Embedded solitons in a three-wave system

AR Champneys; BA Malomed

Embedded solitons in a three-wave system

Research output: Working paper

313 Downloads (Pure)

Abstract

We report a rich spectrum of isolated solitons residing inside (embedded into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of finite-walkoff solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find applications in photonics.

Original language	English
Publication status	Published - 1999

Bibliographical note

Additional information: Preprint of a paper later published by the American Physical Society (2000), Physical Review E, 61 (1), pp.886-890, ISSN 1063-651X

Research Groups and Themes

Engineering Mathematics Research Group

Access to Document

Bcanm 99r8Submitted manuscript, 213 KB
WarningSubmitted manuscript, 176 bytes

http://hdl.handle.net/1983/476

Handle.net

Persistent link

1 Article (Academic Journal)

Embedded solitons in a three-wave system
Champneys, A. & Malomed, B., 2000, In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 61, p. 886 - 890
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Cite this

@techreport{9c809a1353064265aa830a6d9465c3f7,

title = "Embedded solitons in a three-wave system",

abstract = "We report a rich spectrum of isolated solitons residing inside (embedded into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of finite-walkoff solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find applications in photonics.",

author = "AR Champneys and BA Malomed",

note = "Additional information: Preprint of a paper later published by the American Physical Society (2000), Physical Review E, 61 (1), pp.886-890, ISSN 1063-651X ",

year = "1999",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Embedded solitons in a three-wave system

AU - Champneys, AR

AU - Malomed, BA

N1 - Additional information: Preprint of a paper later published by the American Physical Society (2000), Physical Review E, 61 (1), pp.886-890, ISSN 1063-651X

PY - 1999

Y1 - 1999

N2 - We report a rich spectrum of isolated solitons residing inside (embedded into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of finite-walkoff solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find applications in photonics.

AB - We report a rich spectrum of isolated solitons residing inside (embedded into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of finite-walkoff solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find applications in photonics.

M3 - Working paper

BT - Embedded solitons in a three-wave system

ER -

Embedded solitons in a three-wave system

Abstract

Bibliographical note

Research Groups and Themes

Access to Document

Handle.net

Fingerprint

Research output

Embedded solitons in a three-wave system

Cite this