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Reference: Griffiths, I, Lemmer, AJ, Groff, TD et al., (2016). Mathematical and computational modeling of a ferrofluid deformable mirror for high-contrast imaging.Citable link to this page:


Mathematical and computational modeling of a ferrofluid deformable mirror for high-contrast imaging

Abstract: Deformable mirrors (DMs) are an enabling and mission-critical technology in any coronagraphic instrument designed to directly image exoplanets. A new ferrofluid deformable mirror technology for high-contrast imaging is currently under development at Princeton, featuring a flexible optical surface manipulated by the local electromagnetic and global hydraulic actuation of a reservoir of ferrofluid. The ferrofluid DM is designed to prioritize high optical surface quality, high-precision/low-stroke actuation, and excellent low-spatial-frequency performance|capabilities that meet the unique demands of high-contrast coronagraphy in a space-based platform. To this end, the ferrofluid medium continuously supports the DM facesheet, a configuration that eliminates actuator print-through (or, quilting) by decoupling the nominal surface figure from the geometry of the actuator array. The global pressure control allows independent focus actuation. In this paper we describe an analytical model for the quasi-static deformation response of the DM facesheet to both magnetic and pressure actuation. These modeling efforts serve to identify the key design parameters and quantify their contributions to the DM response, model the relationship between actuation commands and DM surface-profile response, and predict performance metrics such as achievable spatial resolution and stroke precision for specific actuator configurations. Our theoretical approach addresses the complexity of the boundary conditions associated with mechanical mounting of the facesheet, and makes use of asymptotic approximations by leveraging the three distinct length scales in the problem|namely, the low-stroke (~nm) actuation, facesheet thickness (~mm), and mirror diameter (~cm). In addition to describing the theoretical treatment, we report the progress of computational multiphysics simulations which will be useful in improving the model fidelity and in drawing conclusions to improve the design.

Publication status:PublishedPeer Review status:Peer reviewedVersion:Accepted manuscriptDate of acceptance:2016-07-22 Funder: National Aeronautics and Space Administration   Funder: Nancy Grace Roman Technology Fellowship in Astrophysics for Early Career Researchers   Funder: Princeton University's Eric and Wendy Schmidt Transformative Technology Fund   Notes:Copyright 2016 Society of Photo Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

Bibliographic Details

Publisher: Society of Photo-optical Instrumentation Engineers

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Host: SPIE Proceedingssee more from them

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Issue Date: 2016-07Identifiers


Uuid: uuid:2fbe1ebd-f623-490d-abc1-7f6e07057041

Urn: uri:2fbe1ebd-f623-490d-abc1-7f6e07057041

Pubs-id: pubs:648601 Item Description

Type: conference-proceeding;

Version: Accepted manuscriptKeywords: Deformable Mirror Ferrofluid Influence Function Adaptive Optics Wavefront Control Coronagraphy High-Contrast Imaging Exoplanet


Autor: Griffiths, I - Oxford, MPLS, Mathematical Institute - - - Lemmer, AJ - - - Groff, TD - - - Rousing, AW - - - Kasdin, NJ - - - - B



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