Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization

In this paper, a numeric optimization approach for designing space telescope mirrors will be presented. It is fundamental to space telescopes that each element—including their mirrors—are as lightweight as possible. Moreover, the performance of space telescopes is driven by how strongly these mirror...

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Main Authors: Marcel Warzecha, Markus E. Schatz, Stefano Lucarelli, Cedric Jüttner
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/9/11/646
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author Marcel Warzecha
Markus E. Schatz
Stefano Lucarelli
Cedric Jüttner
author_facet Marcel Warzecha
Markus E. Schatz
Stefano Lucarelli
Cedric Jüttner
author_sort Marcel Warzecha
collection DOAJ
description In this paper, a numeric optimization approach for designing space telescope mirrors will be presented. It is fundamental to space telescopes that each element—including their mirrors—are as lightweight as possible. Moreover, the performance of space telescopes is driven by how strongly these mirrors are distorted upon removal of gravitational load. These distortions result in a deterioration in the optical performance, which is also known as the wavefront error. This error can best be described via Zernike polynomials. To increase the optical performance, along with making the mirror lightweight, the overall root mean square (RMS) of the deformation is used as the optimization objective. An approach utilizing size and shape variables is used to define the feasible design space for the optimization. Lastly, general findings will be discussed, as well as numerical advantages of deploying structural optimization (e.g., robustness evaluation).
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spelling doaj.art-21488784fb424d90b437182df22ffbdc2023-11-24T03:15:07ZengMDPI AGAerospace2226-43102022-10-0191164610.3390/aerospace9110646Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size OptimizationMarcel Warzecha0Markus E. Schatz1Stefano Lucarelli2Cedric Jüttner3TU Munich, 80333 München, GermanyDHBW Ravensburg, 70174 Stuttgart, GermanyAIRBUS Defence & Space GmbH, 82024 Taufkirchen, GermanyAltair Engineering GmbH, Calwer Str. 7, 71034 Böblingen, GermanyIn this paper, a numeric optimization approach for designing space telescope mirrors will be presented. It is fundamental to space telescopes that each element—including their mirrors—are as lightweight as possible. Moreover, the performance of space telescopes is driven by how strongly these mirrors are distorted upon removal of gravitational load. These distortions result in a deterioration in the optical performance, which is also known as the wavefront error. This error can best be described via Zernike polynomials. To increase the optical performance, along with making the mirror lightweight, the overall root mean square (RMS) of the deformation is used as the optimization objective. An approach utilizing size and shape variables is used to define the feasible design space for the optimization. Lastly, general findings will be discussed, as well as numerical advantages of deploying structural optimization (e.g., robustness evaluation).https://www.mdpi.com/2226-4310/9/11/646telescope mirrorsstructural optimizationsize and shape design variableswavefront errorgravity releaseZernike polynomials
spellingShingle Marcel Warzecha
Markus E. Schatz
Stefano Lucarelli
Cedric Jüttner
Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization
Aerospace
telescope mirrors
structural optimization
size and shape design variables
wavefront error
gravity release
Zernike polynomials
title Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization
title_full Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization
title_fullStr Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization
title_full_unstemmed Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization
title_short Increasing Structural Performance of Space Telescope Mirrors through Simultaneous Shape and Size Optimization
title_sort increasing structural performance of space telescope mirrors through simultaneous shape and size optimization
topic telescope mirrors
structural optimization
size and shape design variables
wavefront error
gravity release
Zernike polynomials
url https://www.mdpi.com/2226-4310/9/11/646
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