Three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear medium

R. Chang; W. J. Firth; R. Indik; J. V. Moloney; E. M. Wright

doi:10.1016/0030-4018(92)90506-M

Three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear medium

R. Chang, W. J. Firth, R. Indik, J. V. Moloney, E. M. Wright

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42 Scopus citations

Abstract

We report our findings from a detailed series of three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear Kerr medium. These simulations show the formation of far field intensity patterns with both radial and hexagonal symmetries in agreement with recent experiments. Moreover, we suggest that the ring patterns which are characteristic of degenerate conical emission are transient phenomena which are always replaced by hexagons for long enough times, at least close to the plane-wave threshold. For misaligned input beams we observe the formation of a stabel point defect, a penta-hepta pair, in the hexagonal pattern.

Original language	English (US)
Pages (from-to)	167-172
Number of pages	6
Journal	Optics Communications
Volume	88
Issue number	2-3
DOIs	https://doi.org/10.1016/0030-4018(92)90506-M
State	Published - Mar 15 1992

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/0030-4018(92)90506-M

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title = "Three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear medium",

abstract = "We report our findings from a detailed series of three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear Kerr medium. These simulations show the formation of far field intensity patterns with both radial and hexagonal symmetries in agreement with recent experiments. Moreover, we suggest that the ring patterns which are characteristic of degenerate conical emission are transient phenomena which are always replaced by hexagons for long enough times, at least close to the plane-wave threshold. For misaligned input beams we observe the formation of a stabel point defect, a penta-hepta pair, in the hexagonal pattern.",

author = "R. Chang and Firth, {W. J.} and R. Indik and Moloney, {J. V.} and Wright, {E. M.}",

note = "Funding Information: The authors wish to thank the Arizona Center for Mathematical Sciences (ACMS) for support. ACMS is sponsored by AFOSR contract FQ8671-9000589 (AFOSR-90-0021 ) with the University Research Initiative Program at the University of Arizona. The work of W.J. Firth is supported in part by SERC Grant no. GR/F49811 and in part under a Twinning contract of the European Community. The authors would like to thank Dr. David R. Heatley for several useful discussions.",

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doi = "10.1016/0030-4018(92)90506-M",

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T1 - Three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear medium

AU - Chang, R.

AU - Firth, W. J.

AU - Indik, R.

AU - Moloney, J. V.

AU - Wright, E. M.

N1 - Funding Information: The authors wish to thank the Arizona Center for Mathematical Sciences (ACMS) for support. ACMS is sponsored by AFOSR contract FQ8671-9000589 (AFOSR-90-0021 ) with the University Research Initiative Program at the University of Arizona. The work of W.J. Firth is supported in part by SERC Grant no. GR/F49811 and in part under a Twinning contract of the European Community. The authors would like to thank Dr. David R. Heatley for several useful discussions.

PY - 1992/3/15

Y1 - 1992/3/15

N2 - We report our findings from a detailed series of three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear Kerr medium. These simulations show the formation of far field intensity patterns with both radial and hexagonal symmetries in agreement with recent experiments. Moreover, we suggest that the ring patterns which are characteristic of degenerate conical emission are transient phenomena which are always replaced by hexagons for long enough times, at least close to the plane-wave threshold. For misaligned input beams we observe the formation of a stabel point defect, a penta-hepta pair, in the hexagonal pattern.

AB - We report our findings from a detailed series of three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear Kerr medium. These simulations show the formation of far field intensity patterns with both radial and hexagonal symmetries in agreement with recent experiments. Moreover, we suggest that the ring patterns which are characteristic of degenerate conical emission are transient phenomena which are always replaced by hexagons for long enough times, at least close to the plane-wave threshold. For misaligned input beams we observe the formation of a stabel point defect, a penta-hepta pair, in the hexagonal pattern.

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JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

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ER -

Three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear medium

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