Abstract
Foucault solved the problem of maintaining a mirror with a high reflective coating by introducing glass mirrors, which then can be easily re-silvered after chemical removal of the tarnished coating. This ended the era of speculum metal mirrors which required, when tarnished, a repolishing within a seeing limited – or diffraction limited – criterion. The chemical process was later replaced by the vacuum deposition process by J. Strong (cf. Sect. 1.1.5).
The next problems for the primary mirror of large telescopes were to minimize their elastic deflection under gravity – or own weight deformation – and also that resulting from thermal gradients. This latter problem was appropriately solved by the inventions and developments of low expansion materials such as Pyrex, Sitall, fused silica, vitrocerams, and silicon carbide.
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References
J.R.P. Angel, B. Martin, D. Sandler et al., The next generation space telescope: a monolithic mirror candidate, SPIE Proc., 2807, 354 (1996)
L. Arnold, Influence functions of a thin shallow meniscus-shaped mirror, Appl. Opt., 36(10), 2019–2028 (1997)
L. Arnold, Optimized axial support topologies for thin telescope mirrors, Opt. Eng., 34, 567–574 (1995)
L. Arnold, Optimized mirror supports and active primary mirrors, SPIE Proc., 2199, 239–250 (1994)
L. Arnold, Uniform-load and actuator influence functions of a thin annular mirror: application to active mirror support optimization, Appl. Opt., 35(7), 1095–1106 (1996)
Y.Y. Balega, private communication (2007)
A. Baranne, G.R. Lemaitre, Combinaison optique pour très grands télescopes: le concept TEMOS, C.R. Acad. Sc. Paris, 305, Série II, 445–450 (1987)
P.Y. Bely, The Design and Construction of Large Optical Telescopes, Springer edt., New York, 221 (2002)
I.S. Bowen, The 200-inch Hale Telescope, in Telescopes, G.P. Kuiper & B.M. Midlehurst edts., The University of Chicago Press, Chicago, 2nd issue, 1–15 (1962)
I.S. Bowen, The 200-inch Hale telescope, IAU Proc., vol. VIII, 5,750–754 (1953)
G. Chanan, C. Ohara, M. Troy, Phasing the primary mirror of the Keck telescopes II, Appl. Opt., 39(25), 4706–4714 (2000)
G. Chanan, J. Nelson, T. Mast, P. Wisinowich, B. Schaefer, The Keck telescope phasing camera system, SPIE Proc., 2198, 1139–1150 (1994)
G. Chanan, M. Troy, Strehl ratio and modulation transfer function for segmented mirror telescopes as function of the segment phase error, Appl. Opt., 38(31), 6642–6647 (2000)
G. Chanan, T. Mast, J. Nelson, Phasing the mirror segments of the Keck Telescope, SPIE Proc., 2199, 622–637 (1994)
J.-P. Chevillard, P. Connes et al., Near infrared astronomical light collector, Appl. Opt., 16(7), 1817–1833 (1977)
P. Connes, G. Michel, Astronomical Fourier spectrometer, Appl. Opt., 14(9), 2067–2084 (1975)
A. Couder, Recherches sur les déformations des grands miroirs – Effets thermiques: Déformations des miroirs, agitation de l’air, Bull. Astronomique Obs. Paris, VII, Fasc. 7, 19–312 (1932). [Cf. also transl. E.T. Pearson, KPNO Library (1966)]
A. Couder, Recherches sur les déformations des grands miroirs employés aux observations astronomiques, Bull. Astronomique Obs. Paris, VII, Fasc. 6, 201–281 (1931). [Cf. also transl. E.T. Pearson, KPNO Library (1966)]
J.F. Creedon, A.G. Lindgren, Automatica, 6(5), 643 (1970)
S. Cuevas, V.G. Orlov, F. Garfias et al., Curvature equation for a segmented telescope, SPIE Proc., 4003, 291–302 (2000)
