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Higher-dimensional localized mode families in parity-time-symmetric potentials with competing nonlinearities

Dai, Chao-Qing; Wang, Yan

Description

Both two-dimensional and three-dimensional localized mode families in different parity-time (𝒫𝒯)-symmetric potentials with competing nonlinearities are investigated. We show that localized mode families described by a (2+1)-dimensional nonlinear Schrödinger equation in the extended complex 𝒫𝒯-symmetric Rosen–Morse potential wells are unstable for all parameters due to the residue of gain (loss) in the system from the nonvanishing imaginary part in the extended Rosen–Morse potentials. In the...[Show more]

dc.contributor.authorDai, Chao-Qing
dc.contributor.authorWang, Yan
dc.date.accessioned2016-06-06T02:50:13Z
dc.date.available2016-06-06T02:50:13Z
dc.identifier.issn0740-3224
dc.identifier.urihttp://hdl.handle.net/1885/102010
dc.description.abstractBoth two-dimensional and three-dimensional localized mode families in different parity-time (𝒫𝒯)-symmetric potentials with competing nonlinearities are investigated. We show that localized mode families described by a (2+1)-dimensional nonlinear Schrödinger equation in the extended complex 𝒫𝒯-symmetric Rosen–Morse potential wells are unstable for all parameters due to the residue of gain (loss) in the system from the nonvanishing imaginary part in the extended Rosen–Morse potentials. In the extended hyperbolic Scarf II potentials, spatial localized modes are stable only for the defocusing cubic and focusing quintic nonlinearities. In this case, the gain (loss) should also be small enough for a certain real part of the 𝒫𝒯-symmetric potential; otherwise, localized modes eventually lead to instability. These results have been verified by linear stability analysis from analytical solutions and direct numerical simulation of the governing equation. The phase switch, power, and power-flow density associated with these fundamental localized modes have also been examined. Moreover, the spatial and spatiotemporal localized mode families are presented, and the corresponding stability analysis for these solutions is also carried out.
dc.publisherOptical Society of America
dc.rights© 2014 Optical Society of America
dc.sourceJournal of the Optical Society of America B
dc.titleHigher-dimensional localized mode families in parity-time-symmetric potentials with competing nonlinearities
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume31
dc.date.issued2014
local.identifier.absfor020500
local.identifier.ariespublicationU3488905xPUB4665
local.publisher.urlhttp://www.osa.org/en-us/home/
local.type.statusPublished Version
local.contributor.affiliationDai, Chaoqing, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Department of Theoretical Physics, The Australian National University
local.contributor.affiliationWang, Yan, Shanxi University, China
local.bibliographicCitation.issue10
local.bibliographicCitation.startpage2286
local.bibliographicCitation.lastpage2294
local.identifier.doi10.1364/JOSAB.31.002286
CollectionsANU Research Publications

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