Thick-medium model of transverse pattern formation in optically excited cold two-level atoms with a feedback mirror

W.J. Firth, I. Kresic, G. Labeyrie, A Camara, T. Ackemann

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study a pattern-forming instability in a laser-driven optically thick cloud of cold two-level atoms with a planar feedback mirror. We develop a theoretical model, enabling a full analysis of transverse patterns in a medium with saturable nonlinearity, taking into account diffraction within the medium, and both the transmission and reflection gratings. The focus of the analysis is on the combined treatment of nonlinear propagation in a diffractively and optically thick medium and the boundary condition given by feedback. We demonstrate explicitly how diffraction within the medium breaks the degeneracy of Talbot modes inherent in thin-slice models. We predict the existence of envelope curves bounding all possible pattern-formation thresholds and illustrate their interaction with threshold curves by experimental observation of a sudden transition between length scales as mirror displacement is varied.
LanguageEnglish
Article number053806
Number of pages15
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume96
Issue number5
DOIs
Publication statusPublished - 3 Nov 2017

Fingerprint

mirrors
atoms
thresholds
curves
diffraction
envelopes
nonlinearity
gratings
boundary conditions
propagation
lasers
interactions

Keywords

  • pattern forming
  • feedback mirror
  • reflection gratings
  • organization of light

Cite this

@article{9268689370e047d1a6862519a3b25f3b,
title = "Thick-medium model of transverse pattern formation in optically excited cold two-level atoms with a feedback mirror",
abstract = "We study a pattern-forming instability in a laser-driven optically thick cloud of cold two-level atoms with a planar feedback mirror. We develop a theoretical model, enabling a full analysis of transverse patterns in a medium with saturable nonlinearity, taking into account diffraction within the medium, and both the transmission and reflection gratings. The focus of the analysis is on the combined treatment of nonlinear propagation in a diffractively and optically thick medium and the boundary condition given by feedback. We demonstrate explicitly how diffraction within the medium breaks the degeneracy of Talbot modes inherent in thin-slice models. We predict the existence of envelope curves bounding all possible pattern-formation thresholds and illustrate their interaction with threshold curves by experimental observation of a sudden transition between length scales as mirror displacement is varied.",
keywords = "pattern forming, feedback mirror, reflection gratings, organization of light",
author = "W.J. Firth and I. Kresic and G. Labeyrie and A Camara and T. Ackemann",
year = "2017",
month = "11",
day = "3",
doi = "10.1103/PhysRevA.96.053806",
language = "English",
volume = "96",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
number = "5",

}

Thick-medium model of transverse pattern formation in optically excited cold two-level atoms with a feedback mirror. / Firth, W.J.; Kresic, I.; Labeyrie, G.; Camara, A; Ackemann, T.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 96, No. 5, 053806, 03.11.2017.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Thick-medium model of transverse pattern formation in optically excited cold two-level atoms with a feedback mirror

AU - Firth, W.J.

AU - Kresic, I.

AU - Labeyrie, G.

AU - Camara, A

AU - Ackemann, T.

PY - 2017/11/3

Y1 - 2017/11/3

N2 - We study a pattern-forming instability in a laser-driven optically thick cloud of cold two-level atoms with a planar feedback mirror. We develop a theoretical model, enabling a full analysis of transverse patterns in a medium with saturable nonlinearity, taking into account diffraction within the medium, and both the transmission and reflection gratings. The focus of the analysis is on the combined treatment of nonlinear propagation in a diffractively and optically thick medium and the boundary condition given by feedback. We demonstrate explicitly how diffraction within the medium breaks the degeneracy of Talbot modes inherent in thin-slice models. We predict the existence of envelope curves bounding all possible pattern-formation thresholds and illustrate their interaction with threshold curves by experimental observation of a sudden transition between length scales as mirror displacement is varied.

AB - We study a pattern-forming instability in a laser-driven optically thick cloud of cold two-level atoms with a planar feedback mirror. We develop a theoretical model, enabling a full analysis of transverse patterns in a medium with saturable nonlinearity, taking into account diffraction within the medium, and both the transmission and reflection gratings. The focus of the analysis is on the combined treatment of nonlinear propagation in a diffractively and optically thick medium and the boundary condition given by feedback. We demonstrate explicitly how diffraction within the medium breaks the degeneracy of Talbot modes inherent in thin-slice models. We predict the existence of envelope curves bounding all possible pattern-formation thresholds and illustrate their interaction with threshold curves by experimental observation of a sudden transition between length scales as mirror displacement is varied.

KW - pattern forming

KW - feedback mirror

KW - reflection gratings

KW - organization of light

UR - https://journals.aps.org/pra/

U2 - 10.1103/PhysRevA.96.053806

DO - 10.1103/PhysRevA.96.053806

M3 - Article

VL - 96

JO - Physical Review A - Atomic, Molecular, and Optical Physics

T2 - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 5

M1 - 053806

ER -