PT-symmetric coupler with χ(2) nonlinearity

Li, K. and Zezyulin, D. A. and Kevrekidis, P. G. and Konotop, V. V. and Abdullaev, Fatkhulla (2013) PT-symmetric coupler with χ(2) nonlinearity. Physical Review A - Atomic, Molecular, and Optical Physics, 88. 053820(1)-053820(11). ISSN 1050-2947

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Abstract

We introduce the notion of a PT -symmetric dimer with a χ(2) nonlinearity. Similarly to the Kerr case, we argue that such a nonlinearity should be accessible in a pair of optical waveguides with quadratic nonlinearity and gain and loss, respectively. An interesting feature of the problem is that because of the two harmonics, there exist in general two distinct gain and loss parameters, different values of which are considered herein. We find a number of traits that appear to be absent in the more standard cubic case. For instance, bifurcations of nonlinear modes from the linear solutions occur in two different ways depending on whether the first- or the second-harmonic amplitude is vanishing in the underlying linear eigenvector. Moreover, a host of interesting bifurcation phenomena appear to occur, including saddle-center and pitchfork bifurcations which our parametric variations elucidate. The existence and stability analysis of the stationary solutions is corroborated by numerical time-evolution simulations exploring the evolution of the different configurations, when unstable.

Item Type:	Article (Journal)
Additional Information:	7021/33038
Uncontrolled Keywords:	physics
Subjects:	Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Prof Fatkhulla Abdullaev
Date Deposited:	04 Dec 2013 10:28
Last Modified:	04 Dec 2013 10:28
URI:	http://irep.iium.edu.my/id/eprint/33038

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