Multistability and hysteresis of standing waves in a periodic structure

W.A.C. Strijbosch; T.P. Valkering; S.A. van Gils

doi:10.1007/978-94-015-1267-1_34

Multistability and hysteresis of standing waves in a periodic structure

W.A.C. Strijbosch, T.P. Valkering, S.A. van Gils

Computational Materials Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

Abstract

An experimental set-up is presented to create standing nonlinear continuous waves in a Kerr wave guide with a periodic structure. The frequency of the wave is in the band gap of the system. Control parameters are the intensity of the source at one side of the structure, and the phase difference between the forward and backward moving components of the standing wave at the other side. For a simplified system, a bilayer grating, it is shown that multi-valuedness of the solutions occurs with respect to these two control parameters. To obtain these results, analytical and numerical methods are used to describe the spatial ‘dynamics’ of the nonlinear transfer map of one unit of the grating. Among other things, it is demonstrated that effects of chaotic dynamics can be visible in realistic systems.

Original language	English
Title of host publication	Nonlinear Optics for the Information Society
Subtitle of host publication	Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000
Editors	A. Driessen
Publisher	Springer
Pages	163-178
Number of pages	16
ISBN (Electronic)	978-94-015-1267-1
ISBN (Print)	978-90-481-5876-8
DOIs	https://doi.org/10.1007/978-94-015-1267-1_34
Publication status	Published - 26 Oct 2001
Event	Third Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS) - University of Twente, Enschede, Netherlands Duration: 26 Oct 2000 → 27 Oct 2000 Conference number: 3

Workshop

Workshop	Third Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS)
Abbreviated title	NOIS
Country/Territory	Netherlands
City	Enschede
Period	26/10/00 → 27/10/00

Keywords

METIS-201809

Access to Document

10.1007/978-94-015-1267-1_34

Cite this

Strijbosch, W. A. C., Valkering, T. P., & van Gils, S. A. (2001). Multistability and hysteresis of standing waves in a periodic structure. In A. Driessen (Ed.), Nonlinear Optics for the Information Society: Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000 (pp. 163-178). Springer. https://doi.org/10.1007/978-94-015-1267-1_34

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title = "Multistability and hysteresis of standing waves in a periodic structure",

abstract = "An experimental set-up is presented to create standing nonlinear continuous waves in a Kerr wave guide with a periodic structure. The frequency of the wave is in the band gap of the system. Control parameters are the intensity of the source at one side of the structure, and the phase difference between the forward and backward moving components of the standing wave at the other side. For a simplified system, a bilayer grating, it is shown that multi-valuedness of the solutions occurs with respect to these two control parameters. To obtain these results, analytical and numerical methods are used to describe the spatial {\textquoteleft}dynamics{\textquoteright} of the nonlinear transfer map of one unit of the grating. Among other things, it is demonstrated that effects of chaotic dynamics can be visible in realistic systems.",

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author = "W.A.C. Strijbosch and T.P. Valkering and {van Gils}, S.A.",

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note = "Third Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS), NOIS ; Conference date: 26-10-2000 Through 27-10-2000",

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Strijbosch, WAC, Valkering, TP & van Gils, SA 2001, Multistability and hysteresis of standing waves in a periodic structure. in A Driessen (ed.), Nonlinear Optics for the Information Society: Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000. Springer, pp. 163-178, Third Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS), Enschede, Netherlands, 26/10/00. https://doi.org/10.1007/978-94-015-1267-1_34

Multistability and hysteresis of standing waves in a periodic structure. / Strijbosch, W.A.C.; Valkering, T.P.; van Gils, S.A.
Nonlinear Optics for the Information Society: Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000. ed. / A. Driessen. Springer, 2001. p. 163-178.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

TY - GEN

T1 - Multistability and hysteresis of standing waves in a periodic structure

AU - Strijbosch, W.A.C.

AU - Valkering, T.P.

AU - van Gils, S.A.

N1 - Conference code: 3

PY - 2001/10/26

Y1 - 2001/10/26

N2 - An experimental set-up is presented to create standing nonlinear continuous waves in a Kerr wave guide with a periodic structure. The frequency of the wave is in the band gap of the system. Control parameters are the intensity of the source at one side of the structure, and the phase difference between the forward and backward moving components of the standing wave at the other side. For a simplified system, a bilayer grating, it is shown that multi-valuedness of the solutions occurs with respect to these two control parameters. To obtain these results, analytical and numerical methods are used to describe the spatial ‘dynamics’ of the nonlinear transfer map of one unit of the grating. Among other things, it is demonstrated that effects of chaotic dynamics can be visible in realistic systems.

AB - An experimental set-up is presented to create standing nonlinear continuous waves in a Kerr wave guide with a periodic structure. The frequency of the wave is in the band gap of the system. Control parameters are the intensity of the source at one side of the structure, and the phase difference between the forward and backward moving components of the standing wave at the other side. For a simplified system, a bilayer grating, it is shown that multi-valuedness of the solutions occurs with respect to these two control parameters. To obtain these results, analytical and numerical methods are used to describe the spatial ‘dynamics’ of the nonlinear transfer map of one unit of the grating. Among other things, it is demonstrated that effects of chaotic dynamics can be visible in realistic systems.

KW - METIS-201809

U2 - 10.1007/978-94-015-1267-1_34

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T2 - Third Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS)

Y2 - 26 October 2000 through 27 October 2000

ER -

Multistability and hysteresis of standing waves in a periodic structure

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