Modified deformable mirror stroke minimization control for direct imaging of exoplanets

He Sun, A. J. Eldorado Riggs, N. Jeremy Kasdin, Robert Vanderbei, Tyler Groff

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


For direct imaging of faint exoplanets, coronagraphs are widely used to suppress light and achieve a high contrast. Wavefront correction algorithms based on adaptive optics are introduced simultaneously to mitigate aberrations in the optical system. Stroke minimization is one of the primary control algorithms used for high-contrast wavefront control. This technique calculates the minimum deformation across the deformable mirrors' surface under the constraint that a targeted average contrast level in the search areas, namely the dark holes, is achieved. In this paper we present a modified linear constraint stroke minimization algorithm. Instead of using a single constraint on intensity averaged over all pixels, we constrain the electric field's real and imaginary part of each pixel in the dark holes. The new control algorithm can be written into a linear programming problem. Model reduction methods, including pixel binning and singular value decomposition (SVD), are further employed to avoid over-constraining the problem and to speed up computation. In numerical simulation, we find that the revised algorithm leads to more uniform dark holes and faster convergence.

Original languageEnglish (US)
Title of host publicationSoftware and Cyberinfrastructure for Astronomy IV
EditorsGianluca Chiozzi, Juan C. Guzman
ISBN (Electronic)9781510602052
StatePublished - 2016
EventSoftware and Cyberinfrastructure for Astronomy IV - Edinburgh, United Kingdom
Duration: Jun 26 2016Jun 30 2016

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


OtherSoftware and Cyberinfrastructure for Astronomy IV
Country/TerritoryUnited Kingdom

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


  • Coronagraph
  • Direct imaging
  • Exoplanet
  • Linear programming
  • Model reduction
  • Wavefront correction


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