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Proceedings Paper

Dissipative parametric modulation instability and pattern formation in nonlinear optical systems
Author(s): A. M. Perego; N. Tarasov; D. V. Churkin; S. K. Turitsyn; K. Staliunas
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Paper Abstract

We present the essential features of the dissipative parametric instability, in the universal complex Ginzburg- Landau equation. Dissipative parametric instability is excited through a parametric modulation of frequency dependent losses in a zig-zag fashion in the spectral domain. Such damping is introduced respectively for spectral components in the +ΔF and in the -ΔF region in alternating fashion, where F can represent wavenumber or temporal frequency depending on the applications. Such a spectral modulation can destabilize the homogeneous stationary solution of the system leading to growth of spectral sidebands and to the consequent pattern formation: both stable and unstable patterns in one- and in two-dimensional systems can be excited. The dissipative parametric instability provides an useful and interesting tool for the control of pattern formation in nonlinear optical systems with potentially interesting applications in technological applications, like the design of mode- locked lasers emitting pulse trains with tunable repetition rate; but it could also find realizations in nanophotonics circuits or in dissipative polaritonic Bose-Einstein condensates.

Paper Details

Date Published: 27 April 2016
PDF: 6 pages
Proc. SPIE 9894, Nonlinear Optics and its Applications IV, 98940A (27 April 2016); doi: 10.1117/12.2225595
Show Author Affiliations
A. M. Perego, Aston Univ. (United Kingdom)
Univ. Politècnica de Catalunya (Spain)
N. Tarasov, Aston Univ. (United Kingdom)
Institute of Computational Technologies (Russian Federation)
D. V. Churkin, Aston Univ. (United Kingdom)
Institute of Computational Technologies (Russian Federation)
Novosibirsk State Univ. (Russian Federation)
S. K. Turitsyn, Aston Univ. (United Kingdom)
Novosibirsk State Univ. (Russian Federation)
K. Staliunas, Univ. Politècnica de Catalunya (Spain)
Institució Catalana de Recerca i Estudis Avançats (Spain)


Published in SPIE Proceedings Vol. 9894:
Nonlinear Optics and its Applications IV
Benjamin J. Eggleton; Neil G. R. Broderick; Alexander L. Gaeta, Editor(s)

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