2016/09/01 by Benjamin J. S. Pope, Benjamin Pope
Computer Science · Mathematics · Physics and Astronomy · #Adaptive optics and wavefront sensing #Algorithm #Amplitude #Computer science #Digital Holography and Microscopy #Interferometry #Kernel (algebra) #Mathematics #Optical measurement and interference techniques #Optics #Phase (matter) #Physics #Speckle imaging #Speckle pattern #astro-ph.IM
paper · pdf · doi:10.1093/mnras/stw2215
Accepted MNRAS, 10 pages
arxiv created 2016/09/01 · openalex publication_date 2016/09/05 · arxiv updated 2016/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Kernel phase interferometry is an approach to high angular resolution imaging which enhances the performance of speckle imaging with adaptive optics. Kernel phases are self-calibrating observables that generalize the idea of closure phases from non-redundant arrays to telescopes with arbitrarily shaped pupils, by considering a matrix-based approximation to the diffraction problem. In this paper I discuss the recent history of kernel phase, in particular in the matrix-based study of sparse arrays, and propose an analogous generalization of the closure amplitude to kernel amplitudes. This new approach can self-calibrate throughput and scintillation errors in optical imaging, which extends the power of kernel phase-like methods to symmetric targets where amplitude and not phase calibration can be a significant limitation, and will enable further developments in high angular resolution astronomy.