Design of off-axis mirrors for the phase-induced amplitude apodization complex mask coronagraph

Eugene Pluzhnik, Olivier Guyon, Ruslan Belikov, Eduardo Bendek

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The phase-induced amplitude apodization complex mask coronagraph (PIAACMC) provides an efficient way to control diffraction propagation effects caused by the central obstruction/segmented mirrors of the telescope. PIAACMC can be optimized in a way that takes into account both chromatic diffraction effects caused by the telescope obstructed aperture and the tip-tilt sensitivity of the coronagraph. As a result, unlike classic phase-induced amplitude apodization (PIAA), the PIAACMC mirror shapes are often slightly asymmetric even for an on-axis configuration and require more care in calculating off-axis shapes when an off-axis configuration is preferred. A method to design off-axis PIAA mirror shapes given an on-axis mirror design is presented. The algorithm is based on geometrical ray tracing and is able to calculate off-axis PIAA mirror shapes for an arbitrary geometry of the input and output beams. The method is demonstrated using the third generation PIAACMC design for WFIRST-AFTA telescope. Geometrical optics design issues related to the off-axis diffraction propagation effects are also discussed.

Original languageEnglish (US)
Article number011018
JournalJournal of Astronomical Telescopes, Instruments, and Systems
Issue number1
StatePublished - Jan 1 2016


  • Exoplanets
  • coronagraphy
  • optical design
  • phase-induced amplitude apodization

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Control and Systems Engineering
  • Instrumentation
  • Astronomy and Astrophysics
  • Mechanical Engineering
  • Space and Planetary Science


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