Noise-induced switching of photonic logic elements

P. Filipowicz, J. C. Garrison, Pierre Meystre, Ewan M Wright

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We study the stability of optical bistable elements against holding-field noise by considering the specific case of a purely dispersive Kerr medium. For small devices, i.e., those for which the round-trip time is small compared to the material-response time, we show that operation of an optical switch with a holding-field intensity a few percent away from the switching value will not be subject to problems due to the noise in the holding laser. This is due to the extremely rapid increase of the average time between noise-induced switching events as the distance, in intensity, from the switching point increases. White noise or Ornstein-Uhlenbeck noise models are not sufficiently smooth for a correct description of this problem, and so we use a more elaborate colored-noise model to evaluate the diffusion constant in the Fokker-Planck equation for the nonlinear phase shift. The time between switching events is then obtained by solving a first-passage-time problem.

Original languageEnglish (US)
Pages (from-to)1172-1180
Number of pages9
JournalPhysical Review A
Volume35
Issue number3
DOIs
StatePublished - 1987

Fingerprint

logic
photonics
Fokker-Planck equation
white noise
phase shift
switches
lasers

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Noise-induced switching of photonic logic elements. / Filipowicz, P.; Garrison, J. C.; Meystre, Pierre; Wright, Ewan M.

In: Physical Review A, Vol. 35, No. 3, 1987, p. 1172-1180.

Research output: Contribution to journalArticle

Filipowicz, P. ; Garrison, J. C. ; Meystre, Pierre ; Wright, Ewan M. / Noise-induced switching of photonic logic elements. In: Physical Review A. 1987 ; Vol. 35, No. 3. pp. 1172-1180.
@article{7d3cb66848ea430a975a3416466ed291,
title = "Noise-induced switching of photonic logic elements",
abstract = "We study the stability of optical bistable elements against holding-field noise by considering the specific case of a purely dispersive Kerr medium. For small devices, i.e., those for which the round-trip time is small compared to the material-response time, we show that operation of an optical switch with a holding-field intensity a few percent away from the switching value will not be subject to problems due to the noise in the holding laser. This is due to the extremely rapid increase of the average time between noise-induced switching events as the distance, in intensity, from the switching point increases. White noise or Ornstein-Uhlenbeck noise models are not sufficiently smooth for a correct description of this problem, and so we use a more elaborate colored-noise model to evaluate the diffusion constant in the Fokker-Planck equation for the nonlinear phase shift. The time between switching events is then obtained by solving a first-passage-time problem.",
author = "P. Filipowicz and Garrison, {J. C.} and Pierre Meystre and Wright, {Ewan M}",
year = "1987",
doi = "10.1103/PhysRevA.35.1172",
language = "English (US)",
volume = "35",
pages = "1172--1180",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Noise-induced switching of photonic logic elements

AU - Filipowicz, P.

AU - Garrison, J. C.

AU - Meystre, Pierre

AU - Wright, Ewan M

PY - 1987

Y1 - 1987

N2 - We study the stability of optical bistable elements against holding-field noise by considering the specific case of a purely dispersive Kerr medium. For small devices, i.e., those for which the round-trip time is small compared to the material-response time, we show that operation of an optical switch with a holding-field intensity a few percent away from the switching value will not be subject to problems due to the noise in the holding laser. This is due to the extremely rapid increase of the average time between noise-induced switching events as the distance, in intensity, from the switching point increases. White noise or Ornstein-Uhlenbeck noise models are not sufficiently smooth for a correct description of this problem, and so we use a more elaborate colored-noise model to evaluate the diffusion constant in the Fokker-Planck equation for the nonlinear phase shift. The time between switching events is then obtained by solving a first-passage-time problem.

AB - We study the stability of optical bistable elements against holding-field noise by considering the specific case of a purely dispersive Kerr medium. For small devices, i.e., those for which the round-trip time is small compared to the material-response time, we show that operation of an optical switch with a holding-field intensity a few percent away from the switching value will not be subject to problems due to the noise in the holding laser. This is due to the extremely rapid increase of the average time between noise-induced switching events as the distance, in intensity, from the switching point increases. White noise or Ornstein-Uhlenbeck noise models are not sufficiently smooth for a correct description of this problem, and so we use a more elaborate colored-noise model to evaluate the diffusion constant in the Fokker-Planck equation for the nonlinear phase shift. The time between switching events is then obtained by solving a first-passage-time problem.

UR - http://www.scopus.com/inward/record.url?scp=35949009582&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949009582&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.35.1172

DO - 10.1103/PhysRevA.35.1172

M3 - Article

AN - SCOPUS:35949009582

VL - 35

SP - 1172

EP - 1180

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 3

ER -