Geophysical Research Letters Supporting Information for VIS-NIR reflectance of water ice/regolith analogue mixtures and implications for the detectability of ice mixed within planetary regoliths. Zuriñe Yoldi1,*, Antoine Pommerol1, Bernhard Jost1, Olivier Poch1,2, Julien Gouman1 and Nicolas Thomas1 1Physikalisches 2Center Institut, Universität Bern, Bern, Switzerland. for Space and Habitability, Bern, Switzerland. Contents of this file Text S1 to S2 Figures S1 to S2 Introduction This supporting information provides details about our laboratory procedures. S1. Sample Preparation Both fine and coarse-grained ice particles were produced using the SPIPA (Setup for the Preparation of Icy Planetary Analogues) in the LOSSy laboratory at the University of Bern (Pommerol et al., 2011, 2015). Fine-grained ice was produced from ultrapure distilled water using a large ultrasonic nebulizer. The water is nebulized in form of water droplets –ranging from 0.47 to 6 µm-, which are conducted through a plastic pipe inside a freezer. The extremity of this pipe is held a few centimeters above a stainless steel vessel, which is in direct contact with a piece of copper plunging into liquid nitrogen. As the water droplets exit the pipe, they freeze instantaneously on contact with the air at 213K, and then sediment into the vessel. The temperature of the bottom of the vessel is stable around 150K, which limits the thermal metamorphism. Observations of fresh ice particles under a cryo-SEM 1 (scanning electron microscope) reveal the almost perfectly spherical shape of the particles and their smooth surface. Quantitative analyses of cryo-SEM images of the samples lead to the determination of the size distribution of the samples. A mean diameter of 4.54 µm was derived, with a standard deviation of 2.54 µm, regarding the size distribution, and a volume moment mean of 9.45µm. Coarse-grained ice is produced using another type of nebulizer. In this case, the distilled water is held in a spray bottle, connected with a 2 mm diameter tube to the ultrasonic device, placed inside the freezer. The liquid is pumped into the sonotrode and spreads out as a thin film on the nozzle surface. Because of the ultrasonic vibrations, the water film is disintegrated into micro-droplets. Those droplets fall directly into a stainless steel vessel filled with liquid nitrogen and freeze instantly. As for the fine-grained ice, cryo-SEM images were analyzed to derive the size distribution of the particles. The mean diameter is 67µm with a standard deviation of 31µm. The particles are perfectly spherical with smooth surfaces. We have checked using cryo-SEM pictures (Fig. 1), the final diameter of the droplets produced by these nebulizers. With the help of an imaging software we have measured the diameter of the ice particles and computed the average result. S2. Measurements S2.1 Choice of wavelength As explained in the paper, there are two major advantages of working with a 750 nm wavelength: the better SNR of the instrument and the shorter time needed to make the measurements. In order to compare our results with 1064 nm reflectance results, we have studied the reflectance of our two end-members at both wavelengths. In the case of JSC1-AF, its REFF shows almost no difference when measured at both wavelengths (Fig S1). This response is expected for relatively dark samples for which shadow hiding dominates the opposition effect, whereas coherent backscattering which introduces a dependence of the opposition peak with wavelength-, is negligible. Nevertheless, pure water ice shows coherent backscattering. In addition, ice shows an absorption band centered around 1.1µm. Fig S1 shows the increase of absorption at 1064 nm in the case of coarse-grained ice. The mean difference of reflectance between both wavelengths is 15%. Nevertheless, as already stated by Hapke (1993): “the fine particles can have an effect [on the reflectance] all out of proportion to their mass fraction”. We see indeed a significant darkening of the sample with only a few wt% of 2 JSC-1AF in water ice. This means that as soon as JSC-1AF is added into the ice, the effect of coherent backscattering is lowered, and consequently, the wavelength dependence. S2.2 Calibration The standard calibration procedure for the PHIRE-2 instrument is detailed by Pommerol et al., 2011. It consists essentially in a normalization of the raw voltage signal measured with the sample by the raw voltage signal measured with a white Spectralon reference (99% hemispheric