High Resolution Spectroscopy using Fabry Perot Intereferometer Arrays: An Application to Searches for O${}_2$ in Exoplanetary Atmospheres

Abstract

We present a novel implementation for extremely high resolution spectroscopy using custom-designed Fabry Perot Interferometer (FPI) arrays. For a given telescope aperture at the seeing limited case, these arrays can achieve resolutions well in excess of $\mathrm{R}\sim 10^5$ using optical elements orders of magnitude smaller in size than standard echelle spectrographs of similar resolution. We apply this method specifically to the search for molecular oxygen in exoplanetary atmospheres using the ${\mathrm{O}}_2$ A-band at 0.76 $\mu \mathrm{m}$, and show how a FPI array composed of $\sim 10$ etalons with parameters optimized for this science case can record $\mathrm{R}=3-5\cdot 10^5$ spectra covering the full ${\mathrm{O}}_2$ A-band. Using simulated observations of the atmosphere of a transiting nearby Earth-like planet, we show how observations with a FPI array coupled to a long-slit spectrograph can reduce the number of transit observations needed to produce a $3\sigma$ detection of ${\mathrm{O}}_2$ by $\sim 30\%$ compared to observations with a $\mathrm{R}=10^5$ echelle spectrograph. This, in turn, leads to a decrease in an observing program duration of several years. The number of transits needed for a $3\sigma$ detection can be further reduced by increasing the efficiency of FPI arrays using dualons (an etalon with a buried reflective layer), and by coupling the FPI array to a dedicated spectrograph optimized for the ${\mathrm{O}}_2$ A-band.

arXiv commentAccepted for Publication in The Astrophysical Journal

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