Undergrad Angular stability of a Fabry–Pérot cavity

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In designing a two-mirror Fabry–Pérot cavity, a 9.8 cm long cavity with mirrors having a 5 cm radius of curvature is utilized. The user successfully computes parameters using Gaussian beam propagation formulas but seeks guidance on accounting for angular misalignments of the mirrors. An analytical or approximate method for estimating the effects of these misalignments is requested. A suggestion is made to consider employing corner cubes for potential benefits. The discussion emphasizes the need for analytical approaches to stability in optical cavity design.
Malamala
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Hello! I am designing a two-mirror cavity for an experiment. For the properties I need, I ended up using a 9.8 cm long cavity, with the 2 mirrors both having a 5 cm radius of curvature. Using Gaussian beam propagation formulas, I can easily compute most of the parameters I need (e.g., behavior with variation in length). However, I am not sure how to account for angular misalignments of the mirrors with respect to the axis connecting their centers. Is there a way to do this analytically (even approximately)? Even an order of magnitude estimate would be good. Thank you!
 
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