Kernel Phase and Kernel Amplitude in Fizeau Imaging

Abstract

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.

Accepted MNRAS, 10 pages

References in corpus (4)

• Revisiting the radio interferometer measurement equation. I. A full-sky Jones formalism
• A close halo of large transparent grains around extreme red giant stars
• The VAMPIRES instrument: Imaging the innermost regions of protoplanetary disks with polarimetric interferometry
• High dynamic range imaging by pupil single-mode filtering and remapping