Localization of optical pulses in guided wave structures with only fourth order dispersion
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2019
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Inspired by the recent realization of pure-quartic solitons (Blanco-Redondo et al. (2016) [1]), in the present work we study the localization of optical pulses in a similar system, i.e., a silicon photonic crystal air-suspended structure with a hexagonal lattice. The propagation of ultrashort pulses in such a system is well described by a generalized nonlinear Schrödinger (NLS) equation, which in certain conditions works with near-zero group-velocity dispersion and third order dispersion. In this case, the NLS equation has only the fourth order dispersion term. In the present model, we introduce a quasiperiodic linear coefficient that is responsible to induce the localization. The existence of Anderson localization has been confirmed by numerical simulations even when the system presents a small defocusing nonlinearity.
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Anderson localization, Fourth order dispersion, Nonlinear Schrödinger equation, Random potential
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CARDOSO, Wesley B. Localization of optical pulses in guided wave structures with only fourth order dispersion. Physics Letters A, Amsterdam, v. 383, n. 28, e25898, 2019. DOI: 10.1016/j.physleta.2019.125898. Disponível em: https://www.sciencedirect.com/science/article/pii/S037596011930725X. Acesso em: 1 jun.2023.