Dark Hole Maintenance and A Posteriori Intensity Estimation in the Presence of Speckle Drift in a High-contrast Space Coronagraph

Pogorelyuk, Leonid; Kasdin, N. Jeremy

doi:10.3847/1538-4357/ab0461

Cited by 25 publications

(46 citation statements)

References 32 publications

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“…where · R k and · P k are the matrix weighted norms that balance the importance of the information from current observations and state transitions. The Extended Kalman Filter (EKF) 17,18 directly solves a phase-retrieval-like non-convex inverse problem,…”

Section: Wavefront Sensing and Control Policiesmentioning

confidence: 99%

“…14,15 This approach constructs a linear observation of the light field using pairs of opposite DM probing commands and then formulates the wavefront sensing as a least-squares problem. Building on that architecture, several improved wavefront sensing approaches have also been proposed, such as the Kalman filter method 16 which combines information from previous AO control steps and the extended Kalman filter 17,18 which enables simultaneous incoherent source estimation. These improvements focus only on the formulation of the statistical estimation problem, not the DM probing and image acquisition process itself.…”

Section: Introductionmentioning

confidence: 99%

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Efficient wavefront sensing for space-based adaptive optics

Sun

Kasdin

Vanderbei

2020

J. Astron. Telesc. Instrum. Syst.

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Future large space telescopes will be equipped with adaptive optics (AO) to overcome wavefront aberrations and achieve high contrast for imaging faint astronomical objects, such as earth-like exoplanets and debris disks. In contrast to AO that is widely used in ground telescopes, space-based AO systems will use focal plane wavefront sensing to measure the wavefront aberrations. Focal plane wavefront sensing is a class of techniques that reconstruct the light field based on multiple focal plane images distorted by deformable mirror (DM) probing perturbations. In this paper, we report an efficient focal plane wavefront sensing approach for space-based AO which optimizes the DM probing perturbation and thus also the integration time for each image. Simulation of the AO system equipped with a vortex coronagraph has demonstrated that our new approach enables efficient information acquisition and significantly reduces the time needed for achieving high contrast in space.

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Section: Wavefront Sensing and Control Policiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Efficient wavefront sensing for space-based adaptive optics

Sun

Kasdin

Vanderbei

2020

J. Astron. Telesc. Instrum. Syst.

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“…where ∆E are known modulations intended to increase the observability of the corresponding EKF (for its derivation and more details about the system see [3]).…”

Section: Speckle Drift In High-contrast Imagingmentioning

confidence: 99%

“…The complexity of the Kalman filter (KF) [1] is cubic in the size of the state estimate of the underlying system. It therefore becomes infeasible for large dimensional system such as atmospheric models [2] or when the computational resources are limited as in a space telescopes [3]. time [6].…”

Section: Introductionmentioning

confidence: 99%

An efficient approximation of the Kalman filter for multiple systems coupled via low-dimensional stochastic input

2020

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We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient suboptimal solution. The suggested approach is an approximation of the Kalman filter that discards the off diagonal entries of the correlation matrix in its "update" step. The time complexity associated with propagating this approximate block-diagonal covariance is linear in the number of systems, compared to the cubic complexity of the full Kalman filter. The stability of the proposed block-diagonal filter and its behavior for a large number of systems are analyzed in some simple cases. It is then examined in the context of electric field estimation in a high-contrast space coronagraph, for which it was designed. The numerical simulations provide encouraging results for the cost-efficiency of the newly suggested filter.Various assumptions on the dynamical system have been introduced to reduce the computational load of the KF. Reduced-order filters[4,5] maintain a low-rank covariance matrix which can be efficiently approximated in real Email address: leonidp@princeton.edu (Leonid Pogorelyuk).

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“…(15). In Pogorelyuk & Kasdin (2019), the authors regularized the likelihood using the prior distribution of E OL (t) (with respect to time), which resulted in a maximum a posteriori estimate. The task of finding the estimate in Eq.…”

Section: Estimation Based On Electric Field Order Reductionmentioning

confidence: 99%

Reduced Order Estimation of the Speckle Electric Field History for Space-based Coronagraphs

Pogorelyuk

Kasdin

Rowley

2019

ApJ

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In high-contrast space-based coronagraphs, one of the main limiting factors for imaging the dimmest exoplanets is the time varying nature of the residual starlight (speckles). Modern methods try to differentiate between the intensities of starlight and other sources, but none incorporate models of space-based systems which can take into account actuations of the deformable mirrors. Instead, we propose formulating the estimation problem in terms of the electric field while allowing for dithering of the deformable mirrors. Our reduced-order approach is similar to intensity-based PCA (e.g. KLIP) although, under certain assumptions, it requires a considerably lower number of modes of the electric field. We illustrate this by a FALCO simulation of the WFIRST hybrid Lyot coronagraph. a)

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Dark Hole Maintenance and A Posteriori Intensity Estimation in the Presence of Speckle Drift in a High-contrast Space Coronagraph

Cited by 25 publications

References 32 publications

Efficient wavefront sensing for space-based adaptive optics

Efficient wavefront sensing for space-based adaptive optics

An efficient approximation of the Kalman filter for multiple systems coupled via low-dimensional stochastic input

Reduced Order Estimation of the Speckle Electric Field History for Space-based Coronagraphs

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