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

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

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",

number = "12",

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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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UR - https://www.scopus.com/pages/publications/0001708872#tab=citedBy

U2 - 10.1103/PhysRevLett.65.1423

DO - 10.1103/PhysRevLett.65.1423

M3 - Article

AN - SCOPUS:0001708872

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VL - 65

SP - 1423

EP - 1426

JO - Physical review letters

JF - Physical review letters

IS - 12

ER -

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

Abstract

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