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[[File:Franklin reflector 24.jpg|thumb|24-inch convertible Newtonian/Cassegrain reflecting telescope on display at the [[Franklin Institute]]]]
A '''reflecting telescope''' (also called a '''reflector''') is a [[telescope]] that uses a single or a combination of [[curved mirror]]s that reflect [[light]] and form an [[image]]. The reflecting telescope was invented in the 17th century by [[Isaac Newton]] as an alternative to the [[refracting telescope]] which, at that time, was a design that suffered from severe [[chromatic aberration]]. Although reflecting telescopes produce other types of [[optical aberration]]s, it is a design that allows for very large diameter [[Objective (optics)|objectives]]. Almost all of the major telescopes used in [[astronomy]] research are reflectors.
From the time of Newton to the 1800s, the mirror itself was made of metal{{snd}}
Reflecting telescopes became extraordinarily popular for astronomy and many famous telescopes, such as the [[Hubble Space Telescope]], and popular amateur models use this design. In addition, the reflection telescope principle was applied to other electromagnetic wavelengths, and for example, [[X-ray telescope]]s also use the reflection principle to make [[image-forming optical system|image-forming optics]].
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{{Main|History of the telescope}}
[[File:
[[Image:Great Telescope, Birr, Offaly 1.jpg|right|thumb|The great telescope of [[Birr Castle]], the [[Leviathan of Parsonstown]]. Modern day remnants of the mirror and support structure.]]
The idea that [[curved mirrors]] behave like lenses dates back at least to [[Alhazen]]'s 11th century treatise on optics, works that had been widely disseminated in Latin translations in [[early modern Europe]].<ref>{{cite book|author=Fred Watson|title=Stargazer: The Life and Times of the Telescope|url=https://books.google.com/books?id=2LZZginzib4C&pg=PA40|year=2007|publisher=Allen & Unwin|isbn=978-1-74176-392-8|page=108}}</ref>
Five years after Gregory designed his telescope and five years before Hooke built the first such Gregorian telescope, [[Isaac Newton]]
Despite the theoretical advantages of the reflector design, the difficulty of construction and the poor performance of the [[speculum metal]] mirrors being used at the time meant it took over 100 years for them to become popular. Many of the advances in reflecting telescopes included the perfection of [[parabolic reflector|parabolic mirror]] fabrication in the 18th century,<ref>Parabolic mirrors were used much earlier, but [[James Short (mathematician)|James Short]] perfected their construction. See {{cite web |url=http://www.astro.lsa.umich.edu/undergrad/Labs/optics/Reflectors.html |title=Reflecting Telescopes (Newtonian Type) |publisher=Astronomy Department, University of Michigan |url-status=dead |archive-url=https://web.archive.org/web/20090131173814/http://www.astro.lsa.umich.edu/undergrad/Labs/optics/Reflectors.html |archive-date=2009-01-31 }}</ref> silver coated glass mirrors in the 19th century (built by [[Léon Foucault]] in 1858),<ref>{{Cite journal|last=Lequeux|first=James|date=2017-01-01|title=The Paris Observatory has 350 years|url=https://ui.adsabs.harvard.edu/abs/2017LAstr.131a..28L|journal=L'Astronomie|volume=131|pages=28–37|bibcode=2017LAstr.131a..28L|issn=0004-6302}}</ref> long-lasting aluminum coatings in the 20th century,<ref>Silvering on a reflecting telescope was introduced by [[Léon Foucault]] in 1857, see [http://www.madehow.com/inventorbios/39/Jean-Bernard-L-on-Foucault.html madehow.com - Inventor Biographies - Jean-Bernard-Léon Foucault Biography (1819–1868)], and the adoption of long lasting aluminized coatings on reflector mirrors in 1932. [http://www.cambridge.org/uk/astronomy/features/amateur/files/p28-4.pdf Bakich sample pages Chapter 2, Page 3 ''"John Donavan Strong, a young physicist at the California Institute of Technology, was one of the first to coat a mirror with aluminum. He did it by thermal vacuum evaporation. The first mirror he aluminized, in 1932, is the earliest known example of a telescope mirror coated by this technique."'']</ref> [[segmented mirror]]s to allow larger diameters, and [[active optics]] to compensate for gravitational deformation. A mid-20th century innovation was [[catadioptric system|catadioptric]] telescopes such as the [[Schmidt camera]], which use both a spherical mirror and a lens (called a corrector plate) as primary optical elements, mainly used for wide-field imaging without spherical aberration.
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[[Image:Gran Telescopio Canarias.jpg|right|thumb|200px|[[Gran Telescopio Canarias]]]]
A curved [[primary mirror]] is the reflector telescope's basic optical element that
The primary mirror in most modern telescopes is composed of a solid glass [[Cylinder (geometry)|cylinder]] whose front surface has been ground to a [[Spherical reflector|spherical]] or [[Paraboloid reflector|parabolic]] shape. A thin layer of [[aluminum]] is [[vacuum deposition|vacuum deposited]] onto the mirror, forming a highly reflective [[first surface mirror]].
