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The circular and linear magnetic birefringences corresponding to the Faradayand the Cotton-Mouton effects, respectively, have been measured in xenon at$\lambda = 1064$ nm. The experimental setup is based on time dependent magneticfields and a high finesse Fabry-Perot cavity. Our value of the Faraday effectis the first measurement at this wavelength. It is compared to theoreticalpredictions. Our uncertainty of a few percent yields an agreement at betterthan 1$\sigma$ with the computational estimate when relativistic effects aretaken into account. Concerning the Cotton-Mouton effect, our measurement, thesecond ever published at $\lambda = 1064$ nm, agrees at better than $1\sigma$with theoretical predictions. We also compare our error budget with thoseestablished for other experimental published values.

Circular and linear magnetic birefringences in xenon at $\lambda = 1064$ nm