The ability to tailor the spectral response of photonic devices is paramount to the
advancement of a broad range of applications. The vast design space
offered by disordered optical media provides enhanced functionality
for spectral tailoring while also making it
challenging to map the spectral properties of such complex systems to
their structural attributes. In this work, we investigate correlations
between the configuration statistics of random metasurfaces and their
spectral transmissivity in the visible, and leverage those to develop
a reduced phase space. In the latter part of the manuscript, we use
this reduced phase space to design a pixelated color filter that hides
visual data within a preselected cover image for steganography.
Furthermore, we design a pair of color filters that can collectively
encrypt a given grayscale image in their spectral transmissivities. We
envision such devices to create opportunities for the development of
compact, next-generation cryptographic systems. More broadly, the
results presented in this manuscript provide new, to the best of our
knowledge, avenues for optimizing large-scale random metasurfaces to
achieve enhanced optical functionalities for a wide variety of
applications.