Nonlinear multicore waveguiding structures with balanced gain and loss
Author
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Martínez, Alejandro
Author
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Molina Gálvez, Mario
Author
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Turitsyn, Sergei
Author
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Kivshar, Yuri
Admission date
dc.date.accessioned
2015-08-20T02:44:07Z
Available date
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2015-08-20T02:44:07Z
Publication date
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2015
Cita de ítem
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Physical Review A 91, 023822 (2015)
en_US
Identifier
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1050-2947
Identifier
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DOI: 10.1103/PhysRevA.91.023822
Identifier
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https://repositorio.uchile.cl/handle/2250/132946
General note
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Artículo de publicación ISI
en_US
Abstract
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We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially
symmetric multicore waveguides with balanced gain and loss.We demonstrate that, in general, the system can be
reduced to an effective PT -symmetric dimer with asymmetric coupling. In the linear case, we find that there exist
two modes with real propagation constants before an onset of the PT -symmetry breaking while other modes
have always the propagation constants with nonzero imaginary parts. This leads to a stable (unstable) propagation
of the modes when gain is localized in the core (ring) of the waveguiding structure. In the case of nonlinear
response, we show that an interplay between nonlinearity, gain, and loss induces a high degree of instability,
with only small windows in the parameter space where quasistable propagation is observed. We propose a novel
stabilization mechanism based on a periodic modulation of both gain and loss along the propagation direction
that allows bounded light propagation in the multicore waveguiding structures.
en_US
Patrocinador
dc.description.sponsorship
Fondo Nacional de
Ciencia y Tecnología (Grant 1120123), Programa Iniciativa
Científica Milenio (Grant P10-030-F), Programa de Financiamiento
Basal (Grant FB0824) and the Australian Research
Council;
Comisión Nacional de Investigación Científica y Tecnológica
(Fellowship BCH72130485/2013)