A transmission hologram for slitless spectrophotometry on a convergent telescope beam. Optimisation and characterization
This article details the optimization and the characterization of the hologram described in a companion paper published in 2021, which showed the superiority of a holographic optical element over a periodic grating as a disperser installed in the path of a converging beam on an on-axis detector (unbent spectrograph) for slitless spectroscopy. This hologram now equips the auxiliary telescope (AuxTel) at the Rubin-LSST observatory, a refurbished telescope designed to serve as both an imager and a spectrophotometer for measuring the transparency of the atmosphere as a function of wavelength. We describe in detail the steps and results of optimizing the final optical holographic element installed on the spectrograph, with an emphasis on the equipment and modeling tools used. The goal was to produce a hologram with the best diffraction performance across the entire spectrum covered by the filters of the Rubin-LSST observatory's main telescope. We utilized our technical resources - an optical bench and telescopes for sky measurements - as well as specialized modeling tools, which enabled us to determine the optimal production parameters for the AuxTel hologram after four prototyping phases. We also conducted on-sky checks and measurements using various telescopes. Thanks to this optimization, we have succeeded in achieving a maximum first-order diffraction transmission of $32\%$ with our thin hologram, a value very close to the theoretical maximum possible. This hologram has been in place on AuxTel's spectrograph since February 2021 and has been performing satisfactorily ever since, in conjunction with analysis software adapted to slitless spectroscopy.