Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity

N. N. Akhmediev; D. R. Heatley; G. I. Stegeman; E. M. Wright

doi:10.1103/PhysRevLett.65.1423

Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity

N. N. Akhmediev, D. R. Heatley, G. I. Stegeman, E. M. Wright

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39 Scopus citations

Abstract

The modulation instability of a two-dimensional field with a saturable self-focusing nonlinearity is investigated numerically. We show that approximate recurrence to an initial homogeneous field occurs, but oscillation around the exact recurrence is observed. This pseudorecurrence arises only for a restricted range of spatial modulation frequencies.

Original language	English (US)
Pages (from-to)	1423-1426
Number of pages	4
Journal	Physical review letters
Volume	65
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevLett.65.1423
State	Published - 1990

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.65.1423

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title = "Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity",

abstract = "The modulation instability of a two-dimensional field with a saturable self-focusing nonlinearity is investigated numerically. We show that approximate recurrence to an initial homogeneous field occurs, but oscillation around the exact recurrence is observed. This pseudorecurrence arises only for a restricted range of spatial modulation frequencies.",

author = "Akhmediev, {N. N.} and Heatley, {D. R.} and Stegeman, {G. I.} and Wright, {E. M.}",

year = "1990",

doi = "10.1103/PhysRevLett.65.1423",

language = "English (US)",

volume = "65",

pages = "1423--1426",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

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T1 - Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity

AU - Akhmediev, N. N.

AU - Heatley, D. R.

AU - Stegeman, G. I.

AU - Wright, E. M.

PY - 1990

Y1 - 1990

N2 - The modulation instability of a two-dimensional field with a saturable self-focusing nonlinearity is investigated numerically. We show that approximate recurrence to an initial homogeneous field occurs, but oscillation around the exact recurrence is observed. This pseudorecurrence arises only for a restricted range of spatial modulation frequencies.

AB - The modulation instability of a two-dimensional field with a saturable self-focusing nonlinearity is investigated numerically. We show that approximate recurrence to an initial homogeneous field occurs, but oscillation around the exact recurrence is observed. This pseudorecurrence arises only for a restricted range of spatial modulation frequencies.

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U2 - 10.1103/PhysRevLett.65.1423

DO - 10.1103/PhysRevLett.65.1423

M3 - Article

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JF - Physical review letters

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Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity

Abstract

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