Dissipative parametric modulation instability and pattern formation in nonlinear optical systems

Perego, A.M., Tarasov, N., Churkin, D.V., Turitsyn, S.K. and Staliunas, K. (2016). Dissipative parametric modulation instability and pattern formation in nonlinear optical systems. IN: Nonlinear Optics and its Applications IV. Eggleton, Benjamin J.; Broderick, Neil G.R. and Gaeta, Alexander L. (eds) SPIE Proceedings . BEL: SPIE.

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.

Publication DOI: https://doi.org/10.1117/12.2225595
Divisions: Engineering & Applied Sciences > Electrical, Electronic & Power Engineering
Engineering & Applied Sciences
Engineering & Applied Sciences > Aston Institute of Photonics Technology
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: -A.M. Perego; N. Tarasov; D.V. Churkin; S.K. Turitsyn and K. Staliunas; "Dissipative parametric modulation instability and pattern formation in nonlinear optical systems", Proc. SPIE 9894, Nonlinear Optics and its Applications IV, 98940A (April 27, 2016). Copyright 2016. Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic electronic or print reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. DOI: http://dx.doi.org/10.1117/12.2225595
Event Title: Nonlinear Optics and its Applications IV
Event Type: Other
Event Dates: 2016-04-04 - 2016-04-06
Uncontrolled Keywords: mode-locking,nonlinear instabilities,pattern formation,Electronic, Optical and Magnetic Materials,Condensed Matter Physics,Computer Science Applications,Electrical and Electronic Engineering,Applied Mathematics
Full Text Link: http://proceedi ... ticleid=2519413
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2016-04-27
Authors: Perego, A.M.
Tarasov, N. ( 0000-0002-0583-8449)
Churkin, D.V.
Turitsyn, S.K. ( 0000-0003-0101-3834)
Staliunas, K.

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