High-resolution focal-plane wavefront sensing for time-varying aberrations

Phase aberrations in optical systems,which occur in various applications such as astronomy, microscopy and ophthalmology, degrade the quality of obtained images. The exact cause and nature of the aberrations depends on the application. In astronomy, turbulence within the Earth’s atmosphere creates fluctuations of the refractive index, leading to...

Phase retrieval of large-scale time-varying aberrations using a non-linear Kalman filtering framework

This paper presents a computationally efficient framework in which a single focal-plane image is used to obtain a high-resolution reconstruction of dynamic aberrations. Assuming small-phase aberrations, a non-linear Kalman filter implementation is developed whose computational complexity scales close to linearly with the number of pixels of...

Sparse data-driven wavefront prediction for large-scale adaptive optics

This paper presents a computationally efficient wavefront aberration prediction framework for data-driven control in large-scale adaptive optics systems. Our novel prediction algorithm splits prediction into two stages: A highresolution and a low-resolution stage. For the former, we exploit sparsity structures in the system matrices in a data...

Challenges in simulating advanced control methods for AO

This paper discusses various practical problems arising in the design and simulation of predictive control methods for adaptive optics. Although there has been increased attention towards optimal prediction and control methods for AO systems, they are often tested in simplified simulation environments. The use of advanced AO simulators...

Tensor network Kalman filter for LTI systems

An extension of the Tensor Network (TN) Kalman filter [2], [3] for large scale LTI systems is presented in this paper. The TN Kalman filter can handle exponentially large state vectors without constructing them explicitly. In order to have efficient algebraic operations, a low TN rank is required. We exploit the possibility to approximate the...

Predictive wavefront sensorless adaptive optics for time-varying aberrations

A new wavefront sensorless adaptive optics method is presented that can accurately correct for time-varying aberrations using a single focal plane image at each sample instance. The linear relation between the mean square of the aberration gradient and the change in second moment of the image forms the basis of the presented method. The new...

Modal-based phase retrieval using Gaussian radial basis functions

In this paper, we propose the use of Gaussian radial basis functions (GRBFs) to model the generalized pupil function for phase retrieval. The selection of the GRBF hyper-parameters is analyzed to achieve an increased accuracy of approximation. The performance of the GRBF-based method is compared in a simulation study with another modal-based...