Conference Paper

Development of a self-assembling ferrofluidic ionic liquid mirror

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Abstract

Under the Defense Advanced Research Projects Agency (DARPA) Zenith program, a novel concept has been developed for a self-assembling ferrofluidic ionic liquid mirror (FILM) telescope utilizing a Halbach array of permanent neodymium magnets. The primary mirror will be constructed from two immiscible liquids containing reflective and magnetic nanoparticles (NPs), which will spontaneously phase separate. To maximize reflectivity, minimize wavefront error (WFE), and anchor the reflective layer, the volume of the upper liquid has been minimized. The system is scalable and self-healing and can be deployed without applied acceleration or rotation. The Halbach array overcomes the force of gravity for a ground-based liquid mirror, providing a Kelvin body force potential parallel to the surface of the array. The liquids are held in place and shaped within the mirror by use of the magnetic array, hydrophilic materials, and the high surface tension and high viscosity of the liquid. By tuning the position of the magnet assembly and application of components that tune the effective magnetic field, the liquid surface is forced to adopt the desired optical shape and allows tilting off-axis and slewing with acceptable imaging quality WFE levels. We report here on the progress of this work in multiple areas including modeling and simulation of the magnetic fluid system optimized for a 0.5 m diameter demonstration mirror and the supporting development of laboratory 0.25 m × 0.25 m flat prototypes of the fluid and magnetic systems. Analytical and finite element models of the ferrofluid and magnetic array have been developed and these results have informed a PDR-level design for a notional build and demonstration of a 0.5 m diameter F/2 spherical mirror with overall root mean squared (RMS) WFE of λ/6 at λ= 550 nm at Zenith which can be slewed to off-zenith pointing angles of up to 10°.

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... In the context of adaptive mirror development, electrostatic [27][28][29] and magnetic [30][31][32][33][34] actuators have also been studied. Although ferrofluids are dark and only slightly reflective, significant efforts have been devoted to developing metal liquid-like films that make them reflective and, therefore, applicable to optical systems [30,35]. ...
... This paper assesses the feasibility of the spherical liquid mirror telescope concept as a solution to the LMT limitation to zenith pointing. Although the synthesis of reflective ferrofluids is a necessary condition for the ferrofluid liquid mirror to operate [33][34][35][36][37], this paper focuses only on the ferrohydrodynamic aspects of the problem. The objectives, assumptions, and modeling framework are presented in Sec. 2. The viability of Earth and lunar-based liquid mirror telescopes is explored in Sec. 4 based on optimized solutions. ...
... The Ferrotec EMG-series water-based ferrofluid is used to estimate the properties of the liquid, though different ferrofluids would be used in production. For instance, vacuumcompatible ferrofluids, developed using ionic liquids [35] or silicon oil 1 , would be needed at the surface of the Moon. The EMG series is commercially available and can be easily diluted to specific concentrations. ...
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Liquid mirror telescopes exploit the rotation of a reflective fluid to generate diffraction-limited parabolic surfaces. They are economical and scalable but limited to zenith pointing. To expand their field of view, liquid mirror surfaces may be actuated into a spherical cap by means of magnetically susceptible liquids and electromagnetic coils, allowing the optics to rotate without actuating the mirror. However, the practical implementation of the concept remains largely unexplored. This paper adopts a nonlinear ferrohydrodynamic model to explore the technical feasibility of spherical liquid mirror telescopes. Surface deviations for a limited number of coils are extrapolated to determine the magnetic configuration requirements for a given optical wavelength, leading to an expected necessary coil count of 16+-12 for a mirror capable of operation in the visible spectrum, and 13+-10 for one operating in the mid-infrared. Tolerances of 7.3 um for coil positioning, 6.0 A for coil currents, and 9.1 nrad/s for mirror spinning speed are required with coil currents of up to 20 MA to achieve the optical performance metrics using low-density ferrofluids. The results indicate that, although mathematically achievable, the required precision exceeds current technological capabilities, motivating alternative approximations to the problem.
... 14 Figure 3 shows a schematic of the concept. Additional details may be found in Ref. 32. The mirror substrate is a curved (paraboloid) dish to match the required mirror curvature. ...
... Figure 14 shows a schematic of the concept. Additional details may be found in Ref. 32 . ...
... The primary figure control of the ionic ferrofluid is accomplished with a Halbach array. 32 The Halbach array creates a magnetic equipotential surface away from the array and parallel to the top plane of the array. 45 Preliminary ferromagnetic modeling led to the design and construction of a 10″ × 10″ Halbach array prototype with 400 half-inch cubic magnets, as shown in Fig. 15. ...
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Carbon Dioxide Removal by Ionic Liquid System (CDRILS): Impacts of trace contaminants and ground prototype testing
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Overview of DARPA's liquid mirror telescope program, and open-source liquid optic modeling tools
  • M Nayak
  • S Basu
  • M Julian
  • K Iyer
Nayak, M., Basu, S., Julian, M. and Iyer, K., "Overview of DARPA's liquid mirror telescope program, and open-source liquid optic modeling tools," Proceedings SPIE 13100-116, (2024).
Carbon Dioxide Removal by Ionic Liquid System (CDRILS): Impacts of trace contaminants and ground prototype testing
  • R Kamire
  • P Henson
  • S F Yates
  • E Rahislic
  • M Triezenberg
  • B Dotson
  • S Skomurski
  • J Ford
  • E Pope
  • K Pedersen
Kamire, R., Henson, P., Yates, S. F., Rahislic, E., Triezenberg, M., Dotson, B., Skomurski, S., Ford, J., Pope, E. and Pedersen, K., "Carbon Dioxide Removal by Ionic Liquid System (CDRILS): Impacts of trace contaminants and ground prototype testing," 51st International Conference on Environmental Systems, ICES-2022-289, St. Paul, MN, (2022). https://hdl.handle.net/2346/89801