A simple approach for the analysis and design of ring cavities for c.w. passively mode-locked dye lasers is suggested. The approach is based on the representation of the intracavity beam as a series of two matched beams, each considered to be formed in a linear cavity configuration. Useful expressions are obtained for the cavity parameters in terms of the intracavity beam properties of interest for two different beam configurations. The expressions can be used for the correct design of ring resonators.
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