3}$) dispersion. Analyzing the generalized nonlinear Schr\"odinger equation for such dispersion relations analytically and numerically, we find that pure-quartic solitons are members of a larger family traveling at other speeds. These solitons, which appear to be stable, have a complex phase structure and have an asymmetric spectrum. Our results extend the understanding of solitons arising from high orders of dispersion.

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Identifikatorlar

DOI: 10.1103/physreva.104.043526

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