S. Cuevas, V.G. Orlov, F. Garfias, V.V. Voitsekhovich, L. Sanchez, Curvature equation for a segmented telescope, SPIE Proc., 4003, 291–302 (2000)
X. Cui, D.-q. Su, G. Li et al., Experiment system of LAMOST active optics, SPIE Proc., 5489, 974–985 (2004)
X. Cui, Y. Li, X. Ni et al., The active support system of LAMOST reflective Schmidt plate, SPIE Proc., 4837, 628–636 (2003)
X. Cui, D.-q. Su, Y.-n. Wang, G. Li, G. Li, Y. Zhang, Y. Li, The optical performance of LAMOST telescope, SPIE Proc., 7733 (2010)
P. Dierickx, D. Enard, R. Geyl, J. Paseri, M. Cayrel, P. Béraud, The VLT primary mirrors, SPIE Proc., 2871, 385–392 (1996) (see also www.eso.org/projects/vlt/unit-tel/m1unit.html)
D. Enard, ESO-VLT: status of the main 8-m telescopes, SPIE Proc., 2199, 394–403 (1994)
S. Esposito, E. Pinna, A. Puglisi, A. Tozzi, P. Stefanini, Pyramid sensor for segmented mirror alignment, Opt. Lett., 30(19), 2572–2574 (2005)
L. Foucault, Annales de l’Observatoire de Paris, 5, 197–237 (1859)
P. Giordano, Internal ESO report, Paranal (2002)
J.M. Hill, J.R.P. Angel, R.D. Lutz et al., Casting the first 8.4 m borosilicate honeycomb mirror for the Large Binocular Telescope, SPIE Proc., 3352, 172 (1998)
W.E. Howell, J.F. Creedon, NASA Technical Note, NASA TN D-7090 (Jan. 1973)
http://grus.berkeley.edu/_~jrg/MIDDLE/
http://w0.sao.ru/Doc-en/Telescopes/bta/descrip.html
N. Itoh, I. Mikami et al., Active optics experiments II, Publ. Natl. Astron. Obs. Japan., 1, 57–61 (1989)
M. Iye, K. Kodaira, Primary support system for the SUBARU telescope, SPIE Proc., 2199, 762–772 (1994)
M. Iye, R. Noguchi, Y. Torii et al., Active optics experiments with a 62 cm thin mirror, SPIE Proc., 1236, 929–939 (1990)
N. Kaifu, SUBARU project: current status, SPIE Proc., 2199, 56–63 (1994)
V.L. Krabbendam, T.A. Sebring, F.B. Ray, S.R. Fowler, Development and performance of Hooby-Herberly Telescope 11 meter segmented mirror, SPIE Proc., 3352, 436–445 (1998)
L.D. Landau, E.M. Lifshitz, Theory of Elasticity in Course of Theoretical Physics – Vol. 7, USSR Acad. of Sc., Butterworth & Heinemann eds, 3rd edition, Pergaman press, Oxford, 67 (1986)
W. Lassell, Mem. Roy. Astron. Soc., XII, 265 (1842)
G.R. Lemaitre, M. Wang, Optical results with TEMOS 4 and a metal secondary mirror actively aspherized, SPIE Proc., 1931, 43–52 (1992)
G.R. Lemaitre, R.N. Wilson, S. Mazzanti, Proposal for a 1.8 m meter metal meniscus mirror at once actively aspherized and actively supported, SPIE Proc., 1931, 67–75 (1992)
G.R. Lemaitre, Sur la flexion des miroirs secondaires de télescopes, Nouv. Rev. Optique, 7(6), 389–397 (1976)
G.R. Lemaitre, Sur la flexion du grand miroir de 3.6 m ESO, ESO Bull., 8, 21–31 (1971)
A.E.H. Love, Mathematical Theory of Elasticity, first and second edition. See also fourth revised enlarged issue (1927). Reissued by Dover publ., New York, Sects. 299, 309 and 312c (1944)
A.F. Möbius, in Lehrbuch der Statik, 2 vols., Leipzig, Vol. 2, Chaps. 4 and 5 (1837)
B. Mack, Deflection and stress analysis of a 4.2 m primary mirror of an alt-azimuth mounted telescope, Appl. Opt., 19(6), 1000–1010 (1980)
A.J. Malvick, E.T. Pearson, Theoretical elastic deformation of a 4-m diameter optical mirror using dynamic relaxation, Appl. Opt., 7(6), 1207–1212 (1968)
J-P. Marioge, C. Mahé, Contribution au contrôle des surfaces planes non traitées, Journ. Mod. Optics, Taylor & Francis publ., 20(6), 413–433 (1973)
T. Mast, G. Nelson, SPIE Proc., 1236, 670 (1990)
