Abstract

Two laser stability criteria or lasing conditions for cavity geometry based on the standard ABCD matrix analysis and the Bilger and Stedman analysis [Appl. Opt. 26, 3710 (1987)] are reconciled. Beam steering from mirror misalignment is discussed similarly, generalizing the Bilger and Stedman analysis to nonregular polygons by extending the standard ABCD matrix analysis to 3 × 3 matrices, which facilitates the thorough design of large rectangular ring lasers and is applied to a number of existing or planned ring lasers with perimeters of 77–120 m.

© 2002 Optical Society of America

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