Denis Brousseau

Wavefront correction with a 37-actuator ferrofluid deformable mirror

This paper discusses an innovative low-cost deformable mirror made of a magnetic liquid (ferrofluid) whose surface is actuated by an hexagonal array of small current carrying coils. Predicted and experimental performances of a 37-actuator ferrofluid deformable mirror are presented along with wavefront correction examples. We show the validity of the model used to compute the actuators currents to obtain a desired wavefront shape. We demonstrate that the ferrofluid deformable mirror can correct a 11 microm low order aberrated wavefront to a residual RMS error of 0.05 microm corresponding to a Strehl ratio of 0.82.

Linearization of the response of a 91-actuator magnetic liquid deformable mirror

We present the experimental performance of a 91-actuator deformable mirror made of a magnetic liquid (ferrofluid) using a new technique that linearizes the response of the mirror by superposing a uniform magnetic field to the one produced by the actuators. We demonstrate linear driving of the mirror using influence functions, measured with a Fizeau interferometer, by producing the first 36 Zernikes polynomials. Based on our measurements, we predict achievable mean PV wavefront amplitudes of up to 30 microm having RMS residuals of lambda/10 at 632.8 nm. Linear combination of Zernikes and over-time repeatability are also demonstrated.

A magnetic liquid deformable mirror for high stroke and low order axially symmetrical aberrations.

We present a new class of magnetically shaped deformable liquid mirrors made of a magnetic liquid (ferrofluid). Deformable liquid mirrors offer advantages with respect to deformable solid mirrors: large deformations, low costs and the possibility of very large mirrors with added aberration control. They have some disadvantages (e.g. slower response time). We made and tested a deformable mirror, producing axially symmetrical wavefront aberrations by applying electric currents to 5 concentric coils made of copper wire wound on aluminum cylinders. Each of these coils generates a magnetic field which combines to deform the surface of a ferrofluid to the desired shape. We have carried out laboratory tests on a 5 cm diameter prototype mirror and demonstrated defocus as well as Seidel and Zernike spherical aberrations having amplitudes up to 20 microm, which was the limiting measurable amplitude of our equipment.

Generation of Bessel beams using a magnetic liquid deformable mirror

A deformable mirror made of a magnetic liquid has been used to produce conical surfaces with subwavelength (λ/4) accuracy. The surface profile of the liquid mirror is controlled by 91 small magnetic coils. The mirror exhibits a linear response with respect to the currents driving the coils, and it allows for real-time changes of its surface profile. The magnetic liquid deformable mirror has been used to produce reflected beams having a conical wavefront; the propagation of the reflected beams was verified to be consistent with that of Bessel beams in the near and far field. The large dynamic range of such a deformable mirror has made it possible to generate Bessel beams with a broad range of beam parameters.

Dynamic response of ferrofluidic deformable mirrors.

Ferrofluids can be used to make deformable mirrors having highly interesting characteristics (e.g., extremely large strokes and low costs). Until recently, such mirrors were thought to be restricted to corrections of frequencies lower than 10 Hz, thus limiting their usefulness. We present counterintuitive results that demonstrate that the limiting operational frequency can be increased by increasing the viscosity of the ferrofluid. We tested the response of ferrofluids having viscosities as high as 494 cP, finding that they could allow an adaptive optics correction frequency as high as 900 Hz. We also demonstrate that we can counter the amplitude loss due to the high viscosity by overdriving the actuators. The overdriving technique combines high current, short duration pulses with ordinary driving step functions to deform the mirror. The integration of a FDM in a complete closed-loop adaptive optics system running at about 500 Hz thus appears to be a realistic goal in the near future.

Large magnetic liquid mirrors

We present a new class of large liquid mirrors that use a ferrofluid covered by a reflecting layer of nanoparticles. The surface of the mirror is shaped by several concentric loops of current carrying coils. We first validate our theoretical models by comparing the theoretical predictions to interferometric measurements of a small prototype, finding agreement between data and theory. We then compute with Monte Carlo simulations models for f/2 mirrors having diameters varying between 15 and 44 m. Although much work remains to be done before a functional large mirror is actually built, our first exploration of the concept indicates that it is technologically feasible, thus warranting further work.

Wavefront correction with a ferrofluid deformable mirror: experimental results and recent developments

We present the research status of a deformable mirror made of a magnetic liquid whose surface is actuated by a triangular array of small current carrying coils. We demonstrate that the mirror can correct a 11 μm low order aberrated wavefront to a residual RMS wavefront error 0.05 μm. Recent developments show that these deformable mirrors can reach a frequency response of several hundred hertz. A new method for linearizing the response of these mirrors is also presented.

`imaka: a path-finder ground-layer adaptive optics system for the University of Hawaii 2.2-meter telescope on Maunakea

Astronomy with ground-layer adaptive optics systems will push observations with AO to much larger fields of view than previously achieved. Observations such as astrometry of stars in crowded stellar fields and deep searches for very distant star-forming galaxies pushes the systems to the widest possible fields of view. Optical turbulence profiles on Maunakea, Hawaii suggest that such a system could deliver corrected fields of view several tens of arcminutes in size at resolutions close to the free-atmosphere seeing. We present the status of a pathfinder wide field of view ground-layer adaptive optics system on the UH2.2m telescope that will demonstrate key cases and serve as a test bed for systems on larger telescopes and for systems with even larger fields of view.

Modal dynamics of magnetic-liquid deformable mirrors

Magnetic-liquid deformable mirrors (MLDMs) were introduced by our group in 2004 and numerous developments have been made since then. The usefulness of this type of mirror in various applications has already been shown, but experimental data on their dynamics are still lacking. A complete theoretical modeling of MLDM dynamics is a complex task because it requires an approach based on magnetohydrodynamics. A purpose of this paper is to present and analyze new experimental data of the dynamics of these mirrors from open-loop step response measurements and show that a basic transfer function modeling is adequate to achieve closed-loop control. Also, experimental data on the eigenmodes dynamic is presented and a modal-based control approach is suggested.

Liquid deformable mirror for advanced sub-optical system testing

The new giant telescopes can be compared to space projects. They will require ground-based test support equipment to fully characterize the optical sub-system functionalities and performances before costly commissioning on the telescope. The support equipment must be designed to reproduce the telescope or the front optical systems aberrated wavefront. We show that the aberrated wavefront can be generated at low cost by a magnetic liquid deformable mirror. A prototype 91- actuator liquid deformable mirror having a diameter of 33 mm was built and used to simulate the off-axis aberrated CFHTs primary mirror up to 0.5 degrees FOV.