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Gradient catastrophe of nonlinear photonic valley-Hall edge pulses

Smirnova Daria, Smirnov Lev, Smolina Ekaterina O., Angelakis Dimitrios, Leykam Daniel

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URIhttp://purl.tuc.gr/dl/dias/E9EF9A8E-437E-4E99-B4A2-E8028F5DC469-
Identifierhttps://doi.org/10.1103/PhysRevResearch.3.043027-
Identifierhttps://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.043027-
Languageen-
Extent12 pagesen
TitleGradient catastrophe of nonlinear photonic valley-Hall edge pulsesen
CreatorSmirnova Dariaen
CreatorSmirnov Leven
CreatorSmolina Ekaterina O.en
CreatorAngelakis Dimitriosen
CreatorΑγγελακης Δημητριοςel
CreatorLeykam Danielen
PublisherAmerican Physical Societyen
Content SummaryWe derive nonlinear wave equations describing the propagation of slowly varying wave packets formed by topological valley-Hall edge states. We show that edge pulses break up even in the absence of spatial dispersion due to nonlinear self-steepening. Self-steepening leads to the previously unattended effect of a gradient catastrophe, which develops in a finite time determined by the ratio between the pulse's nonlinear frequency shift and the size of the topological band gap. Taking the weak spatial dispersion into account results in the formation of stable edge quasisolitons. Our findings are generic to systems governed by Dirac-like Hamiltonians and validated by numerical modeling of pulse propagation along a valley-Hall domain wall in staggered honeycomb waveguide lattices with Kerr nonlinearity.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2023-04-06-
Date of Publication2021-
SubjectNonlinear opticsen
SubjectPhotorefractive & Kerr effectsen
SubjectTopological effects in photonic systemsen
SubjectWaveguide arraysen
Bibliographic CitationD. A. Smirnova, L. A. Smirnov, E. O. Smolina, D. G. Angelakis and D. Leykam, “Gradient catastrophe of nonlinear photonic valley-Hall edge pulses,” Phys. Rev. Res., vol. 3, no. 4, Oct. 2021, doi: 10.1103/physrevresearch.3.043027.en

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