This article is cited in 2 papers

Laser applications and other topics in quantum electronics

Complex ABCD transformations for optical ring cavities with losses and gain

V. N. Kudashov, A. B. Plachenov, A. M. Radin<sup>a

a</sup> International Academy of Refrigeration, St Petersbur

Abstract: Complex ABCD field transformations are investigated for inhomogeneous optical ring cavities with losses and gain. It is shown that the sets of eigenfunctions, corresponding to counterpropagating waves, are really biorthogonal: the functions in each of these sets are really orthogonal relative to one another, and have a complex weighting factor independent of the mode number. Bidirectional and unidirectional stability conditions are formulated for such cavities. These conditions are qualitatively different from those for loss-free cavities. A simple algorithm is proposed for the evaluation of the ABCD matrix for a medium with an arbitrary longitudinal inhomogeneity along the beam.

PACS: 42.55.Ah, 42.60.Da, 02.10.Sp

Received: 20.11.1998

 English version: Quantum Electronics, 1999, 29:4, 368–373

Bibliographic databases:

•