Jewel Optics I: non-redundant Fizeau beam combination without the guilt

The enduring technique of aperture masking interferometry, now more than 150 years old, is still widely practised today for it opens a window of high angular resolution astronomy that remains difficult to access by any competing technology. However, the requirement to apodise the pupil into a non-redundant array dramatically limits the throughput, typically to $\sim$10\% or less. This in turn has a dramatic impact on sensitivity, limiting observational reach to only bright science targets. This paper presents "Jewel Optics", a technology that leverages the gains in signal fidelity conferred by non-redundant Fizeau beam combination without the sensitivity penalty incurred by traditional aperture masks. Our approach fragments the pupil into several sets of sparse-array non-redundant patterns, each of which is encoded onto a unique phase wedge. After extensive searching, solutions could be found where all individual sets are fully non-redundant while fully tiling the available area of the input pupil. Each pattern is assigned a common phase wedge which diverts light from those sub-apertures onto a unique, defined region of the detector. We demonstrate a prototype designed for use in the VAMPIRES instrument at the Subaru telescope and find excellent agreement between the design and lab results. We discuss a design refinement for producing fully achromatic Jewel Optics, and finally we highlight the potential for future work with these optical components.