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복잡계 이론물리 연구단
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Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity

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Title
Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity
Author(s)
Muhammad Abdul Wasay
Publication Date
2018-04
Journal
SCIENTIFIC REPORTS, v.8, no.1, pp.5987 -
Publisher
NATURE PUBLISHING GROUP
Abstract
One dimensional lattice with an on-site cubic-quintic nonlinear response described by a cubic-quintic discrete nonlinear Schrödinger equation is tested for asymmetric wave propagation. The lattice is connected to linear side chains. Asymmetry is introduced by breaking the mirror symmetry of the lattice with respect to the center of the nonlinear region. Three cases corresponding to dimer, trimer and quadrimer are discussed with focus on the corresponding diode-like effect. Transmission coefficients are analytically calculated for left and right moving waves via backward transfer map. The different transmission coefficients for the left and right moving waves impinging the lattice give rise to a diode-like effect which is tested for different variations in asymmetry and site dependent coefficients. We show that there is a higher transmission for incoming waves with lower wavenumbers as compared to the waves with comparatively larger wavenumbers and a diode-like effect improves by increasing the nonlinear layers. We also show that in the context of transport through such lattices, the cooperation between cubic and quintic nonlinear response is not additive. Finally, we numerically analyse Gaussian wave packet dynamics impinging on the CQDNLS lattice for all three cases. © 2018 The Author(s)
URI
http://pr.ibs.re.kr/handle/8788114/4569
ISSN
2045-2322
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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