The ABCD matrix for parabolic reflectors and its application to astigmatism free four-mirror cavities

K. Dupraz (1, 2) , K. Cassou (2, 1) , A. Martens (2, 1) , F. Zomer (2, 1)

1 Dept. Accelerateurs
2 LAL - Laboratoire de l'Accélérateur Linéaire

The ABCD matrix for parabolic reflectors is derived for any incident angles. It is used in numerical studies of four-mirror cavities composed of two flat and two parabolic mirrors. Constraints related to laser beam injection efficiency, optical stability, cavity-mode, beam-waist size and high stacking power are satisfied. A dedicated alignment procedure leading to stigmatic cavity-modes is employed to overcome issues related to the optical alignment of parabolic reflectors.

Mots clés: ABCD matrix; Parabolic mirror; Alignment; Optical cavity; Astigmatism; Simulation

Domaines: Optique [physics.optics]; Instrumentations et Détecteurs [physics.ins-det]

K. Dupraz, K. Cassou, A. Martens, F. Zomer. The ABCD matrix for parabolic reflectors and its application to astigmatism free four-mirror cavities. Optics Communications, 2015, 353, pp.178-183. ⟨10.1016/j.optcom.2015.05.021⟩. ⟨in2p3-01152150⟩