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

Universitat Politècnica de Catalunya
Novosibirsk State University
Institució Catalana de Recerca i Estudis Avançats

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

1 Citation (Scopus)

131 Downloads (Pure)

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	Society of Photo-Optical Instrumentation Engineers (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

Access to Document

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
Final published version, 486 KB

http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2519413

Cite this

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). Society of Photo-Optical Instrumentation Engineers (SPIE). https://doi.org/10.1117/12.2225595

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

@inproceedings{1cf53531902042fc9599b6ca474ccc08,

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.",

keywords = "mode-locking, nonlinear instabilities, pattern formation",

author = "A.M. Perego and N. Tarasov and D.V. Churkin and S.K. Turitsyn and K. Staliunas",

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; Nonlinear Optics and its Applications IV ; Conference date: 04-04-2016 Through 06-04-2016",

year = "2016",

month = apr,

day = "27",

doi = "10.1117/12.2225595",

language = "English",

isbn = "978-1-5106-0139-0",

series = "SPIE Proceedings",

publisher = "Society of Photo-Optical Instrumentation Engineers (SPIE)",

editor = "Eggleton, \{Benjamin J.\} and Broderick, \{Neil G.R.\} and Gaeta, \{Alexander L.\}",

booktitle = "Nonlinear Optics and its Applications IV",

address = "United States",

}

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, Society of Photo-Optical Instrumentation Engineers (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): Society of Photo-Optical Instrumentation Engineers (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.

AU - Churkin, D.V.

AU - Turitsyn, S.K.

AU - Staliunas, K.

N1 - -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

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

UR - https://www.scopus.com/pages/publications/84985961187

U2 - 10.1117/12.2225595

DO - 10.1117/12.2225595

M3 - Conference publication

AN - SCOPUS:84985961187

SN - 978-1-5106-0139-0

T3 - SPIE Proceedings

BT - Nonlinear Optics and its Applications IV

A2 - Eggleton, Benjamin J.

A2 - Broderick, Neil G.R.

A2 - Gaeta, Alexander L.

PB - Society of Photo-Optical Instrumentation Engineers (SPIE)

CY - Bellingham, WA (US)

T2 - Nonlinear Optics and its Applications IV

Y2 - 4 April 2016 through 6 April 2016

ER -

Perego AM, Tarasov N, Churkin DV, Turitsyn SK, Staliunas K. Dissipative parametric modulation instability and pattern formation in nonlinear optical systems. In Eggleton BJ, Broderick NGR, Gaeta AL, editors, Nonlinear Optics and its Applications IV. Bellingham, WA (US): Society of Photo-Optical Instrumentation Engineers (SPIE). 2016. 98940A. (SPIE Proceedings). doi: 10.1117/12.2225595

Dissipative parametric modulation instability and pattern formation in nonlinear optical systems

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Constructing eigenmode excitation spectrum in synthetic photonic lattices using optical heterodyning

Cite this