Tag Vladimir V. Konotop

Entries 12 Total

Stable dark solitons in PT-symmetric dual-core waveguides

Nov 20, ’12 12:04 AM

Yuliy V. Bludov, Vladimir V. Konotop, Boris A. Malomed

We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realization of parity-time symmetry in nonlinear optics. The main issue is stability of the dark solitons. The modulational stability of the CW (continuous-wave) background, which supports the dark solitons, is studied analytically, and the full stability is investigated in a numerical form, via computation of eigenvalues for modes of small perturbations. Stability regions are thus identified in the parameter space of the system, and verified in direct simulations. Collisions between stable dark solitons are briefly considered too.

http://arxiv.org/abs/1211.3746
Optics (physics.optics); Pattern Formation and Solitons (nlin.PS)

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Giant amplification of modes in PT-symmetric waveguides

Jul 10, ’12 12:22 PM

Vladimir V. Konotop, Valery S. Shchesnovich, Dmitry A. Zezyulin

The combination of the interference with the amplification of modes in a waveguide with gain and losses can result in a giant amplification of the propagating beam, which propagates without distortion of its average amplitude. An increase of the gain-loss gradient by only a few times results in a magnification of the beam by a several orders of magnitude.

http://arxiv.org/abs/1207.1792
Optics (physics.optics)

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