A novel photonic quasi-crystal fiber for transmission of orbital angular momentum modes

Liu, Qiang; Lu, Wenshu; Sun, Yichuang; Lv, Jingwei; Liu, Wei; Liu, Chao; Tai, Shengnan; Li, Binwen; Zhao, Jing; Jiang, Yu-Wei; Sun, Tao; Chu, Paul K.

doi:10.1016/j.ijleo.2021.168446

Cited by 6 publications

(1 citation statement)

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“…Parabolic refractive index profiles are usually obtained by doping glasses with semiconductor additives [87,88]. The most common structures are gradient cores with quartz doped with germanium or GeO 2 [89][90][91].…”

Section: Discussionmentioning

confidence: 99%

Nonlinear localized states near the interface with nonlinear response between the medium with a parabolic index spatial profile and Kerr-type medium

Savotchenko

2024

Phys. Scr.

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The interface with nonlinear response separating the parabolic graded-index and the Kerr nonlinear media are considered. Exact solutions to the nonlinear Schrödinger equation with nonlinear short-range potential and a parabolic spatial profile are found applying to the theoretical description of the stationary states localized near interface with nonlinear properties. Localized states with continuous/discrete energy spectrum are described by the Whittaker function / Hermite polynomials in the medium with a parabolic profile of characteristic and the hyperbolic cosine (sine) in the medium with a self-focusing/defocusing Kerr nonlinearity. The field localization length is wider in the case of a self-focusing nonlinearity than in the case of a defocusing one. The maximum of the wave function is located in a nonlinear medium in the case of a self-focusing nonlinearity and at the interface in the case of a defocusing one. It is shown the possibility of a motion closer to the interface (or away from it) the maximum intensity of the localized state by changing the values of the interface response parameters at the fixed localization energy. A growth of the width of the parabolic graded-index layer adduced an increase in the maximum height of localized states of discrete spectrum and theirs localization length in the graded-index layer, but it had almost no effect on the profile of localized states of the continuous spectrum.

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