Ultra-Flat Tip-Tilt-Piston MEMS Deformable Mirror

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Ultra-Flat Tip-Tilt-Piston MEMS Deformable Mirror Mirror Technology Days June 16 th, 2009 Jason Stewart Steven Cornelissen Paul Bierden Boston Micromachines Corp. Thomas Bifano Boston University

Mirror Development Summary 331-element Tip-Tilt-Piston (TTP) MEMS Deformable Mirror (DM) delivered to NASA JPL in January 2009 for use in high contrast imaging test bed Mirror segments capable of +/-6mrad tip-tilt and 2μm piston motion, while maintaining <6nm RMS flatness over full range of motion New micromirror design has reduced print-through and limits segment bending to <1nm RMS during actuation Explored capability of scaling DM design to 1027-elements, as well as the use a new algorithm to perform open-loop control of mirror segments

331 Element Tip-Tilt-Piston MEMS DM Application: Visible Nulling Coronagraph DM provides instrument with phase control using piston motion and amplitude control using tip-tilt motion Requires <10nm RMS segment flatness Tip-tilt-piston degrees of freedom provided by three piston-only electrostatic actuators 600 µm Mirror segment Electrostatic <6nm RMS mirror actuator Silicon substrate segment flatness achieved throughout full 331 segments, pitch 600μm range of motion TTP limits: +/-6mrad tip-tilt, 2um piston 9.5 mm Piston motion Tip/tilt motion

Actuator Array BMC Deformable Mirror Architecture Mirror Facesheet Actuator Electrode Deflected Actuator Continuous mirror (smooth phase control) Deformed Mirror Membrane Deformed Segmented Mirror Segmented mirror (uncoupled control)

Actuator Array BMC Deformable Mirror Architecture Mirror Facesheet Actuator Electrode Deflected Actuator Key Features Continuous mirror (smooth phase control) Electrostatic Actuation Hysteresis-Free Deformed Mirror Membrane High Speed Response Electrostatic Actuation Large Actuator Arrays Hysteresis-Free High Spatial Resolution Control Deformed Segmented Mirror Segmented mirror (uncoupled control)

Fabrication of Ultra-Flat MEMS DMs Inverse actuator torsional stiffness (m/µn) Challenges: 1. Mirror segments bend during actuation due applied moments from the actuator post connections 2. Mirror segments curl after release due to embedded stress gradients in the polysilicon layer 3. Optical quality is reduced by print-through of underlying layers TTP DM Design Solutions: Segment thickness (µm) 1. Bendinga) Resist applied bending moments => increase rigidity with mirror thickness b) Reduce applied bending moments => decrease actuator torsional stiffness 2. Counteract residual stress gradients through anneals of mirror polysilicon 3. Deposit thicker polysilicon for additional polishing to reduce print-through

Mirror Segment Design Use thick, eptiaxial-grown polysilicon layer (6-10µm) to achieve surface figure requirements Improved polishing Increase segment stiffness Mirror surface 6-10um Rq = 2.3um RMS Pre-Polish Rq = 0.8nm RMS Post-Polish Introduce flexure cuts around the actuator mirror post connection to reduce bending moments imparted to surface Torsional stiffness at the post interface is reduced by ~30X compared to conventional BMC actuator technology Mirror segment Mirror post Flexure cuts Actuator

Device Fabrication Process

Stress Gradient (Curvature) Control using Anneal Process 400 400 Condition I Condition II -200 400-200 400 Condition III Condition IV -200-200 2.2 nm RMS surface flatness on mirror segments achieved in Phase I

Surface Figure Results Full DM Aperture 9.8m ROC over aperture (unpowered) Curvature can be removed using DM actuators Single Mirror Segment 5.9 nm 0.2nm RMS over DM aperture Flatness of segment below = 5.2nm RMS 17mm Die Dimensions Actual Segment Thickness: 7.5mm Target Thickness = 9µm

Mirror Segment Bending Results +19.1nm Actuator A Actuator B Actuator C 5.5mrad tilt 7.6nm RMS bending -17.7nm +2.27nm 6mrad tilt 0.68nm RMS bending -2.36nm

Device Yield Actuator B Actuator A Actuator C 5 anomalous actuators on first tested device (99.4%)

Exploratory Work for 1027-element TTP DM The Epi-Poly deposition process (only) has also been scaled to hexagonal arrays of 1027-elements with similar success, achieving <10nm RMS mirror segment flatness The extension of an open-loop control algorithm developed for continuousfacesheet DM technology [1] is being explored for the TTP DM Combines analytical model describing actuator mechanical coupling with empirical model describing actuator deflection to predict voltages Array of 1027 Epi-Poly Hex Mirror Segments 252nm θ DM w 1 w 2 Mirror segment F M Posts -593nm V > 0 V = 0 Actuators Substrate [1] J. B. Stewart, A. Diouf, Y. Zhou, and T.G. Bifano, Open-loop Control of a MEMS Deformable Mirror for Large Amplitude Wavefront Control, JOSA A 24(12), 3827-3833 (2007)

Packaging and Electronics for a 1027-element TTP DM A larger 1027-element TTP DM is needed for the visible nulling coronagraph instrument BMC has developed packaging & electronics for DMs with up to 4096 connections BMC 64x64 continuous surface DM DIO Interface Interface HV Form factor Frame Rate Cross-talk Power draw Current limitation output Maximum Output voltage Resolution 32-bit LVDS (200 MB/s) 16x 300pin Megarray (4096 channel) 3U Chassis (5.25 x19 x14 ) 34 khz / 60 khz (Low Latency) < 1% peak amplitude 40W 0.7 ma max. 285V 14-bit 4096 High Speed Driver Electronics

Acknowledgements Funding from NASA/JPL SBIR Phase II #NNC07CA31C Boston University Photonics Center Thank you!!

Extra slides

Applications NASA s Terrestrial Planet Finding Mission The Visible Nulling Coronagraph (VNC) Demands control of wavefront phase and amplitude to achieve high contrast imaging of extrasolar planets Extremely Large Telescope (ELT) Wavefront Sensing Large primary mirrors are capable of resolving depth of Laser Guide Stars (LGS), creating blur in AO wavefront sensors (WFS) Demands dynamic wavefront tilt control

Application: The Visible Nulling Coronagraph The VNC is a competing architecture for NASA s Terrestrial Planet Finder (TPF) Coronagraphic Imaging Observatory, which aims to find and study Earth-like extrasolar planets For successful planet imaging in the visible, the observatory must suppress parent starlight by ~10 10 The nulling coronagraph architecture blocks starlight using a combination of interference and spatial filtering NASA s TPF Coronagraphic Imaging Observatory

Application: The Visible Nulling Coronagraph Starlight located on the telescope axis is destructively interfered; off-axis planet light is not To deepen the starlight null, the TTP DM controls subaperture wavefront phase using piston motion and amplitude using tip-tilt motion λ / s Star Planet Image