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Sziasztok Skacok
Chapter 2

Mirror Design For Optical Telescopes

The reflector mirror is the most important component of an astronomical optical telescope. This chapter provides discussions on the requirements for astronomical optical mirrors; the ways to reduce mirror weight, mirror cost, and mirror materials; the methods of mirror figuring, polishing, and surface coating; the design of mirror support mechanism; the concept of mirror seeing; and the stray light control. Emphasis is placed on various mirror designs for modern large optical telescopes. These include the thin mirror, honeycomb mirror, segmented mirror, and multi-mirror telescope concepts. When discussing all these concepts, important formulas and their restrictions are provided for the reader’s reference so that they may use them in their mirror design practice. The discussion on the mirror support system is thorough and comprehensive, including both the positional and flotation support systems. A new mirror support system using a hexapod platform is also introduced. In the stray light control section, a new scattering theory based on the bidirectional reflectance distribution function is also introduced.

2.1 Specifications for Optical Mirror Design
2.1.1 Fundamental Requirements for Optical Mirrors An optical astronomical telescope, as a very sensitive light collector, comprises a number of important components. Among these, the reflecting primary mirror is the most important. The telescope efficiency is directly related to its area, its reflectivity, and its surface accuracy. The mirror area and reflectivity have been discussed in Section 1.2.2. The mirror surface accuracy is related to wavefront errors which affect the image Strehl ratio. The image Strehl ratio and the wavefront error were briefly introduced in Section 1.4.3. To obtain sharp star images, a rigorous tolerance is used for the mirror surface precision. The ideal primary mirror shape is determined through optical design, ray tracing, and



References: Bely, P., 2003, The design and construction of large optical telescopes, Springer, New York. Bennett, J. M. and Mattsson L., 1999, Introduction to surface roughness and scattering, 2nd edn, Optical Society of America, Washington D. C. Cheng, J. and Humphries, C. M., 1982, Thin mirrors for large optical telescope, Vistas in astronomy, 26, 15--35. Classen, J. and Sperling, N., 1981, Telescopes for the record, Sky and Telescope, Vol. 61, Apr. 1981, 303--307. Dalrymple, N. E., 2002, Mirror seeing, ATST project report #0003, NOAO. ESO, 1986, Very Large Telescope Project, ESO’s proposal for the 16 meters very large telescope, Venice workshop, 29, Sep. 2, Oct. Hill, J. M., 1995, Mirror support system for large honeycomb mirrors, UA-95-02, Large Binocular Telescope tech memo, steward observatory, University of Arizona. Lubliner, J. and Nelson, J., 1980, Stressed mirror polishing. 1 a technique for producing nonaxisymmetric mirrors, Applied Optics, 19, 2332. Mountain, M. et al., 1994, The Gemini 8 m telescopes project, SPIE 2199, 41--55. Nelson, J. E., Lubliner, J. and Mast, T. S., 1982, Telescope mirror supports: plate deflection on point supports, UC TMT Report No. 74, The University of California. Nelson, J. E., Mast, T. S. and Faber, S. M., 1985, The Design of the Keck observatory and telescope, Keck Observatory Report No. 90, the University of California and California Institute of Technology. Parks, R. E. and Honeycutt, K., 1998, Novel kinematic equatorial primary mirror mount, SPIE 3352, 537--543. Swings, J. P. and Kjar, K. eds., 1983, ESO’s Very Large Telescope, Cargese, May. West, S. C. et al., 1997, Progress at Vatican Advanced technology telescope, SPIE Proc. 2871, 74--83. http://www.springer.com/978-0-387-88790-6

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