New opportunities of freeform gratings using diamond machining

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New opportunities of freeform gratings using diamond machining Dispersing elements for Astronomy: new trends and possibilities 11/10/17 Cyril Bourgenot Ariadna Calcines Ray Sharples

Plan of the talk Introduction on diamond machining Advantages and limitations of this technique Integrated gratings imaging spectrograph Overview of elliptical gratings Characterisation of diamond machined gratings through a project funded by CEOI

5 Axis diamond turning machines Basic Specification 5-Axis Configuration (X, Y, Z, B, C) Workpiece Capacity : Φ 600mm Travel X:350mm, Y:150mm,Z:300mm Granite Base with passive air isolation Programming Resolution 1nm - Linear Axes 0.036 arcsecs - C-axis 0.02 arcsecs B-Axis Feedback Resolution 0.034nm on linear axes

Advantages and limitations of diamond machining Machining in its functional orientation and position Blanks can be pre-machined in all sort of shape Full control of the groove profile : Echelle grating Multi blaze structure Variably spaced grooves improved thermal performance of metal optics at cryogenic temperatures : new type of ultrafine aluminium alloys Large sag, steep slope Quick set up and program, cost effective Tool wear, inducing variations in the groove s shape Thermal variation during machining => long machining time

RSA 6061 T6 - Ultra smooth surface where post polishing is not required. - In the best cutting conditions, roughness can be as low as 1nm RA. Diamond turned Diamond ruled

Grating specification Max size : ~250mm x 140mm (along the groove direction) Frequency : typical 100 lines/mm up to 1000 lines/mm (depending on grating size) Material : metallic substrate standard aluminium 6061 T6 Melted spun aluminium alloy from RSP (RSA 6061 T6, RSA 443) Brass, coper Nickel plated metal 4 axis of the machine are used at the same time: X,Y,Z => for ruling the grooves on the freeform surface B axis => rotation of the tool for keeping the blaze angle constant when the gradient changes

Multi blaze Coarse grating : 2mm period Blaze angle : 3 and 6 degrees

Dual Blaze Frequency : 10 microns Input angle : 3 Diffraction order : +1 R. Casini and P. G. Nelson, On the intensity distribution function of blazed reflective diffraction gratings, J Opt Soc Am A Opt Image Sci Vis, vol. 31, no. 10, pp. 2179 2184, 2014.

Linear variation frequency Coarse grating : 0.4mm => 3.6mm Blaze angle : 5

Design of elliptical gratings R 200-300 R 1500 Sphere constant pitch Asphere constant pitch Asphere variable pitch 0.15 micron variation C. Bourgenot, D. J. Robertson, D. Stelter, and S. Eikenberry, Towards freeform curved blazed gratings using diamond machining, vol. 9912, p. 99123M, 2016. SPIE 2016

Quadratic variation frequency Coarse grating : 2mm => 3.25mm Blaze angle : 5

Freeform gratings improved compactness reformat collimator grating camera Slicer + pupil mirrors + slit mirrors Grating fabricated onto a curved (freeform) surface the dispersion element can be integrated with the IFS pupil mirrors replace the pupil mirror, grating and camera optics with a single optical element. This will significantly reduce the complexity and increase modularity and compactness

First integrated grating imaging Collaboration between Durham University and University of Florida Airborne IFU working at low spectral and spatial resolutions in the visible range Design all aluminium Diamond machined in its functional position 12 slices covering a FOV of 1.1 x 0.3 spectrograph (IGIS) C. Bourgenot, D. J. Robertson, D. Stelter, and S. Eikenberry, Towards freeform curved blazed gratings using diamond machining, vol. 9912, p. 99123M, 2016.

Elliptical surface Tilted Ellipse F/6 Wavelength : 1.2 μm Square FOV :4mm Off axis :20mm Magnification : x0.3

Elliptical grating diff order 1 Elliptical grating F/6 Wavelength : 1.05-1.35 μm Spatial FOV : 4mm Off axis :20mm Magnification : x0.3 Period : 150 l /mm Diffraction order : 1 R : 2250

Elliptical grating diff order 3 Elliptical grating F/6 Wavelength band : 1.1-1.3 μm Spatial FOV : 4mm Off axis :20mm Magnification : x0.3 Period : 150 l /mm Diffraction order : 1 R : 6750 => Higher diffraction order possible at the cost of reduced wavelength bandwidth.

CEOI Project description Investigate technical feasibility, performance and limitations of metallic freeform blazed gratings produced by diamond machining. Materials comparison : RSA 6061 versus RSA 443 with Nickel plating Same grating design (pitch/blazed angle freeform shape) Develop the software tool for the machining of : Multiblaze structure Variable frequency grating Determine the optimal cutting parameters Feedrate & tool wear Grating Characterisation in term of : Spatial and spectral resolution Surface form error Roughness efficiency

Hyperspectral imager for Earth Pushbroom Observation Overcome the limitation by incorporating gratings within IFU and by customizing them for spectral resolution and bandwidth. Customization can be : - Different groove spacing - Different order - Different blaze angle

Freeform SAG at best fit sphere (micron) CEOI Project description FOV object (along the spatial direction) +/-2mm FOV image (along the spectral direction) +/-3.5mm Magnification -1 Input F number F/6.6 min Distance object 300mm Grating diameter Φ50mm Optimisation Wavelength [471nm,588nm,692nm] number of line / mm 100 Diffraction order 1 incidence angle at 588nm - centre of the grating 2.95 shape Ellipsoid Design of a 50mm grating, optimised for some of the strong lines of a Neon lamp. Theoretical R : 4500 Elliptical surface composed of a nominal spherical surface (1mm) + astigmatic surface (1.5micron)

conclusion Diamond machined freeform gratings can complement alternative technologies such as ion beam etching with holographic masks and offer a full control on the blaze structure. They can easily be implemented with : multi-blaze (broadening of the wavelength bandwidth) variable frequency (further improvement in the spectral resolution) on high sag, large slope surfaces. A new design of Integral field spectrometer : integrate freeform gratings onto the pupil mirrors, significantly reducing the complexity, at the cost of a FOV and spectral range set by the design parameters. Work in progress at Durham University for the development of novel machining strategies to produce and improves metallic diamond machined gratings.