Near-focus high-sensitivity wavefront sensing

Abstract

A new method of wavefront sensing that uses a pair of equally defocused images to derive the wavefront aberrations is presented. Unlike in conventional curvature-sensing systems, the sensor works in a near-focus regime where the transport of intensity equation is not valid, and, unlike in phase-diversity methods, a non-iterative algorithm is used to infer the wavefront aberrations. The sensor designs outlined only require a small number of detector pixels: two designs with five and nine pixels per plane are analysed, and the nine-element sensor (NES) is shown to have a competitive measurement sensitivity compared with existing low-order astronomical wavefront sensors. The NES is thus well suited to applications such as adaptive optics for the individual telescopes in an optical interferometer array.