We study the effects of white additive noise on a transverse pattern of the laser formed by the combination of three degenerate transverse modes. In the semiclassical description, the formation of this pattern corresponds to a process of spontaneous breaking of the cylindrical symmetry. The stationary probability distribution is calculated analytically within the adiabatic elimination of the atomic variables and the cubic approximation. Noise induces a slow random rotation of the pattern around the laser axis and a random distortion. The angular rotation is characterized by a diffusive evolution and restores completely the broken symmetry. We study the random motion of the four phase singularities of the pattern. We analyze the transverse process given by the decay of the unstable cylindrically symmetrical configuration and show that it is accompanied by anomalous fluctuations.

Fluctuations in transverse laser patterns

Brambilla, M.;
1991

Abstract

We study the effects of white additive noise on a transverse pattern of the laser formed by the combination of three degenerate transverse modes. In the semiclassical description, the formation of this pattern corresponds to a process of spontaneous breaking of the cylindrical symmetry. The stationary probability distribution is calculated analytically within the adiabatic elimination of the atomic variables and the cubic approximation. Noise induces a slow random rotation of the pattern around the laser axis and a random distortion. The angular rotation is characterized by a diffusive evolution and restores completely the broken symmetry. We study the random motion of the four phase singularities of the pattern. We analyze the transverse process given by the decay of the unstable cylindrically symmetrical configuration and show that it is accompanied by anomalous fluctuations.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/9790
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • Scopus 18
  • ???jsp.display-item.citation.isi??? 12
social impact