Two laser stability criteria or lasing conditions for cavity geometry based on the standard <i>ABCD</i> matrix analysis and the Bilger and Stedman analysis [Appl. Opt. <b>26,</b> 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 <i>ABCD</i> 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
Bryn E. Currie, Geoffrey E. Stedman, and Robert W. Dunn, "Laser Stability and Beam Steering in a Nonregular Polygonal Cavity," Appl. Opt. 41, 1689-1697 (2002)