# Optical Paths Lengths Through a Wedged Optic at Non-normal Incidence: The aLIGO Mode Cleaner

Document #:
LIGO-T1100030-v1
Document type:
T - Technical notes
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Abstract:
This document provides a review of the geometry of thick, wedged, optics, using the aLIGO Mode Cleaner as an example. We obtain the optical path length between the AR surface and HR surface of MC1 (and MC3) to be $$\ell_{ef\!f} = 0.12259$$ m as the carrier beam enters (exits) the mode cleaner from ISM2 (on its way to SM1).
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