Dissipative parametric modulation instability and pattern formation in nonlinear optical systems

A.M. Perego*, N. Tarasov, D.V. Churkin, S.K. Turitsyn, K. Staliunas

*Corresponding author for this work

Research output: Chapter in Book/Published conference outputConference publication

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.

Original languageEnglish
Title of host publicationNonlinear Optics and its Applications IV
EditorsBenjamin J. Eggleton, Neil G.R. Broderick, Alexander L. Gaeta
Place of PublicationBellingham, WA (US)
PublisherSPIE
Number of pages6
ISBN (Print)978-1-5106-0139-0
DOIs
Publication statusPublished - 27 Apr 2016
EventNonlinear Optics and its Applications IV - Brussels, Belgium
Duration: 4 Apr 20166 Apr 2016

Publication series

NameSPIE Proceedings
PublisherSPIE
Volume9894
ISSN (Print)0277-786X
ISSN (Electronic)2410-9045

Conference

ConferenceNonlinear Optics and its Applications IV
CountryBelgium
CityBrussels
Period4/04/166/04/16

Bibliographical note

-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

Keywords

  • mode-locking
  • nonlinear instabilities
  • pattern formation

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  • Constructing eigenmode excitation spectrum in synthetic photonic lattices using optical heterodyning

    Tikan, A. M., Vatnik, I. D., Churkin, D. V. & Sukhorukov, A. A., 27 Apr 2016, Nonlinear Optics and its Applications IV. Eggleton, B. J., Broderick, N. G. R. & Gaeta, A. L. (eds.). Bellingham, WA (US): SPIE, 6 p. 98941L. (SPIE Proceedings; vol. 9894).

    Research output: Chapter in Book/Published conference outputConference publication

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