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Title: DESIGN OF PHASE INDUCED AMPLITUDE APODIZATION CORONAGRAPHS OVER SQUARE APERTURES

Abstract

The purpose of this paper is to present the results of a theoretical study pertaining to the feasibility of Phase Induced Amplitude Apodization (PIAA) units using deformable mirrors (DMs). We begin by reviewing the general derivation of the design equations driving PIAA. We then show how to solve these equations for square apertures and show the performance of pure PIAA systems in the ray optics regime. We tie these design equations into the study of edge diffraction effects and provide a general expression for the field after a full propagation through a PIAA coronagraph. Third, we illustrate how a combination of pre- and post-apodizers yields a contrast of 10{sup -10} even in the presence of diffractive effects, for configuration with neither wavefront errors or wavefront control. Finally, we present novel PIAA configurations over square apertures which circumvent the constraints on the manufacturing of PIAA optics by inducing the apodization with two square DMs. Such solutions rely on pupil size smaller than currently envisioned static PIAA solutions and thus require aggressive pre- and post-apodizing screens in order to mitigate for diffractive effect between the two mirrors. As a result they are associated with significant loss in performance, throughput in particular.

Authors:
 [1]; ;  [2];  [3]
  1. Department of Physics and Astronomy, Johns Hopkins University, 366 Bloomberg Center, 3400 N. Charles Street, Baltimore, MD 21218 (United States)
  2. Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544 (United States)
  3. Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ 08544 (United States)
Publication Date:
OSTI Identifier:
21560340
Resource Type:
Journal Article
Journal Name:
Astrophysical Journal, Supplement Series
Additional Journal Information:
Journal Volume: 195; Journal Issue: 2; Other Information: DOI: 10.1088/0067-0049/195/2/25; Journal ID: ISSN 0067-0049
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; AMPLITUDES; APERTURES; DESIGN; DETECTION; EQUATIONS; MATHEMATICAL SOLUTIONS; MIRRORS; PLANETS; SATELLITES; OPENINGS

Citation Formats

Pueyo, Laurent, Jeremy Kasdin, N., Carlotti, Alexis, and Vanderbei, Robert, E-mail: lap@pha.jhu.edu. DESIGN OF PHASE INDUCED AMPLITUDE APODIZATION CORONAGRAPHS OVER SQUARE APERTURES. United States: N. p., 2011. Web. doi:10.1088/0067-0049/195/2/25.
Pueyo, Laurent, Jeremy Kasdin, N., Carlotti, Alexis, & Vanderbei, Robert, E-mail: lap@pha.jhu.edu. DESIGN OF PHASE INDUCED AMPLITUDE APODIZATION CORONAGRAPHS OVER SQUARE APERTURES. United States. doi:10.1088/0067-0049/195/2/25.
Pueyo, Laurent, Jeremy Kasdin, N., Carlotti, Alexis, and Vanderbei, Robert, E-mail: lap@pha.jhu.edu. Mon . "DESIGN OF PHASE INDUCED AMPLITUDE APODIZATION CORONAGRAPHS OVER SQUARE APERTURES". United States. doi:10.1088/0067-0049/195/2/25.
@article{osti_21560340,
title = {DESIGN OF PHASE INDUCED AMPLITUDE APODIZATION CORONAGRAPHS OVER SQUARE APERTURES},
author = {Pueyo, Laurent and Jeremy Kasdin, N. and Carlotti, Alexis and Vanderbei, Robert, E-mail: lap@pha.jhu.edu},
abstractNote = {The purpose of this paper is to present the results of a theoretical study pertaining to the feasibility of Phase Induced Amplitude Apodization (PIAA) units using deformable mirrors (DMs). We begin by reviewing the general derivation of the design equations driving PIAA. We then show how to solve these equations for square apertures and show the performance of pure PIAA systems in the ray optics regime. We tie these design equations into the study of edge diffraction effects and provide a general expression for the field after a full propagation through a PIAA coronagraph. Third, we illustrate how a combination of pre- and post-apodizers yields a contrast of 10{sup -10} even in the presence of diffractive effects, for configuration with neither wavefront errors or wavefront control. Finally, we present novel PIAA configurations over square apertures which circumvent the constraints on the manufacturing of PIAA optics by inducing the apodization with two square DMs. Such solutions rely on pupil size smaller than currently envisioned static PIAA solutions and thus require aggressive pre- and post-apodizing screens in order to mitigate for diffractive effect between the two mirrors. As a result they are associated with significant loss in performance, throughput in particular.},
doi = {10.1088/0067-0049/195/2/25},
journal = {Astrophysical Journal, Supplement Series},
issn = {0067-0049},
number = 2,
volume = 195,
place = {United States},
year = {2011},
month = {8}
}