Bistable systems with noise and delay

D. Curtin; S. P. Hegarty; D. Goulding; J. Houlihan; Th Busch; C. Masoller; G. Huyet

doi:10.1117/12.545491

Bistable systems with noise and delay

D. Curtin, S. P. Hegarty, D. Goulding, J. Houlihan, Th Busch, C. Masoller, G. Huyet

Research output: Contribution to journal › Conference article › peer-review

Abstract

The polarisation dynamics of vertical cavity surface emitting lasers (VCSELs) in the bistable regime is well described by Kramers theory for noise induced transitions. By employing feedback, a memory mechanism can be introduced, which make the dynamics of the system non-Markovian. Here we analyse theoretically and experimentally the residence time distribution of the bistable systems in the presence of noise and time-delayed feedback, using an opto-electronic feedback cycle for a VCSEL. We demonstrate and explain various non-exponential features of the residence time distribution using a continuous as well as a two-state model. Additionally we compare the results to an electronic Schmitt trigger, which represents an experimental realization of the two-state model.

Original language	English
Article number	78
Pages (from-to)	636-644
Number of pages	9
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5452
DOIs	https://doi.org/10.1117/12.545491
Publication status	Published - 2004
Externally published	Yes
Event	Astronomical Structures and Mechanisms Technology - Glasgow, United Kingdom Duration: 21 Jun 2004 → 22 Jun 2004

Keywords

Feedback
Memory
Noise
VCSEL

Access to Document

10.1117/12.545491

Cite this

@article{c3d1ed92eb6449a9bc6a94344b29bb20,

title = "Bistable systems with noise and delay",

abstract = "The polarisation dynamics of vertical cavity surface emitting lasers (VCSELs) in the bistable regime is well described by Kramers theory for noise induced transitions. By employing feedback, a memory mechanism can be introduced, which make the dynamics of the system non-Markovian. Here we analyse theoretically and experimentally the residence time distribution of the bistable systems in the presence of noise and time-delayed feedback, using an opto-electronic feedback cycle for a VCSEL. We demonstrate and explain various non-exponential features of the residence time distribution using a continuous as well as a two-state model. Additionally we compare the results to an electronic Schmitt trigger, which represents an experimental realization of the two-state model.",

keywords = "Feedback, Memory, Noise, VCSEL",

author = "D. Curtin and Hegarty, {S. P.} and D. Goulding and J. Houlihan and Th Busch and C. Masoller and G. Huyet",

year = "2004",

doi = "10.1117/12.545491",

language = "English",

volume = "5452",

pages = "636--644",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

publisher = "SPIE",

note = "Astronomical Structures and Mechanisms Technology ; Conference date: 21-06-2004 Through 22-06-2004",

}

TY - JOUR

T1 - Bistable systems with noise and delay

AU - Curtin, D.

AU - Hegarty, S. P.

AU - Goulding, D.

AU - Houlihan, J.

AU - Busch, Th

AU - Masoller, C.

AU - Huyet, G.

PY - 2004

Y1 - 2004

N2 - The polarisation dynamics of vertical cavity surface emitting lasers (VCSELs) in the bistable regime is well described by Kramers theory for noise induced transitions. By employing feedback, a memory mechanism can be introduced, which make the dynamics of the system non-Markovian. Here we analyse theoretically and experimentally the residence time distribution of the bistable systems in the presence of noise and time-delayed feedback, using an opto-electronic feedback cycle for a VCSEL. We demonstrate and explain various non-exponential features of the residence time distribution using a continuous as well as a two-state model. Additionally we compare the results to an electronic Schmitt trigger, which represents an experimental realization of the two-state model.

AB - The polarisation dynamics of vertical cavity surface emitting lasers (VCSELs) in the bistable regime is well described by Kramers theory for noise induced transitions. By employing feedback, a memory mechanism can be introduced, which make the dynamics of the system non-Markovian. Here we analyse theoretically and experimentally the residence time distribution of the bistable systems in the presence of noise and time-delayed feedback, using an opto-electronic feedback cycle for a VCSEL. We demonstrate and explain various non-exponential features of the residence time distribution using a continuous as well as a two-state model. Additionally we compare the results to an electronic Schmitt trigger, which represents an experimental realization of the two-state model.

KW - Feedback

KW - Memory

KW - Noise

KW - VCSEL

UR - http://www.scopus.com/inward/record.url?scp=12344319399&partnerID=8YFLogxK

U2 - 10.1117/12.545491

DO - 10.1117/12.545491

M3 - Conference article

AN - SCOPUS:12344319399

SN - 0277-786X

VL - 5452

SP - 636

EP - 644

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

M1 - 78

T2 - Astronomical Structures and Mechanisms Technology

Y2 - 21 June 2004 through 22 June 2004

ER -

Bistable systems with noise and delay

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this