Optimal pupil apodizations for arbitrary apertures

We present here fully optimized two-dimensional pupil apodizations for which no specific geometric constraints are put on the pupil plane apodization, apart from the shape of the aperture itself. Masks for circular and segmented apertures are displayed, with and without central obstruction and spiders. Examples of optimal masks are shown for Subaru, SPICA and JWST. Several high-contrast regions are considered with different sizes, positions, shapes and contrasts. It is interesting to note that all the masks that result from these optimizations tend to have a binary transmission profile.

[1]  R. Vanderbei,et al.  Fast computation of Lyot-style coronagraph propagation. , 2007, Optics express.

[2]  Takao Nakagawa,et al.  Multi-Color Coronagraph Experiment in a Vacuum Testbed with a Binary Shaped Pupil Mask , 2011 .

[3]  R. Vanderbei LOQO:an interior point code for quadratic programming , 1999 .

[4]  D. Spergel A New Pupil for Detecting Extrasolar Planets , 2001, astro-ph/0101142.

[5]  Robert J. Vanderbei,et al.  Fast Fourier optimization , 2012, Math. Program. Comput..

[6]  R. Vanderbei,et al.  Extrasolar Planet Finding via Optimal Apodized-Pupil and Shaped-Pupil Coronagraphs , 2003 .

[7]  D. C. Black Project Orion: A Design Study of a System for Detecting Extrasolar Planets , 1980 .

[8]  R. Vanderbei,et al.  Spiderweb Masks for High-Contrast Imaging , 2003, astro-ph/0303049.

[9]  Adam Burrows,et al.  Beyond the T Dwarfs: Theoretical Spectra, Colors, and Detectability of the Coolest Brown Dwarfs , 2003, astro-ph/0304226.

[10]  E. Kokubo,et al.  The SPICA coronagraphic instrument (SCI) for the study of exoplanets , 2011, 1108.3157.

[11]  C. Papaliolios,et al.  A New Technique for Terrestrial Planet Finding , 2000 .

[12]  L. Abe,et al.  A Binary Shaped Mask Coronagraph for a Segmented Pupil , 2010, 1108.3152.

[13]  C. Aime,et al.  Total coronagraphic extinction of rectangular apertures using linear prolate apodizations , 2002 .

[14]  R. Vanderbei Fast Fourier optimization Sparsity matters , 2011 .

[15]  R. Vanderbei,et al.  Rectangular-Mask Coronagraphs for High-Contrast Imaging , 2004, astro-ph/0401644.

[16]  Sebastien Morel,et al.  First step to detect an extrasolar planet using simultaneous observations with the VLTI instruments AMBER and MIDI , 2010 .

[17]  R. Soummer Apodized Pupil Lyot Coronagraphs for Arbitrary Telescope Apertures , 2004, astro-ph/0412221.

[18]  D. Slepian Analytic Solution of Two Apodization Problems , 1965 .

[19]  Alexis Carlotti,et al.  Unified coronagraph and wavefront control design , 2011, Optical Engineering + Applications.

[20]  Brian W. Kernighan,et al.  AMPL: A Modeling Language for Mathematical Programming , 1993 .