Nonlocal feedback in nonlinear systems

R. Zambrini, F. Papoff

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A shifted or misaligned feedback loop gives rise to a two-point nonlocality that is the spatial analog of a temporal delay. Important consequences of this nonlocal coupling have been found both in diffusive and in diffractive systems, and include convective instabilities, independent tuning of phase and group velocities, as well as amplification, chirping and even splitting of localized perturbations. Analytical predictions about these nonlocal systems as well as their spatio-temporal dynamics are discussed in one and two transverse dimensions and in presence of noise.

LanguageEnglish
Pages235-242
Number of pages8
JournalEuropean Physical Journal D: Atomic, Molecular, Optical and Plasma Physics
Volume58
Issue number2
DOIs
Publication statusPublished - Jun 2010

Fingerprint

nonlinear systems
phase velocity
group velocity
tuning
analogs
perturbation
predictions

Keywords

  • optical parametric oscillators
  • convective instabilities
  • walk-off
  • propagation
  • flow

Cite this

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Nonlocal feedback in nonlinear systems. / Zambrini, R.; Papoff, F.

In: European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, Vol. 58, No. 2, 06.2010, p. 235-242.

Research output: Contribution to journalArticle

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AU - Zambrini, R.

AU - Papoff, F.

PY - 2010/6

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N2 - A shifted or misaligned feedback loop gives rise to a two-point nonlocality that is the spatial analog of a temporal delay. Important consequences of this nonlocal coupling have been found both in diffusive and in diffractive systems, and include convective instabilities, independent tuning of phase and group velocities, as well as amplification, chirping and even splitting of localized perturbations. Analytical predictions about these nonlocal systems as well as their spatio-temporal dynamics are discussed in one and two transverse dimensions and in presence of noise.

AB - A shifted or misaligned feedback loop gives rise to a two-point nonlocality that is the spatial analog of a temporal delay. Important consequences of this nonlocal coupling have been found both in diffusive and in diffractive systems, and include convective instabilities, independent tuning of phase and group velocities, as well as amplification, chirping and even splitting of localized perturbations. Analytical predictions about these nonlocal systems as well as their spatio-temporal dynamics are discussed in one and two transverse dimensions and in presence of noise.

KW - optical parametric oscillators

KW - convective instabilities

KW - walk-off

KW - propagation

KW - flow

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EP - 242

JO - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

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