Abstract

A model of the dynamics of a single-longitudinal-mode unidirectional ring laser with a homogeneously broadened medium is proposed. The model includes the transverse variation of the field and of the material parameters and is based on a treatment of the round-trip propagation of a beam in a nonlinear medium rather than on an expansion in terms of the empty-cavity modes. In particular, the case of adiabatically eliminated polarization and inversion is studied. A three-dimensional point mapping is obtained and analyzed. It is shown that this model describes stationary regimes with mode deformation and spatiotemporal (quasi-periodic or periodic) oscillations of both the beam parameters (beam radius and phase-front curvature) and the intensity on the axis.

© 1990 Optical Society of America

Instabilities and spatial complexity in a laser

L. A. Lugiato, G. L. Oppo, J. R. Tredicce, L. M. Narducci, and M. A. Pernigo
J. Opt. Soc. Am. B 7(6) 1019-1033 (1990)

Dynamics in the transverse section of the CO₂ laser

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Time-dependent behavior of a unidirectional ring laser within homogeneous broadening

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J. Opt. Soc. Am. B 2(1) 56-61 (1985)