reflectance). However, since the installation of a beam splitter head on the instrument to permit BDRF measurements at low and null phase angles, two other steps of calibration are necessary to calibrate reflectance measurement acquired at phase angles lower than 10°; a geometric configuration in which the beam is transmitted/reflected two times through the beam splitter. First, the replacement of the mirror by a beam splitter implies a loss of the energy reaching the detector, by a factor of approximately two (the average beam splitting ratio of the beam splitter, which is slightly wavelength-dependent). The calibration of all data acquired with the beam splitter is performed by comparison with the measurements acquired with the mirror head. This mirror head blocks the incident beam for phase angles lower than 3°. The width of the beam splitter is such that it affects the incident beam for phase angles lower than 5°. This leaves a range of 2° over which the measurements performed with both heads can be compared, allowing us to calibrate the effects of the beam splitter on the measured signal. Second, a small fraction of the incident light that reaches the beam splitter is scattered in all directions and part of it can reach the detector fiber. Although the fraction of the incident light scattered on the optical surface is very minor, the proximity of the beam splitter to the detector fiber result in a non-negligible contribution of this straylight to the measured signal. We characterize the total straylight by acquiring reflectance measurements of a specular neutral density filter in a non-specular geometry. In this configuration, the amount of light reflected by the filter is not measureable and the entire signal consists of straylight. The signal values measured at this step are then substracted from all signal values measured with a sample. Although these two calibration steps should in theory be performed only once, we have observed variations of the calibration constants derived from both steps over time. We were able to link the variation of these calibration constants to the slow deposition of dust on the upper surface of the beam splitter. Therefore, in order to mitigate these 3 effects, calibration constants have been systematically re-measured every day, after the acquisition of the measurements with samples. As explained by Pommerol et al. (2013), the application of the reciprocity principle (i.e. permuting the positions of the light source and the detector should not change the value if reflectance measured) to PHIRE-2 measurements can be used to derive accurate estimates of the measurements relative uncertainties. By performing permutations for a large number of combinations of incidence and emission angle and systematically comparing the results, we derive relative uncertainties of the order of 2%. S2.3 Choice of the Incidence As explained in the article, the PHIRE-2 instrument permits measurements at normal incidence, but measuring at low but non-zero incidence results in more accurate measurements because of the higher mechanical accuracy of the goniometer. Fig. S2 shows both measurements at 0° and 20° incidence angles, indicating that reflectance differences are minor, so that both results can be compared. 4 Figure S1. REFF of JSC1-AF (diamonds) and coarse grained ice (triangles) at 750 (grey) and 1064 (yellow) nm. No REFF differences are found for the basalt, and a mean of 15% of difference is computed for the ice. For 750 nm two measurements have been averaged. For 1064 nm ten measurements have been averaged, and even thought a degraded SNR is observed. Relative errors are estimated to ~2%. 5 Figure S2. REFF for the same sample of JSC-1AF and fine grained ice at 0° (left) and 20° (right) incidence angle at 750 nm. Relative uncertainties of ~2%. 6 Pommerol, A., N. Thomas, M. Affolter, G. Portyankina, B. Jost, K. Seiferlin, and K.M. Aye (2011), Photometry and bulk physical properties of Solar Systemsurfaces icy analogs: The Planetary Ice Laboratory at University of Bern, Planet. Space Sci., 59, 1601–1612, doi:10.1016/j.pss.2011.07.009. Pommerol, A., N. Thomas, B. Jost, P. Beck, C. Okubo, and A. S. McEwen (2013), Photometric properties of Mars soils analogs, J. Geophys. Res.Planets, 118, 2045– 2072, doi:10.1002/jgre.20158. Pommerol, A., B. Jost, O. Poch, M. R. El-Maarry, B. Vuitel, and N. Thomas (2015), The SCITEAS experiment: Optical characterizations of sublimating icy analogues, Planet. Space Sci., 109–110, 106–122, doi:10.1016/j.pss.2015.02.004. 7