Exotic patterns by the interplay of pattern formation and optical bistability

T. Ackemann, Yu A. Logvin, A. Heuer, W. Lange

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

A circularly polarized enlarged beam with a cw dye laser traverses a sodium cell and is fed back by a plane mirror. Magnetization is created in the sodium ground state and brings about a nonlinearity in the system. In a suitably chosen, oblique external magnetic field the homogeneous solution shows a nonlinear resonance-like behavior. A linear stability analysis reveals that in wide parameter regimes both the low and high transmission branches are unstable against transverse perturbations. A weakly nonlinear analysis to second order predicts the appearance of negative hexagons on the high transmission branch and positive hexagons on the low transmission branch. Flower-like and star-shaped patterns were also observed in this region.

Conference

ConferenceProceedings of the 1996 European Quantum Electronics Conference, EQEC'96
CityHamburg, Ger
Period8/09/9613/09/96

Fingerprint

optical bistability
hexagons
sodium
dye lasers
nonlinearity
mirrors
stars
perturbation
magnetization
ground state
cells
magnetic fields

Keywords

  • solitons
  • cavity solitons
  • solitary waves
  • amplitude modulation
  • computer simulation
  • dynamics
  • electron energy levels
  • laser beams
  • light transmission
  • magnetic field effects
  • optical bistability

Cite this

Ackemann, T., Logvin, Y. A., Heuer, A., & Lange, W. (1996). Exotic patterns by the interplay of pattern formation and optical bistability. Paper presented at Proceedings of the 1996 European Quantum Electronics Conference, EQEC'96, Hamburg, Ger, .
Ackemann, T. ; Logvin, Yu A. ; Heuer, A. ; Lange, W. / Exotic patterns by the interplay of pattern formation and optical bistability. Paper presented at Proceedings of the 1996 European Quantum Electronics Conference, EQEC'96, Hamburg, Ger, .1 p.
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title = "Exotic patterns by the interplay of pattern formation and optical bistability",
abstract = "A circularly polarized enlarged beam with a cw dye laser traverses a sodium cell and is fed back by a plane mirror. Magnetization is created in the sodium ground state and brings about a nonlinearity in the system. In a suitably chosen, oblique external magnetic field the homogeneous solution shows a nonlinear resonance-like behavior. A linear stability analysis reveals that in wide parameter regimes both the low and high transmission branches are unstable against transverse perturbations. A weakly nonlinear analysis to second order predicts the appearance of negative hexagons on the high transmission branch and positive hexagons on the low transmission branch. Flower-like and star-shaped patterns were also observed in this region.",
keywords = "solitons, cavity solitons, solitary waves, amplitude modulation, computer simulation, dynamics, electron energy levels, laser beams, light transmission, magnetic field effects, optical bistability",
author = "T. Ackemann and Logvin, {Yu A.} and A. Heuer and W. Lange",
year = "1996",
month = "1",
day = "1",
language = "English",
note = "Proceedings of the 1996 European Quantum Electronics Conference, EQEC'96 ; Conference date: 08-09-1996 Through 13-09-1996",

}

Ackemann, T, Logvin, YA, Heuer, A & Lange, W 1996, 'Exotic patterns by the interplay of pattern formation and optical bistability' Paper presented at Proceedings of the 1996 European Quantum Electronics Conference, EQEC'96, Hamburg, Ger, 8/09/96 - 13/09/96, .

Exotic patterns by the interplay of pattern formation and optical bistability. / Ackemann, T.; Logvin, Yu A.; Heuer, A.; Lange, W.

1996. Paper presented at Proceedings of the 1996 European Quantum Electronics Conference, EQEC'96, Hamburg, Ger, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Exotic patterns by the interplay of pattern formation and optical bistability

AU - Ackemann, T.

AU - Logvin, Yu A.

AU - Heuer, A.

AU - Lange, W.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - A circularly polarized enlarged beam with a cw dye laser traverses a sodium cell and is fed back by a plane mirror. Magnetization is created in the sodium ground state and brings about a nonlinearity in the system. In a suitably chosen, oblique external magnetic field the homogeneous solution shows a nonlinear resonance-like behavior. A linear stability analysis reveals that in wide parameter regimes both the low and high transmission branches are unstable against transverse perturbations. A weakly nonlinear analysis to second order predicts the appearance of negative hexagons on the high transmission branch and positive hexagons on the low transmission branch. Flower-like and star-shaped patterns were also observed in this region.

AB - A circularly polarized enlarged beam with a cw dye laser traverses a sodium cell and is fed back by a plane mirror. Magnetization is created in the sodium ground state and brings about a nonlinearity in the system. In a suitably chosen, oblique external magnetic field the homogeneous solution shows a nonlinear resonance-like behavior. A linear stability analysis reveals that in wide parameter regimes both the low and high transmission branches are unstable against transverse perturbations. A weakly nonlinear analysis to second order predicts the appearance of negative hexagons on the high transmission branch and positive hexagons on the low transmission branch. Flower-like and star-shaped patterns were also observed in this region.

KW - solitons

KW - cavity solitons

KW - solitary waves

KW - amplitude modulation

KW - computer simulation

KW - dynamics

KW - electron energy levels

KW - laser beams

KW - light transmission

KW - magnetic field effects

KW - optical bistability

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M3 - Paper

ER -

Ackemann T, Logvin YA, Heuer A, Lange W. Exotic patterns by the interplay of pattern formation and optical bistability. 1996. Paper presented at Proceedings of the 1996 European Quantum Electronics Conference, EQEC'96, Hamburg, Ger, .