Optical wave turbulence and wave condensation in a nonlinear optical experiment

Jason Laurie, Umberto Bortolozzo, Sergey Nazarenko, Stefania Residori

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Abstract

We present theory, numerical simulations and experimental observations of a 1D optical wave system. We show that this system is of a dual cascade type, namely, the energy cascading directly to small scales, and the photons or wave action cascading to large scales. In the optical context the inverse cascade is particularly interesting because it means the condensation of photons. We show that the cascades are induced by a six-wave resonant interaction process described by weak turbulence theory. We show that by starting with weakly nonlinear randomized waves as an initial condition, there exists an inverse cascade of photons towards the lowest wavenumbers. During the cascade nonlinearity becomes strong at low wavenumbers and, due to the focusing nature of the nonlinearity, it leads to modulational instability resulting in the formation of solitons. Further interaction of the solitons among themselves and with incoherent waves leads to the final condensate state dominated by a single strong soliton. In addition, we show the existence of the direct energy cascade numerically and that it agrees with the wave turbulence prediction.
Original languageEnglish
Title of host publicationLocalized states in physics
Subtitle of host publicationsolitons and patterns
EditorsOrazio Descalzi, Marcel G. Clerc, Stefania Residori, Gaetano Assanto
Place of PublicationBerlin (DE)
PublisherSpringer
Pages67-87
Number of pages21
ISBN (Electronic)978-3-642-42272-0
ISBN (Print)978-3-642-16548-1
DOIs
Publication statusPublished - 2010

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cascades
condensation
turbulence
solitary waves
photons
nonlinearity
condensates
interactions
energy
predictions
simulation

Cite this

Laurie, J., Bortolozzo, U., Nazarenko, S., & Residori, S. (2010). Optical wave turbulence and wave condensation in a nonlinear optical experiment. In O. Descalzi, M. G. Clerc, S. Residori, & G. Assanto (Eds.), Localized states in physics: solitons and patterns (pp. 67-87). Berlin (DE): Springer. https://doi.org/10.1007/978-3-642-16549-8_4
Laurie, Jason ; Bortolozzo, Umberto ; Nazarenko, Sergey ; Residori, Stefania. / Optical wave turbulence and wave condensation in a nonlinear optical experiment. Localized states in physics: solitons and patterns. editor / Orazio Descalzi ; Marcel G. Clerc ; Stefania Residori ; Gaetano Assanto. Berlin (DE) : Springer, 2010. pp. 67-87
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abstract = "We present theory, numerical simulations and experimental observations of a 1D optical wave system. We show that this system is of a dual cascade type, namely, the energy cascading directly to small scales, and the photons or wave action cascading to large scales. In the optical context the inverse cascade is particularly interesting because it means the condensation of photons. We show that the cascades are induced by a six-wave resonant interaction process described by weak turbulence theory. We show that by starting with weakly nonlinear randomized waves as an initial condition, there exists an inverse cascade of photons towards the lowest wavenumbers. During the cascade nonlinearity becomes strong at low wavenumbers and, due to the focusing nature of the nonlinearity, it leads to modulational instability resulting in the formation of solitons. Further interaction of the solitons among themselves and with incoherent waves leads to the final condensate state dominated by a single strong soliton. In addition, we show the existence of the direct energy cascade numerically and that it agrees with the wave turbulence prediction.",
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Laurie, J, Bortolozzo, U, Nazarenko, S & Residori, S 2010, Optical wave turbulence and wave condensation in a nonlinear optical experiment. in O Descalzi, MG Clerc, S Residori & G Assanto (eds), Localized states in physics: solitons and patterns. Springer, Berlin (DE), pp. 67-87. https://doi.org/10.1007/978-3-642-16549-8_4

Optical wave turbulence and wave condensation in a nonlinear optical experiment. / Laurie, Jason; Bortolozzo, Umberto; Nazarenko, Sergey; Residori, Stefania.

Localized states in physics: solitons and patterns. ed. / Orazio Descalzi; Marcel G. Clerc; Stefania Residori; Gaetano Assanto. Berlin (DE) : Springer, 2010. p. 67-87.

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

TY - CHAP

T1 - Optical wave turbulence and wave condensation in a nonlinear optical experiment

AU - Laurie, Jason

AU - Bortolozzo, Umberto

AU - Nazarenko, Sergey

AU - Residori, Stefania

PY - 2010

Y1 - 2010

N2 - We present theory, numerical simulations and experimental observations of a 1D optical wave system. We show that this system is of a dual cascade type, namely, the energy cascading directly to small scales, and the photons or wave action cascading to large scales. In the optical context the inverse cascade is particularly interesting because it means the condensation of photons. We show that the cascades are induced by a six-wave resonant interaction process described by weak turbulence theory. We show that by starting with weakly nonlinear randomized waves as an initial condition, there exists an inverse cascade of photons towards the lowest wavenumbers. During the cascade nonlinearity becomes strong at low wavenumbers and, due to the focusing nature of the nonlinearity, it leads to modulational instability resulting in the formation of solitons. Further interaction of the solitons among themselves and with incoherent waves leads to the final condensate state dominated by a single strong soliton. In addition, we show the existence of the direct energy cascade numerically and that it agrees with the wave turbulence prediction.

AB - We present theory, numerical simulations and experimental observations of a 1D optical wave system. We show that this system is of a dual cascade type, namely, the energy cascading directly to small scales, and the photons or wave action cascading to large scales. In the optical context the inverse cascade is particularly interesting because it means the condensation of photons. We show that the cascades are induced by a six-wave resonant interaction process described by weak turbulence theory. We show that by starting with weakly nonlinear randomized waves as an initial condition, there exists an inverse cascade of photons towards the lowest wavenumbers. During the cascade nonlinearity becomes strong at low wavenumbers and, due to the focusing nature of the nonlinearity, it leads to modulational instability resulting in the formation of solitons. Further interaction of the solitons among themselves and with incoherent waves leads to the final condensate state dominated by a single strong soliton. In addition, we show the existence of the direct energy cascade numerically and that it agrees with the wave turbulence prediction.

UR - http://link.springer.com/chapter/10.1007%2F978-3-642-16549-8_4

U2 - 10.1007/978-3-642-16549-8_4

DO - 10.1007/978-3-642-16549-8_4

M3 - Chapter (peer-reviewed)

SN - 978-3-642-16548-1

SP - 67

EP - 87

BT - Localized states in physics

A2 - Descalzi, Orazio

A2 - Clerc, Marcel G.

A2 - Residori, Stefania

A2 - Assanto, Gaetano

PB - Springer

CY - Berlin (DE)

ER -

Laurie J, Bortolozzo U, Nazarenko S, Residori S. Optical wave turbulence and wave condensation in a nonlinear optical experiment. In Descalzi O, Clerc MG, Residori S, Assanto G, editors, Localized states in physics: solitons and patterns. Berlin (DE): Springer. 2010. p. 67-87 https://doi.org/10.1007/978-3-642-16549-8_4