Dissipative parametric modulation instability and pattern formation in nonlinear optical systems

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

doi:10.1117/12.2225595

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 output › Conference 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 language	English
Title of host publication	Nonlinear Optics and its Applications IV
Editors	Benjamin J. Eggleton, Neil G.R. Broderick, Alexander L. Gaeta
Place of Publication	Bellingham, WA (US)
Publisher	SPIE
Number of pages	6
ISBN (Print)	978-1-5106-0139-0
DOIs	https://doi.org/10.1117/12.2225595
Publication status	Published - 27 Apr 2016
Event	Nonlinear Optics and its Applications IV - Brussels, Belgium Duration: 4 Apr 2016 → 6 Apr 2016

Publication series

Name	SPIE Proceedings
Publisher	SPIE
Volume	9894
ISSN (Print)	0277-786X
ISSN (Electronic)	2410-9045

Conference

Conference	Nonlinear Optics and its Applications IV
Country/Territory	Belgium
City	Brussels
Period	4/04/16 → 6/04/16

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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10.1117/12.2225595

Dissipative parametric modulation instability and pattern formation
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
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http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2519413

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Perego, A. M., Tarasov, N., Churkin, D. V., Turitsyn, S. K., & Staliunas, K. (2016). Dissipative parametric modulation instability and pattern formation in nonlinear optical systems. In B. J. Eggleton, N. G. R. Broderick, & A. L. Gaeta (Eds.), Nonlinear Optics and its Applications IV Article 98940A (SPIE Proceedings; Vol. 9894). SPIE. https://doi.org/10.1117/12.2225595

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title = "Dissipative parametric modulation instability and pattern formation in nonlinear optical systems",

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.",

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Perego, AM, Tarasov, N, Churkin, DV, Turitsyn, SK & Staliunas, K 2016, Dissipative parametric modulation instability and pattern formation in nonlinear optical systems. in BJ Eggleton, NGR Broderick & AL Gaeta (eds), Nonlinear Optics and its Applications IV., 98940A, SPIE Proceedings, vol. 9894, SPIE, Bellingham, WA (US), Nonlinear Optics and its Applications IV, Brussels, Belgium, 4/04/16. https://doi.org/10.1117/12.2225595

Dissipative parametric modulation instability and pattern formation in nonlinear optical systems. / Perego, A.M.; Tarasov, N.; Churkin, D.V. et al.
Nonlinear Optics and its Applications IV. ed. / Benjamin J. Eggleton; Neil G.R. Broderick; Alexander L. Gaeta. Bellingham, WA (US): SPIE, 2016. 98940A (SPIE Proceedings; Vol. 9894).

Research output: Chapter in Book/Published conference output › Conference publication

TY - GEN

T1 - Dissipative parametric modulation instability and pattern formation in nonlinear optical systems

AU - Perego, A.M.

AU - Tarasov, N.

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AU - Staliunas, K.

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PY - 2016/4/27

Y1 - 2016/4/27

N2 - 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.

AB - 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.

KW - mode-locking

KW - nonlinear instabilities

KW - pattern formation

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DO - 10.1117/12.2225595

M3 - Conference publication

AN - SCOPUS:84985961187

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BT - Nonlinear Optics and its Applications IV

A2 - Eggleton, Benjamin J.

A2 - Broderick, Neil G.R.

A2 - Gaeta, Alexander L.

PB - SPIE

CY - Bellingham, WA (US)

T2 - Nonlinear Optics and its Applications IV

Y2 - 4 April 2016 through 6 April 2016

ER -

Dissipative parametric modulation instability and pattern formation in nonlinear optical systems

Abstract

Publication series

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Bibliographical note

Keywords

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Constructing eigenmode excitation spectrum in synthetic photonic lattices using optical heterodyning

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