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

## TL;DR

This paper presents a method for maintaining high-contrast imaging in space telescopes by estimating speckle drift using intensity measurements and deformable mirror dithering, improving exoplanet detection accuracy.

## Contribution

It introduces a novel scheme combining an Extended Kalman Filter with Electric Field Conjugation for dark hole maintenance and a post-processing approach for speckle drift and planet intensity estimation.

## Key findings

- Effective speckle drift estimation via intensity measurements.
- Enhanced dark hole stability during long exposures.
- Improved post-processing accuracy for exoplanet signal extraction.

## Abstract

Direct exoplanet imaging via coronagraphy requires maintenance of high contrast in a dark hole for lengthy integration periods. Wavefront errors that change slowly over that time accumulate and cause systematic errors in the star's Point Spread Function (PSF) which limit the achievable signal-to-noise ratio of the planet. In this paper we show that estimating the speckle drift can be achieved via intensity measurements in the dark hole together with dithering of the deformable mirrors to increase phase diversity. A scheme based on an Extended Kalman Filter and Electric Field Conjugation is proposed for maintaining the dark hole during the integration phase. For the post-processing phase, an a posteriori approach is proposed to estimate the realization of the PSF drift process and the intensity of the planet light incoherent with the speckles.