The next generation of astronomical facilities will be able to retrieve exoplanetary atmospheric spectra in increasing quantity and of increasing quality. Radiative transfer (RT) models of these atmospheres is essential both for interpreting observational data and for linking these data to the planetary physical state with the aid of dedicated climate models. So far, a large effort has been placed in modelling the atmospheres of giant planets, which are the most easily accessible to observations. Now times are ripe to extend these studies to treat the relatively thin atmospheres of terrestrial-type exoplanets, which are the most likely targets for the search of atmospheric biomarkers.
Here we present a procedure to perform radiative transfer calculations for terrestrial-type exoplanets with temperate physical conditions (Simonetti et al. in preparation). The procedure is based on HELIOS and HELIOS-K, which are novel, flexible and publicly available codes developed by the University of Bern (Grimm & Heng, 2015; Malik et al., 2017, 2019; Grimm et al., 2021) as a part of the Exoclime Simulation Platform (ESP) repository. These codes make full use of the computing power of Graphics Processing Units (GPUs, colloquially known as graphics cards) being therefore much faster (up to one order of magnitude, see Grimm et al. 2021) than other similar codes and are integrated with a variety of molecular and atomic line repositories such as HITRAN (Gordon et al., 2017), HITEMP (Rothman et al., 2010) and Kurucz. Until now, HELIOS has been mostly applied to study Jupiter-like planets. The main features of the procedure that we have implemented for the treatment of rocky, habitable planets can be summarized as follows.
First, we added the treatment of the continuum absorption features of a variety of gases, in particular H2O (Clough et al., 1989; Mlawer et al., 2012) and CO2 (Gruszka & Borysow, 1997; Baranov et al., 2004; Baranov, 2018). These continua strongly contribute to the overall opacity of Earth-like atmospheres and cannot be neglected. Second, we paid special attention to the sub-Lorentzian profile of CO2 absorption lines, testing the effects of different recipes (Perrin & Hartmann, 1989; Tonkov et al., 1996). Third, we considered different hypotheses regarding the convective lapse rate of the troposphere. On these basis we: (i) tested the robustness of HELIOS and HELIOS-K against changes in model variables and (ii) compared them with other codes already published and used in the same context (e.g. LBLRTM Clough et al., 2005), as done by Yang et al. (2016).
One of the main goals of this work is to provide a new and fast radiative transfer treatment for the ESTM, an energy balance climate model with upgraded treatment of the vertical and horizontal energy transport Vladilo et al. (2015). The ESTM is extremely flexible and allows for a rapid exploration of the planetary and atmospheric parameter space, providing us the ability to map quantitative indices of habitability on these parameters (Silva et al., 2017). The flexibility of both HELIOS and ESTM will allow us to test a wide variety of atmospheric compositions, which have applications in the study both of exoplanets and of ancient Earth and Mars. Moreover, the HELIOS procedure adapted to terrestrial-type atmospheres can be used to generate synthetic TOA fluxes useful to link the conditions at the planet's surface with quantities that will become observable with future generations of instruments, such as secondary eclipse spectra and direct IR emission spectra from terrestrial-type exoplanets (see e.g. Quanz et al., 2021). Finally, the output of the same procedure can be applied to other codes in the ESP repository, such as the THOR GCM (Mendonca et al., 2016; Deitrick et al., 2020).
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)
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)
Figure 1 shows the TOA albedo obtained for three different stellar spectral classes for different values of surface temperature and stellar zenith angle, for an atmosphere of 1 bar of CO2 and a relative H2O humidity of 100%, as obtained by HELIOS using the procedure presented in Simonetti et al. (in preparation). The surface albedo was set to 0.15.
Figure 2 shows the relation between OLR and surface temperature for different radiative transfer models for an Earth-like atmosphere composed by N2, O2, 360 ppmv of CO2, 1.8 ppmv of CH4 and a temperature-dependent quantity of H2O (relative humidity equal to 100%). The thick red curve labelled "HELIOS" has been obtained with the novel procedure presented in Simonetti et al. (in preparation). The data relative to the other curves have been taken from Yang et al. (2016).
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