Skip to main content

Hybrid coronagraphic design: Optimization of complex apodizers

Author(s): Carlotti, A; Kasdin, NJ; Vanderbei, Robert J.; Riggs, AJE

To refer to this page use:
Abstract: To spectrally characterize Earth-like planets around nearby stars with a coronagraph, an extreme adaptive optics (ExAO) system is mandatory. The correction of the amplitude and phase aberrations in the wavefront on both sides of the image plane and in sufficiently large bandwidths can be done with two deformable mirrors (DM) in a pupil mapping configuration. While this system is primarily intended to correct for aberrations, it can potentially be used to improve the contrast beyond the nominal value set by the coronagraph; the two DMs can be seen as a complex apodizer. We present solutions to two types of numerical optimization problems. Our first approach consists in maximizing the sum of the real and the imaginary parts of the electric field in the pupil plane, while constraining the intensity of the electric field in chosen regions of the the subsequent image plane to be less than a chosen extremum. The solutions can be translated in term of modulus and phase. The optimal modulus is very close to 1, and the high-contrast is induced by a binary phase shift, which cannot be induced with current deformable mirrors. Our second approach consists in directly optimizing the stroke commands sent to a deformable mirror. Solutions are computed by either solving successive linear optimizations or non-linear optimizations. For a telescope with a 30% central obscuration, a 3λ/D inner working angle and a 10λ/D outer working angle, a 10-6-10-7 is reached after a dozen iterations, and the coronagraph has a 60-80% throughput. Shaped pupils are then computed to lower that contrast down to 10-9-10-10. © 2013 SPIE.
Publication Date: 26-Sep-2013
Citation: Carlotti, A, Kasdin, NJ, Vanderbei, RJ, Riggs, AJE. "Hybrid coronagraphic design: Optimization of complex apodizers" Proceedings of SPIE 8864, Techniques and Instrumentation for Detection of Exoplanets VI, August 25, 2013, San Diego, California, 2013 doi:10.1117/12.2024523
DOI: doi:10.1117/12.2024523
ISSN: 0277-786X
EISSN: 1996-756X
Type of Material: Conference Article
Series/Report no.: Proceedings of SPIE;88641Q (September 26, 2013); doi:10.1117/12.2024523 Text Size: A A A
Journal/Proceeding Title: Techniques and Instrumentation for Detection of Exoplanets VI, August 25, 2013, San Diego, California
Version: This is the publisher’s version of the article (version of record). All rights reserved to the publisher. Please refer to the publisher's site for terms of use.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.