Abstract

The cone wavefront sensor consists of a cone (or axicon) placed at the focal plane of the imaging system, from which an annular intensity image is formed. Typically, the wavefront phase is estimated using inversion of an interaction matrix relating the intensity image to different aberration modes. In this paper, we show that the intensity image for the cone wavefront sensor is related to the radon transform of the wavefront phase. A reconstruction method using the inverse radon transform (filtered back-projection) is shown to be able to directly approximate the wavefront phase without the need for an interaction matrix for small wavefront aberrations.

© 2023 Optica Publishing Group

Nonlinear wavefront reconstruction methods for pyramid sensors using Landweber and Landweber–Kaczmarz iterations

Victoria Hutterer and Ronny Ramlau
Appl. Opt. 57(30) 8790-8804 (2018)

Cone-beam reconstruction by the use of Radon transform intermediate functions

R. Clack and M. Defrise
J. Opt. Soc. Am. A 11(2) 580-585 (1994)

Multiscale optimization of the geometric wavefront sensor

Saloni Pal, Richard Clare, Andrew Lambert, and Stephen Weddell
Appl. Opt. 60(25) 7536-7544 (2021)

Nonlinear wavefront reconstruction with convolutional neural networks for Fourier-based wavefront sensors

R. Landman and S. Y. Haffert
Opt. Express 28(11) 16644-16657 (2020)

Fast modal reconstruction of large plane wavefronts from sparse measurements using Shack–Hartmann sensors

Nikolaus Berlakovich, Ernst Csencsics, Damian Senoner, and Georg Schitter
Appl. Opt. 62(26) 6986-6992 (2023)