Non-adaptive Wavefront Control

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OWL Phase A Review - Garching - 2 nd to 4 th Nov 2005 Non-adaptive Wavefront Control (Presented by L. Noethe) 1

Specific problems in ELTs and OWL Concentrate on problems which are specific for ELTs and, in particular, for OWL Alignment and shape correction of optical surfaces Large number of segments in segmented mirrors Six optical surfaces Two segmented mirrors Requires mainly further development of already existing active optics techniques Operation in open air Advantages: thermal equilibrium and predictable wind loads Disadvantage: larger wind loads Feasible with extensive use of fast control loops 2

Overview : Wavefront Control Pre-alignment once Optical elements and segments Main axes control 1 Hz Azimuth/altitude drives Wind Segments Phasing : optical Beginning of the night Segments of M1 and M2 Active optics 0.01-1 Hz M1 - M6 Gravity, Temperature Field Stabilisation 10 Hz M6-support Wind Segments Phasing : inner loop 10 Hz Segments of M1 and M2 Wind Field Stabilisation 100 Hz M6 Atmosphere 3 Adaptive Optics a few 100 Hz M5 and M6 Atmosphere

Control Architecture 4

Pre-alignment Alignment of segments Use of a spherometer to align a new segment relative to its neighbours Stacking of the images produced by individual segments Alignment of optical elements Use of a fibre extensiometer to be developed within the FP6 ELT study Residual errors after pre-alignment Positions M1 M6 : ~1 mm Tilts M1 - M6 : ~ 1 arcsec Piston errors of segments : ~ 2 µm Deformations M3 and M4 : ~ 30 µm 5

Correction strategy Complete correction in one step Measurements from several Shack-Hartmann sensors and one phasing sensor Inversion of the matrix relating the actuator degrees of freedom to the measured parameters by singular value decomposition Calculation of the actuator commands from the measured signals with the inverted matrix Disadvantage : requires a very large matrix Alternative approach : split the correction into several steps More than one possible strategy One sequence of correction steps Correction of slope errors with the segments Phasing of the segments Correction of misalignments and deformations of M1 to M6 6

Active optics corrections with one Shack- Hartmann and one phasing wavefront sensors 7

Full correction with wavefront sensors in several field positions Aberrations generated by Misalignments of the mirrors Deformations of the meniscus mirrors Characteristic patterns of additional field aberrations Correction with an in-pupil mirror only possible for one field angle Required wavefront sensors 1 Shack-Hartmann sensor with 19 lensets per M1 segment At most 6 Shack-Hartmann sensors with 20 by 20 subapertures covering M1 1 (baseline) or 2 (optional) phasing sensors 8

Phasing wavefront sensors Multi-wavelengths techniques Reduce the wavefront piston steps of 2 µm to less than 100 nm Narrowband techniques Shack-Hartmann: lenslets covering subapertures centered on segment borders Information contained in the position of the maximum and in the shape of the diffraction pattern Applied in the Keck Telescope extracting the shape information Problem : exact positioning of a large lenslet array in the reimaged pupil 9

Phasing wavefront sensors: Mach-Zehnder Telescope focus Reference channel Beamsplitter Spatial filtering in a focal plane Problem : Alignment of the optics Pinhole Interferogram Beamsplitter Interferogram 1.0 Diffrential signal, S 0.5 0.0-0.5 x ϕ=π/2, a=2" ϕ=π/4, a=2" ϕ=π/2, a=3" -1.0-100 -80-60 -40-20 0 20 40 60 80 100 Position, mm 10

Phasing wavefront sensors phase filtering (LAM/IAC) Adding of a phase delay in the center of the image Easier to align than the Mach-Zehnder sensor D=seeing λ/9 11

Phasing wavefront sensors defocusing (IAC) and pyramid sensor (Arcetri) 12

Phasing wavefront sensors identification of borders Possible algorithm : contrast enhancement and Hough transform Promising for large piston steps To be validated for small piston steps Imaging of the gaps 10% reduction of the intensity for pixels covering gaps 13

Phasing of petals The M2/corrector support structure may optically divide M1 into six petals. Struts thin enough to allow optical phasing of the full segmented mirror Backup solution : additional special wavefront sensor for the phasing of the petals relative to each other 14

Phasing disentangling M1/M2 segmentation Segmentation patterns originating from M1 and M2 are superimposed in the detection planes of the wavefront sensors Disentangling could be done by Spatial filtering in the Fourier space Use of two or three phasing wavefront sensors in the field 15

Active Phasing Experiment Comparison of different phasing wavefront sensors Test of simultaneous correction of wavefront errors generated by segmented and flexible meniscus mirrors 16

Full scale pressure measurements Jodrell Bank Radio Telescope Diameter : 76 m 17

Jodrell Bank Location of pressure sensors 18

Jodrell Bank Power spectrum Wind speed: 10 m/sec, Sampling rate : 8 khz, Integration time : 78 min von Karman spectrum Corner frequency: 0.03 Hz Slope: -7/3 19

Main axes control - wind spectra and altitude transfer function Von Karman wind spectra Wind speed 10 14 m/sec Turbulence intensity 0.15 Corner frequency 0.02 Hz Altitude axis transfer functions 20

Main axes control - Residual tracking errors Goal: Residual tracking errors be within the correction range of the fast tip-tilt corrections with the M6-support Closed-loop bandwidth: 1 Hz Robust design with sufficient modulus margins Residual RMS errors: 0.19 arcsec for 0 deg 0.32 arcsec for 60 deg 21

Rolling friction effects of Bogies 22

Correction of tracking errors by M6-support Power spectral density of the tilt error with and without closed-loop corrections by the M6-support (closed-loop bandwidth: 3.5 Hz) Residual tilt error as a function of the closedloop bandwidth Will be corrected by adaptive M6 23

Control of segment position Control of the segment position based on signals from the edge sensors Wind speed : 10 m/sec, corner frequency: 0.07 Hz, turbulence intensity: 0.15 Lowest segment piston frequency : 60 Hz Residual closed-loop error with a 10 Hz bandwidth : ~ 7 nm Further reduction may be possible with acceleration feedback control 24

Wind Evaluation Breadboard Test edge sensors, position actuators and control algorithms under observatory conditions 25

Conclusions Further development required for phasing wavefront sensors Disentangling of overlapping segmentation patterns Detection of the segmentation pattern Optionally continuous wavefront sensing Questions are addressed by the APE experiment Operation of the telescope seems feasible in open air Segmented mirrors controlled by fast feedback loops Large meniscus mirrors shielded from the wind No fundamental problems with the non-adaptive wavefront control 26