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Few-cycle spatiotemporal optical solitons in waveguide arrays

Abstract : We consider the propagation of Gaussian spatiotemporal wave packets in arrays of parallel optical waveguides, assuming linear and nondispersive coupling between the adjacent guides. The numerical analysis is based on a discrete version of the modified Korteweg–de Vries equation that adequately describes the propagation of ultrashort (few-cycle) spatiotemporal solitons in waveguide arrays. Two kinds of such discrete-continuous localized wave forms, which are discrete solitons in the transverse direction, and few-cycle solitons in the longitudinal one, are put forward, namely breathing solitons and single-humped ones. The conditions of formation of these localized spatiotemporal structures, their time duration and spatial width, as well as their energies, are also investigated.
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https://hal.univ-angers.fr/hal-02564443
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phys_rev_a_95_043839_2017.pdf
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Hervé Leblond, David Kremer, Dumitru Mihalache. Few-cycle spatiotemporal optical solitons in waveguide arrays. Physical Review A, 2017, 95 (4), pp.043839. ⟨10.1103/PhysRevA.95.043839⟩. ⟨hal-02564443⟩

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