Abstract

Aperture cophasing can increase the resolution of a multi-aperture array while reducing optical system size and accounting for phase errors from hardware misalignments and atmospheric turbulence. Remapping apertures using an anamorphic pupil relay can separate the spatial frequency spectrum of a previously continuous modulation transfer function to facilitate a posteriori piston corrections between apertures [J. Opt. Soc. Am. A 34, A47 (2017) [CrossRef]  ]. This study expands this method from two apertures to six using maximum likelihood estimation to calculate piston phase errors and least squares for tip and tilt. Perturbed test targets were generated for specific turbulence and noise values, providing random realizations of pistons, tips, tilts, and atmospheric phase screens. Results show improved Strehl ratios for corrected images in the presence of noise and atmospheric turbulence.

© 2020 Optical Society of America

Blazed grating pupil remapping and rotational synthesis with computational phase correction for a two-aperture system

Sarah E. Krug and David J. Rabb
J. Opt. Soc. Am. A 38(12) 1866-1874 (2021)

Digital phase correction of a partially coherent sparse aperture system

Sarah E. Krug and David J. Rabb
J. Opt. Soc. Am. A 34(5) A47-A55 (2017)

Phase-error correction in digital holography using single-shot data

Samuel T. Thurman
J. Opt. Soc. Am. A 36(12) D47-D61 (2019)

Piston error correction of sparse aperture systems using the metaheuristic stochastic parallel gradient descent algorithm

Kaiyuan Yang, Zongliang Xie, Haotong Ma, Hongyi Hu, Bo Qi, Jianliang Shi, Qiang Wang, and Wenyi Lv
Appl. Opt. 59(22) 6505-6516 (2020)

Unambiguous phase retrieval as a cophasing sensor for phased array telescopes

Fabien Baron, Isabelle Mocoeur, Frédéric Cassaing, and Laurent M. Mugnier
J. Opt. Soc. Am. A 25(5) 1000-1015 (2008)