  High-resolution optical imaging methods, such as confocal microscopy and
full-field optical coherence tomography, capture flat optical sections of the
sample. If the sample is curved, the optical field sections through several
sample layers and the view of each layer is reduced. Here we present
curved-field optical coherence tomography, capable of capturing optical
sections of arbitrary curvature. We test the device on a challenging task of
imaging the human cornea in vivo and achieve 10x larger viewing area comparing
to the clinical state-of-the-art. This enables more precise cell and nerve
counts, opening a path to improved diagnosis of corneal and general health
conditions (e.g. diabetes). The method is non-contact, compact and works in a
single-shot, making it readily available for use in optical research and
clinical practice.