Some telescopes use primary mirrors which are made differently. Molten glass is rotated to make its surface paraboloidal, and is kept rotating while it cools and solidifies. (See [[Rotating furnace]].) The resulting mirror shape approximates a desired paraboloid shape that requires minimal grinding and polishing to reach the exact figure needed.<ref>{{cite book|author1=Ray Villard|author2=Leonello Calvetti|author3=Lorenzo Cecchi|title=Large Telescopes: Inside and Out|url=https://books.google.com/books?id=BA4riazAF5sC&pg=PA21|year=2001|publisher=The Rosen Publishing Group, Inc|isbn=978-0-8239-6110-8|page=21}}</ref>
===Optical errors===
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{{See also|Schmidt–Newton telescope}}
The '''[[Newtonian telescope]]''' was the first successful reflecting telescope, completed by [[Isaac Newton]] in 1668. It usually has a paraboloid primary mirror but at [[F-number|focal ratio]]s of about f/10 or longer a spherical primary mirror can be sufficient for high visual resolution. A flat secondary mirror reflects the light to a focal plane at the side of the top of the telescope tube.
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{{Main|Cassegrain reflector}}
The '''
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====Dall–Kirkham====
{{See also|Modified Dall–Kirkham telescope}}
[[File:Large 1987 0528 0001 .jpg|thumb|Dall-Kirkham reflecting telescope, built by Horace Edward Dall]]
The '''Dall–Kirkham''' Cassegrain telescope's design was created by Horace Dall in 1928 and took on the name in an article published in ''[[Scientific American]]'' in 1930 following discussion between amateur astronomer Allan Kirkham and Albert G. Ingalls, the magazine editor at the time. It uses a concave [[ellipse|elliptical]] primary mirror and a convex [[spherical]] secondary. While this system is easier to grind than a classic Cassegrain or Ritchey–Chrétien system, it does not correct for off-axis coma. Field curvature is actually less than a classical Cassegrain. Because this is less noticeable at longer [[focal ratio]]s, Dall–Kirkhams are seldom faster than f/15.
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====Schiefspiegler====
A variant of the Cassegrain, the [[Schiefspiegler]] telescope ("skewed" or "oblique reflector") uses tilted mirrors to avoid the secondary mirror casting a shadow on the primary. However, while eliminating diffraction patterns this leads to an increase in coma and astigmatism. These defects become manageable at large focal ratios — most Schiefspieglers use f/15 or longer, which tends to restrict useful
A number of variations are common, with varying numbers of mirrors of different types. The Kutter (named after its inventor [[Anton Kutter]]) style uses a single concave primary, a convex secondary and a plano-convex lens between the secondary mirror and the focal plane, when needed (this is the case of the ''catadioptric Schiefspiegler'').
One variation of a multi-schiefspiegler uses a concave primary, convex secondary and a parabolic tertiary. One of the interesting aspects of some Schiefspieglers is that one of the mirrors can be involved in the light path twice — each light path reflects along a different meridional path.
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{{Main|Liquid-mirror telescope}}
One design of telescope uses a rotating mirror consisting of a liquid metal in a tray that is spun at constant speed. As the tray spins, the liquid forms a paraboloidal surface of essentially unlimited size. This allows making very big telescope mirrors (over 6 metres), but
==Focal planes==
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====Coudé====
Adding further optics to a Nasmyth-style telescope to deliver the light (usually through the [[declination]] axis) to a fixed focus point that does not move as the telescope is reoriented gives a '''coudé''' focus (from the French word for elbow).<ref name="The Coude Focus">{{cite web|url=http://mthamilton.ucolick.org/public/tele_inst/3m/coude.html|title=The Coude Focus}}</ref> The coudé focus gives a narrower field of view than a Nasmyth focus<ref name="The Coude Focus"/> and is used with very heavy instruments that do not need a wide field of view. One such application is high-resolution [[spectrograph]]s that have large collimating mirrors (ideally with the same diameter as the telescope's primary mirror) and very long focal lengths. Such instruments could not withstand being moved, and adding mirrors to the light path to form a ''coudé train'', diverting the light to a fixed position to such an instrument housed on or below the observing floor (and usually built as an unmoving integral part of the observatory building) was the only option. The [[60-inch Hale telescope]] (1.5 m), [[Hooker Telescope]], [[200-inch Hale Telescope]], [[Shane Telescope]], and [[Harlan J. Smith Telescope]] all were built with coudé foci instrumentation. The development of [[echelle grating|echelle]] spectrometers allowed high-resolution spectroscopy with a much more compact instrument, one which can sometimes be successfully mounted on the Cassegrain focus.
===Fibre-fed spectrographs===
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* [http://www.nms.ac.uk/explore/stories/science-and-technology/reflecting-telescope/telescopes/james-gregory/ Who was James Gregory? Reflecting Telescopes, Explore, National Museums Scotland] {{Webarchive|url=https://web.archive.org/web/20170117064000/http://www.nms.ac.uk/explore/stories/science-and-technology/reflecting-telescope/telescopes/james-gregory/ |date=2017-01-17 }}
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