Focal-plane wavefront estimation and control using the extended Kalman filter
Smith CS., Marinica R., Antonello J., Den Dekker AJ., Verhaegen M.
This paper addresses the problem of disturbance rejection for faint Poisson point-like measurements. The aberration function is approximated with a finite Zernike based expansion. We use nonlinear observers to estimate the aberrations and a linear quadratic regulator to reject the aberrations. Kalman filtering is compared with the phase diversity maximum aposteriori estimation. The approach presented here is beneficial for instance for 2-photon observations, single molecule observations or natural/laser guide star observations in astronomy. © 2012 IEEE.