Spectral dynamics of modulation instability described using Akhmediev breather theory

K. Hammani; B. Wetzel; B. Kibler; J. Fatome; C. Finot; G. Millot; N. Akhmediev; J. M. Dudley

doi:10.1364/OL.36.002140

Spectral dynamics of modulation instability described using Akhmediev breather theory

K. Hammani, B. Wetzel, B. Kibler^*, J. Fatome, C. Finot, G. Millot, N. Akhmediev, J. M. Dudley

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

The Akhmediev breather formalism of modulation instability is extended to describe the spectral dynamics of induced multiple sideband generation from a modulated continuous wave field. Exact theoretical results describing the frequency domain evolution are compared with experiments performed using single mode fiber around 1550nm. The spectral theory is shown to reproduce the depletion dynamics of an injected modulated continuous wave pump and to describe the Fermi-Pasta-Ulam recurrence and recovery towards the initial state. Realistic simulations including higher-order dispersion, loss, and Raman scattering are used to identify that the primary physical factors that preclude perfect recurrence are related to imperfect initial conditions.

Original language	English
Pages (from-to)	2140-2142
Number of pages	3
Journal	Optics Letters
Volume	36
Issue number	11
DOIs	https://doi.org/10.1364/OL.36.002140
Publication status	Published - 1 Jun 2011

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abstract = "The Akhmediev breather formalism of modulation instability is extended to describe the spectral dynamics of induced multiple sideband generation from a modulated continuous wave field. Exact theoretical results describing the frequency domain evolution are compared with experiments performed using single mode fiber around 1550nm. The spectral theory is shown to reproduce the depletion dynamics of an injected modulated continuous wave pump and to describe the Fermi-Pasta-Ulam recurrence and recovery towards the initial state. Realistic simulations including higher-order dispersion, loss, and Raman scattering are used to identify that the primary physical factors that preclude perfect recurrence are related to imperfect initial conditions.",

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AU - Hammani, K.

AU - Wetzel, B.

AU - Kibler, B.

AU - Fatome, J.

AU - Finot, C.

AU - Millot, G.

AU - Akhmediev, N.

AU - Dudley, J. M.

PY - 2011/6/1

Y1 - 2011/6/1

N2 - The Akhmediev breather formalism of modulation instability is extended to describe the spectral dynamics of induced multiple sideband generation from a modulated continuous wave field. Exact theoretical results describing the frequency domain evolution are compared with experiments performed using single mode fiber around 1550nm. The spectral theory is shown to reproduce the depletion dynamics of an injected modulated continuous wave pump and to describe the Fermi-Pasta-Ulam recurrence and recovery towards the initial state. Realistic simulations including higher-order dispersion, loss, and Raman scattering are used to identify that the primary physical factors that preclude perfect recurrence are related to imperfect initial conditions.

AB - The Akhmediev breather formalism of modulation instability is extended to describe the spectral dynamics of induced multiple sideband generation from a modulated continuous wave field. Exact theoretical results describing the frequency domain evolution are compared with experiments performed using single mode fiber around 1550nm. The spectral theory is shown to reproduce the depletion dynamics of an injected modulated continuous wave pump and to describe the Fermi-Pasta-Ulam recurrence and recovery towards the initial state. Realistic simulations including higher-order dispersion, loss, and Raman scattering are used to identify that the primary physical factors that preclude perfect recurrence are related to imperfect initial conditions.

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VL - 36

SP - 2140

EP - 2142

JO - Optics Letters

JF - Optics Letters

IS - 11

ER -

Spectral dynamics of modulation instability described using Akhmediev breather theory

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