J.H. Michell, London Math. Soc. Proc., 31, 100 (1900)
L. Montoya-Martinez, N. Yaitskova, P. Dierickx, K. Dohlen, Mach-Zender wavefront sensor for phasing of segmented telescopes, SPIE Proc., 4840, 564–573 (2003)
L. Montoya-Martinez, M. Reyes, A. Schumacher, E. Hernández, DIPSI: the diffraction image phase sensing instrument for APE, SPIE Proc., 6267, (2006)
C.M. Mountain, R. Kurz, J. Oschmann, GEMINI 8-m telescope project, SPIE Proc., 2199, 41–55 (1994)
J.E. Nelson, J. Lubliner, T.S. Mast, Telescope mirror supports: Mirror deflection on point supports, SPIE Proc., 332, 212 (1982)
J.E. Nelson, J. Lubliner, T.S. Mast, Telescope mirror supports, SPIE Proc., 332, 212–228 (1982)
C. Neufeld, V. Bennet, T. Sebring, V. Krabbendam et al., Development of an active optics system for the SOAR telescope, SPIE Proc., 5489, 1052–1060 (2004)
L. Noethe et al., Proc. ESO Conf. on Progress in Telescope and Instrumentation technologies, ESO, Garching, 195 (1992)
L. Noethe, Active optics in modern large optical telescopes, Progress in Optics, Elsevier publ., 43, 1–13 (2002)
L. Noethe, F. Franza, P. Giorgano, R.N. Wilson, Active Optics II. Results of an experiment with a thin 1 m test mirror, J. Mod. Opt., 35, 1427–1457 (1988)
L. Noethe, private communication (2006)
L. Noethe, Use of minimum-energy modes for modal-active optics corrections of thin meniscus mirrors, J. Mod. Opt., 38(6), 1043–1046 (1991)
D. O’Donoghue, The correction of spherical aberration in the Southern African Large Telescope (SALT), SPIE Proc., 4003, 363–370 (2000)
G. Parodi, G.C. Cerra, J.M. Hill, W.B. Davison, P. Salinari, LBT primary mirror: the final design of the supporting system, SPIE Proc., 2871, 352–359 (1997)
A. Rakich, J.M. Hill, C.J. Biddick, D.L. Miller, T. Leibold, Use of field aberrations in the alignment of the Large Binocular Telescope optics, SPIE Proc., 7012 (2008)
E. Reissner, J. Appl. Mech., 12, A-69 (1945)
E. Reissner, Quart. Appl. Math., 5, 55 (1947)
C. Roddier, F. Roddier, Wavefront reconstruction from defocused images and the testing of ground-based optical telescopes, J. Opt. Soc. Am., A, 10(11), 3433–3436 (1988)
A. Saint-Venant (Barré de), Flamant, Théorie de l’Élasticité des Corps Solides de Clebsch, Dunod edt., Paris, 858–859 (1881). (French transl. of Clebsch’s book including important annotations and complements; sometimes referred to as “Clebsch Annoted Version”)
M. Schneermann, X. Cui et al., SPIE Proc., 1236, 920 (1990)
G. Schwesinger, An analytical determination of the flexure of the 3.5 m primary and 1 m mirror of the ESO New Technology Telescope for passive support and active control, J. Mod. Opt., 35, 1117–1149 (1988)
G. Schwesinger, Comparative assessment of aberrations originating in telescope mirrors from the edge support. Astron. J., 74, 1243–1254 (1969)
G. Schwesinger, E.D. Knol, Comments on a series of articles by L.A. Selke, Appl. Opt., 11, 200–201 (1972)
G. Schwesinger, General characteristics of elastic mirror flexure in theory and applications, Symposium Proc. on Support and Testing of Large Astronomical Mirrors, KPNO, Tucson, 10–23 (1966)
G. Schwesinger, Lateral support of very large telescope mirrors by edge forces only, J. Mod. Opt., 38, 1507–1516 (1991)
G. Schwesinger, Non-distorting lateral edge support of large telescope mirrors, Appl. Opt., 33(7), 1198–1202 (1994)
G. Schwesinger, Optical effect of flexure in vertically mounted precision mirrors, J. Opt. Soc. Am., 44, 417 (1954)
