# Laboratory Observations and Simulations of Phase Reddening

## TL;DR

This study combines laboratory measurements and ray-tracing simulations to understand phase reddening effects on planetary surfaces, revealing how surface roughness and particle transparency influence spectral changes with viewing geometry.

## Contribution

It demonstrates that surface smoothness causes arch-shaped reddening, while roughness leads to monotonic reddening, highlighting the role of microscopic surface features in spectral variations.

## Key findings

- Arch-shaped reddening occurs on smooth, semi-transparent surfaces.
- Surface roughness causes monotonic reddening and flattening of the disk function.
- Simulations reproduce arch-shaped reddening but not monotonic near-IR reddening.

## Abstract

The visible reflectance spectrum of many solar system bodies changes with changing viewing geometry for reasons not fully understood. It is often observed to redden (increasing spectral slope) with increasing solar phase angle, an effect known as phase reddening. Only once, in an observation of the Martian surface by the Viking 1 lander, was reddening observed up to a certain phase angle with bluing beyond, making the reflectance ratio as a function of phase angle shaped like an arch. However, in laboratory experiments this arch-shape is frequently encountered. To investigate this, we measured the bidirectional reflectance of particulate samples of several common rock types in the 400-1000 nm wavelength range and performed ray-tracing simulations. We confirm the occurrence of the arch for surfaces that are forward scattering, i.e. are composed of semi-transparent particles and are smooth on the scale of the particles, and for which the reflectance increases from the lower to the higher wavelength in the reflectance ratio. The arch shape is reproduced by the simulations, which assume a smooth surface. However, surface roughness on the scale of the particles, such as the Hapke and van Horn (1963) fairy castles that can spontaneously form when sprinkling a fine powder, leads to monotonic reddening. A further consequence of this form of microscopic roughness (being indistinct without the use of a microscope) is a flattening of the disk function at visible wavelengths, i.e. Lommel-Seeliger-type scattering. The experiments further reveal monotonic reddening for reflectance ratios at near-IR wavelengths. The simulations fail to reproduce this particular reddening, and we suspect that it results from roughness on the surface of the particles. Given that the regolith of atmosphereless solar system bodies is composed of small particles, our results indicate that the prevalence of monotonic (...)