Transverse laser patterns. I. Phase singularity crystals

Brambilla, M., Battipede, F., Lugiato, L. A., Penna, V., Prati, F., Tamm, C. and Weiss, C. O. (1991) Transverse laser patterns. I. Phase singularity crystals. Physical Review A, 43 9: 5090-5113. doi:10.1103/PhysRevA.43.5090


Author Brambilla, M.
Battipede, F.
Lugiato, L. A.
Penna, V.
Prati, F.
Tamm, C.
Weiss, C. O.
Title Transverse laser patterns. I. Phase singularity crystals
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 1991-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.43.5090
Open Access Status Not yet assessed
Volume 43
Issue 9
Start page 5090
End page 5113
Total pages 24
Language eng
Subject 3107 Atomic and Molecular Physics, and Optics
Abstract We analyze the interaction and the competition of a set of transverse cavity modes, which belong to a frequency-degenerate family. The laser turns out to be able to realize several different stationary spatial patterns, which differ in the transverse configuration of the intensity or of the field and are met by varying the values of the control parameters. A striking feature that emerges in almost all steady-state patterns is the presence of dark points, in which both the real and the imaginary part of the electric field vanish and such that, if one covers a closed loop around one of these points, the field phase changes by a multiple of 2, which corresponds to the topological charge of the point. We show in detail the analogy of these phase singularities to the vortex structures well known in such fields as, for example, hydrodynamics, superconductivity, and superfluidity. In our case, at steady state, these singularities are arranged in the form of regular crystals, nd the equiphase lines of the field exhibit a notable similarity to the field lines of the electrostatic field generated by a corresponding set of point charges. We analyze in detail the patterns that emerge in the cases 2p+l=2 and 2p+l=3, where p and l are the radial and angular modal indices, respectively, and we compare the results with the experimental observations obtained from a Na2 laser. The observed patterns agree in detail with those found by theory; in particular, they exhibit the predicted phase singularities in each pattern. The transitions from one pattern to another, that one observes under variation of the control parameters, basically agree with those predicted by theory.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
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Created: Fri, 29 Dec 2017, 06:50:13 EST