1. Wide-field, triple spectrograph with R=5000 for a fast 22 m telescope Roger Angel, Steward Observatory 1 st draft, December 4, 2002 Summary This wide-field, multi-slit spectrograph is for a telescope with primary mirror of 18 m focal length, effective diameter of 22 m and maximum envelope of 25 m. The secondary is 2.9 m diameter and forms an f/10.2 RC focus 14.4 m behind the primary vertex, where the field is divided into segments by a 3-sided reflecting pyramid. Reflecting collimators of focal length equal to the 2.1 m radius of curvature of the RC focal surface form 195 mm pupils with angular magnification of 128. With a 937 grooves/mm gratings blazed at 50 , the R  product is 5000 arcsec at =1520 nm in 1 st order and 760 nm in 2 nd order. There is a factor 2 anamorphic demagnification in the dispersion direction. Each camera with 500 mm entrance aperture and 11.4  field radius records objects over a 120° segment of a 12- arcminute annular field with spectral range, for example, 690-830 nm. 300 spectra could be recorded simultaneously, assuming slitlet lengths of 5 arcsec.

2. Summary (continued) The RC telescope field aberrations are small, with 100% energy encircled in 0.24 arcsec diameter at the edge of the 12’ diameter field. The collimator yields 80% encircled energy within 0.32 arcsec averaged over the field, and in the worst case, 0.41 arcsec. We have not designed a camera, but have simply assumed the 11.4  field radius of DEIMOS, with entrance aperture increased from 295 to 500 mm. To maintain uv cover this would require very large uv glass and CaF 2 blanks. Cameras to cover the 0.45 – 1  m range will likely be possible and even affordable. A broad spectrum of glasses is available, and the resolution requirement is reduced because of high angular magnification at the pupil. Separate, smaller aperture cameras would be adequate for lower resolution spectra in the ultraviolet.

3. 22 m Davison telescope concept Primary mirror with 6 off- axis and 1 central 8.4 m segments 18 m primary focal length collecting area 374 m 2 equivalent diameter 21.8 m largest outside dimension 25.3 m

4. Complete optical diagram (one channel)

5. Ray diagram for high resolution gratings, single slit per segment The 5.5 m diameter instrument (at the collimator surfaces) fits easily at the direct RC focus between the C rings

6. Sources placed in 1/3 segment of 12’ diameter RC field (0.90 m) Plate scale 1.24 mm/arcsec

7. All fields and wavelengths 690, 725, 760, 795 and 830 nm

8. 52  22 cm footprint at R=5000 grating, showing all fields.

9. All fields, all wavelengths at 0.5 m camera aperture

10. Focal plane with focus shift to show vignetting by 0.5 m camera entrance 830 nm (magenta) 690 nm (blue) 22.8º diameter

11. Spectra in focus

12. Spot diagrams for all fields box is 1 arcsec (y axis dispersion) by 0.5 arcsec x axis

13. Y-axis enclosed energy (1 arcsec=161  m)

14. Prescription (dimensions in meters) Surface radius spacingdiameter conic 1primary (stop) 36 16 25 – 1.001233 2secondary 4.303 27.598 2.867 – 1.339863 3fold mirror flat 0.8 4(RC focus) 2.144 2 0.901 5collimator 3.98965 2.1 1.157– 1.966114 6grating flat 0.7 0.553 7paraxial camera 0.5 0.5 (0.5 m f.l.) 8image flat 0.202 Aspheric terms on the collimator: R6 0.016293531 R8 – 0.072999173 R10 0.17282961 R12 – 0.1590606