We experimentally study the propagating of an optical intensity jump discontinuity in a nonlocal stochastic Kerr focusing nematic liquid crystal cell. We show both theoretically and experimentally that nonlocality opens a route towards beam steering in our system. Indeed, the discontinuity trajectory follows a curve that bends with the injected power. Despite the stochastic nature of the medium and the constant presence of transverse instabilities, the development of a focusing shocklike dynamics is shown to survive. The distance Z_{s} for the focusing shock to occur follows a power law with the beam power P according to Z_{s}∝P^{χ}, with χ=-4/3, as for shock dynamics in self-defocusing media.
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Cureus
November 2024
Unidade de Neurofisiologia Clínica, Centro Hospitalar Universitário de Lisboa Central, Lisboa, PRT.
Trigeminal neuralgia (TN) stands as a common neuropathic pain disorder. Clinically, it manifests with episodes characterized by unilateral electric shock-like or knife-like pain that can involve one or more divisions of the fifth cranial nerve. Botulinum neurotoxin type A (BoNT-A) is a neurotoxin that has demonstrated analgesic effects in neuropathic pain and positive benefits in the treatment of refractory idiopathic TN.
View Article and Find Full Text PDFClin Neurophysiol Pract
October 2022
Department of Neurology, University of Groningen, University Medical Centre Groningen (UMCG), Groningen, The Netherlands.
Myoclonus and other jerky movements form a large heterogeneous group of disorders. Clinical neurophysiology studies can have an important contribution to support diagnosis but also to gain insight in the pathophysiology of different kind of jerks. This review focuses on myoclonus, tics, startle disorders, restless legs syndrome, and periodic leg movements during sleep.
View Article and Find Full Text PDFPhys Rev E
February 2021
Universite Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
We experimentally study the propagating of an optical intensity jump discontinuity in a nonlocal stochastic Kerr focusing nematic liquid crystal cell. We show both theoretically and experimentally that nonlocality opens a route towards beam steering in our system. Indeed, the discontinuity trajectory follows a curve that bends with the injected power.
View Article and Find Full Text PDFProc Natl Acad Sci U S A
June 2020
Department of Biological and Environmental Engineering, Cornell University, Ithaca, NY 14853;
Many biological surfaces of animals and plants (e.g., bird feathers, insect wings, plant leaves, etc.
View Article and Find Full Text PDFPhys Rev E
February 2019
Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260, USA.
Nonlinear interactions in focusing media between traveling solitons and the dispersive shocks produced by an initial discontinuity are studied using the one-dimensional nonlinear Schrödinger equation. It is shown that, when solitons travel from a region with nonzero background toward a region with zero background, they always pass through the shock structure without generating dispersive radiation. However, their properties (such as amplitude, velocity, and shape) change in the process.
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