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Feasibility of controlling complex dynamics in multi transverse mode lasers

Feasibility of controlling complex dynamics in multi transverse mode lasers
Feasibility of controlling complex dynamics in multi transverse mode lasers
We show that a Periodic Proportional Feedback (PPF) method can be successfully applied to the multi-transverse mode laser. We have simulated the laser by integrating the Maxwell-Bloch equations with the electric field projected onto the empty cavity Gauss-Laguerre modes. By applying the PPF technique to chaotic dynamics of low dimension density, we can control periodic orbits which differ only slightly from the unstable periodic orbits of the system, via modulation of the cavity losses and pump parameters, both for the cylindrically symmetric laser and for the case where the symmetry is removed. Our results show that although various periodic orbits can be controlled temporally, pattern selection (i.e. spatio-temporal control) needs more elaborate techniques.
0030-4018
161-170
Martin, R.
b8a7a9c2-d335-436d-8f57-ef96bb338c84
Kent, A.J.
0584538c-4e29-49a1-b5f3-e33b42a5b497
D'Alessandro, G.
bad097e1-9506-4b6e-aa56-3e67a526e83b
Oppo, G.-L.
2ea5ad15-e5f5-453b-94ad-2a2101b22144
Martin, R.
b8a7a9c2-d335-436d-8f57-ef96bb338c84
Kent, A.J.
0584538c-4e29-49a1-b5f3-e33b42a5b497
D'Alessandro, G.
bad097e1-9506-4b6e-aa56-3e67a526e83b
Oppo, G.-L.
2ea5ad15-e5f5-453b-94ad-2a2101b22144

Martin, R., Kent, A.J., D'Alessandro, G. and Oppo, G.-L. (1996) Feasibility of controlling complex dynamics in multi transverse mode lasers. Optics Communications, 127 (1-3), 161-170. (doi:10.1016/0030-4018(96)00110-1).

Record type: Article

Abstract

We show that a Periodic Proportional Feedback (PPF) method can be successfully applied to the multi-transverse mode laser. We have simulated the laser by integrating the Maxwell-Bloch equations with the electric field projected onto the empty cavity Gauss-Laguerre modes. By applying the PPF technique to chaotic dynamics of low dimension density, we can control periodic orbits which differ only slightly from the unstable periodic orbits of the system, via modulation of the cavity losses and pump parameters, both for the cylindrically symmetric laser and for the case where the symmetry is removed. Our results show that although various periodic orbits can be controlled temporally, pattern selection (i.e. spatio-temporal control) needs more elaborate techniques.

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Published date: 1996

Identifiers

Local EPrints ID: 29295
URI: http://eprints.soton.ac.uk/id/eprint/29295
ISSN: 0030-4018
PURE UUID: f3122595-c7e7-47a4-997c-3b55b4d40ec9
ORCID for G. D'Alessandro: ORCID iD orcid.org/0000-0001-9166-9356

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Date deposited: 22 Dec 2006
Last modified: 16 Mar 2024 02:48

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Contributors

Author: R. Martin
Author: A.J. Kent
Author: G. D'Alessandro ORCID iD
Author: G.-L. Oppo

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