State dependent pseudo-resonances and excess noise
State dependent pseudo-resonances and excess noise
We show that strong response to nonresonant modulations and excess noise are state dependent in generic nonlinear systems; i.e., they affect some output states but are absent from others. This is demonstrated in complex Swift-Hohenberg models relevant to optics, where it is caused by the non-normality of the linearized stability operators around selected output states, even though the cavity modes are orthogonal. In particular, we find the effective parameters that control excess noise and the response to modulations and show cases where these phenomena are enhanced by an order of magnitude.
lasers, swift-hohenberg equation, non-normal operators, sensitivity to noise
123905-[4pp]
Papoff, F.
1c4e9e0a-8210-49b3-86e2-1d0323b21268
D'Alessandro, G.
bad097e1-9506-4b6e-aa56-3e67a526e83b
Oppo, G.Luca
7f3402aa-46e8-463c-913d-06fa39c55832
28 March 2008
Papoff, F.
1c4e9e0a-8210-49b3-86e2-1d0323b21268
D'Alessandro, G.
bad097e1-9506-4b6e-aa56-3e67a526e83b
Oppo, G.Luca
7f3402aa-46e8-463c-913d-06fa39c55832
Papoff, F., D'Alessandro, G. and Oppo, G.Luca
(2008)
State dependent pseudo-resonances and excess noise.
Physical Review Letters, 100 (12), .
(doi:10.1103/PhysRevLett.100.123905).
Abstract
We show that strong response to nonresonant modulations and excess noise are state dependent in generic nonlinear systems; i.e., they affect some output states but are absent from others. This is demonstrated in complex Swift-Hohenberg models relevant to optics, where it is caused by the non-normality of the linearized stability operators around selected output states, even though the cavity modes are orthogonal. In particular, we find the effective parameters that control excess noise and the response to modulations and show cases where these phenomena are enhanced by an order of magnitude.
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Published date: 28 March 2008
Keywords:
lasers, swift-hohenberg equation, non-normal operators, sensitivity to noise
Identifiers
Local EPrints ID: 50796
URI: http://eprints.soton.ac.uk/id/eprint/50796
ISSN: 0031-9007
PURE UUID: 635a0295-d58a-4f12-9fd5-3703d22be838
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Date deposited: 24 Apr 2008
Last modified: 16 Mar 2024 02:48
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Author:
F. Papoff
Author:
G.Luca Oppo
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