Measuring and characterizing the line profile of HARPS with a laser frequency comb

TL;DR

This study uses a laser frequency comb to analyze and correct the 2D spectral line profile variations of HARPS, improving its wavelength calibration precision for detecting Earth-like exoplanets.

Contribution

We introduce a method employing a laser frequency comb to characterize and correct HARPS's line profile variations caused by detector effects, enhancing measurement stability.

Findings

Line profile varies across the detector and with line intensity.

Charge transfer inefficiency affects line position measurements.

Corrective functions reduce profile distortions to photon noise levels.

Abstract

Aims. We study the 2D spectral line profile of HARPS (High Accuracy Radial Velocity Planet Searcher), measuring its variation with position across the detector and with changing line intensity. The characterization of the line profile and its variations are important for achieving the precision of the wavelength scales of 10^{-10} or 3.0 cm/s necessary to detect Earth-twins in the habitable zone around solar-like stars. Methods. We used a laser frequency comb (LFC) with unresolved and unblended lines to probe the instrument line profile. We injected the LFC light (attenuated by various neutral density filters) into both the object and the reference fibres of HARPS, and we studied the variations of the line profiles with the line intensities. We applied moment analysis to measure the line positions, widths, and skewness as well as to characterize the line profile distortions induced by the spectrograph and detectors. Based on this, we established a model to correct for point spread function distortions by tracking the beam profiles in both fibres. Results. We demonstrate that the line profile varies with the position on the detector and as a function of line intensities. This is consistent with a charge transfer inefficiency (CTI) effect on the HARPS detector. The estimate of the line position depends critically on the line profile, and therefore a change in the line amplitude effectively changes the measured position of the lines, affecting the stability of the wavelength scale of the instrument. We deduce and apply the correcting functions to re-calibrate and mitigate this effect, reducing it to a level consistent with photon noise.