Optimization Of The Efficiency Of A Pre And Post Apodized Piaa Coronagraph Using A Numerical Propagator.

Computer Science – Performance

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Scientific paper

Using a numerical propagator based on the Huygens integral, we study the apodization profiles (and PSFs) provided by a set of two PIAA mirrors that follow a square geometry. This choice is made as deformable mirrors could potentially be used as pupil mappers. A pre-apodizer and a post-apodizer are needed to improve the contrast and relax the manufacturing constraints of the mirrors. The stroke, minimum radius of curvature and diameter of the mirrors altogether with the parameters that define the pre and post apodizers’ properties are connected to the performances of the coronagraph in term of contrast, throughput and inner working angle. Characterizing these relations allows us to invert some of them. For example, we are able to set a specific value for the final throughput and to find out, for a particular mirror's diameter and stroke, the distance between the mirrors as well as the characteristics of the pre and post apodizers that need to be used. Contrast maps are given as functions of the stroke, the diameter, the radius of curvature and the throughput. All these numerical tools help us to understand the trade-offs that exist behind the design of a PIAA system. There is a direct relation between the diameter, stroke, maximum radius of curvature of the mirrors and the strength of the post-apodizer. Increasing the diameter improves the contrast but asks for a higher stroke and bigger distance. For a given set of mirrors, a better contrast can then be obtained by strengthening the pre and post apodizers at the expense of the throughput and the inner working angle. The post-apodizer could either be a transmittive, continuous apodizer or a binary apodizer. The latter case is explored and optimized binary apodizers are found for several PIAA cases. This work is supported by a NASA APRA grant.

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