G. Schwesinger, Support configuration and elastic deformation of the 1.5 m prime mirror of the ESO Coudé Auxiliary Telescope (CAT), European Southern Observatory Tech. Rep. 9, Garching (1972)
L.A. Selke, Theoretical elastic deflections of a thick horizontal circular mirror on a double-ring support, Appl. Opt., 9(6), 1453–1456 (1970)
S. Stanghellini, E. Manil, M. Schmid, K.Dost, Design and preliminary tests of the VLT secondary mirror unit, SPIE Proc., 2871, 105–116 (1996)
L. Stepp, Conceptual design of the primary mirror cell assembly, GEMINI Report O-G0025 (1993)
L. Stepp, E. Huang, M. Cho, GEMINI primary mirror support system, SPIE Proc., 2199, 223–238 (1994)
B. Stobie, K. Meiring, D.A.H. Buckley, Design of the Southern African Large Telescope, in Optical Design, Material, Fabrication and Maintenance, SPIE Proc., 4003, 355–362 (2000)
D.-q. Su, S.-t. Jiang, W.-y. Zou et al., Experiment system of thin-mirror active optics, SPIE Proc., 2199, 609–621 (1994)
D-q. Su, W-j. Zou, Z-c. Zhang et al., Experiment system of segmented-mirror active optics, SPIE Proc., 4003, 417–425 (2000)
D.-q. Su, X. Cui, Y.-n. Wang, Z. Yao, LAMOST and its key technology, SPIE Proc., 3352, 76–90 (1998)
D.-q. Su, Y.-n. Wang, A computational study of the star-image displacement due to differential atmospheric refraction during observations, Acta Astrophysica Sinica, 17, 202–212 (1997)
H. Tafelmaier, Dünnschicht-Tecknik Co., www.tafelmaier.de/eng/default.asp
S.P. Timoshenko, in History of Strength of Materials, Dover Publ. Inc., New York, 304 (1983)
S.P. Timoshenko, S. Woinowsky-Krieger, in Theory of Plates and Shells, McGraw-Hill edt., New York, second issue, Sect. 20, 74 (1959)
D.S. Wan, J.P.R. Angel, R.E. Parks, Mirror deflection on multiple axial supports, Appl. Opt., 28, 354–362 (1989)
R.N. Wilson, F. Franza, L. Noethe, Active optics I. A system for optimizing the optical quality and reducing the costs of large telescopes, J. Mod. Opt., 34, 485–509 (1987)
R.N. Wilson, F. Franza, L. Noethe, G. Andreoni, Active Optics IV. Set-up and performance of the optics of the ESO New Technology Telescope (NTT) in the observatory, J. Mod. Opt., 38, 219–243 (1991)
R.N. Wilson, F. Franza, P. Giordano, L. Noethe, M. Tarenghi, Active Optics III. Final results with the 1 m test mirror and NTT 3.56 m primary in the workshop, J. Mod. Opt., 36, 1415–1425 (1989)
R.N. Wilson, Reflecting Telescope Optics II, Springer-Verlag edt., New York, (1999)
S. Woinowsky-Krieger, Ingr. Arch., 4, 305 (1933)
R.W. Wood, Astrophys. J., 29, 164 (1909)
www.telescopengineering.com/company/DmitriMaksutov.html
N. Yaitskova, K. Dohlen, P. Dierickx, Analytical study of diffraction effects in extremely large segmented telescopes, JOSA A, 20(8), 1563–1575 (2003)
N. Yaitskova, K. Dohlen, Tip-tilt error for extremely large segmented telescopes: detailed theoretical point-spread-function analysis and numerical simulation results, JOSA A, 19(7), 1274–1285 (2002)
N. Yaitskova, L.-M. Montoya-Martinez, K. Dohlen, P. Dierickx, A Mack-Zender phasing sensor for extremely large segmented telescopes, SPIE Proc., 5489, 1139–1151 (2004)
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Lemaitre, G. (2009). Own Weight Flexure and Figure Control of Telescope Mirrors. In: Astronomical Optics and Elasticity Theory. Astronomy and Astrophysics Library. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68905-8_8
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