Catadioptric system

Last updated
A 150 mm aperture catadioptric Maksutov telescope Maksutov 150mm.jpg
A 150 mm aperture catadioptric Maksutov telescope

A catadioptric optical system is one where refraction and reflection are combined in an optical system, usually via lenses (dioptrics) and curved mirrors (catoptrics). Catadioptric combinations are used in focusing systems such as searchlights, headlamps, early lighthouse focusing systems, optical telescopes, microscopes, and telephoto lenses. Other optical systems that use lenses and mirrors are also referred to as "catadioptric", such as surveillance catadioptric sensors.

Contents

Early catadioptric systems

Catadioptric combinations have been used for many early optical systems. In the 1820s, Augustin-Jean Fresnel developed several catadioptric lighthouse reflector versions of his Fresnel lens. [1] Léon Foucault developed a catadioptric microscope in 1859 to counteract aberrations of using a lens to image objects at high power. [2] In 1876 a French engineer, A. Mangin, invented what has come to be called the Mangin mirror, a concave glass reflector with the silver surface on the rear side of the glass. The two surfaces of the reflector have different radii to correct the aberration of the spherical mirror. Light passes through the glass twice, making the overall system act like a triplet lens. [3] Mangin mirrors were used in searchlights, where they produced a nearly true parallel beam. Many Catadioptric telescopes use negative lenses with a reflective coating on the backside that are referred to as “Mangin mirrors”, although they are not single-element objectives like the original Mangin, and some even predate the Mangin's invention. [4]

Catadioptric telescopes

Catadioptric telescopes are optical telescopes that combine specifically shaped mirrors and lenses to form an image. This is usually done so that the telescope can have an overall greater degree of error correction than their all-lens or all-mirror counterparts, with a consequently wider aberration-free field of view. Their designs can have simple all-spherical surfaces and can take advantage of a folded optical path that reduces the mass of the telescope, making them easier to manufacture. Many types employ “correctors”, a lens or curved mirror in a combined image-forming optical system so that the reflective or refractive element can correct the aberrations produced by its counterpart.

Catadioptric dialytes

Catadioptric dialytes are the earliest type of catadioptric telescope. They consist of a single-element refracting telescope objective combined with a silver-backed negative lens (similar to a Mangin mirror). The first of these was the Hamiltonian telescope patented by W. F. Hamilton in 1814. The Schupmann medial telescope designed by German optician Ludwig Schupmann near the end of the 19th century placed the catadioptric mirror beyond the focus of the refractor primary and added a third correcting/focusing lens to the system.

Full-aperture correctors

There are several telescope designs that take advantage of placing one or more full-diameter lenses (commonly called a "corrector plate") in front of a spherical primary mirror. These designs take advantage of all the surfaces being "spherically symmetrical" [5] and were originally invented as modifications of mirror based optical systems (reflecting telescopes) to allow them to have an image plane relatively free of coma or astigmatism so they could be used as astrographic cameras. They work by combining a spherical mirror's ability to reflect light back to the same point with a large lens at the front of the system (a corrector) that slightly bends the incoming light, allowing the spherical mirror to image objects at infinity. Some of these designs have been adapted to create compact, long-focal-length catadioptric cassegrains.

Schmidt corrector plate

The Schmidt corrector, the first full-diameter corrector plate, was used in Bernhard Schmidt's 1931 Schmidt camera. The Schmidt camera is a wide-field photographic telescope, with the corrector plate at the center of curvature of the primary mirror, producing an image at a focus inside the tube assembly at the prime focus where a curved film plate or detector is mounted. The relatively thin and lightweight corrector allows Schmidt cameras to be constructed in diameters up to 1.3 m. The corrector's complex shape takes several processes to make, starting with a flat piece of optical glass, placing a vacuum on one side of it to curve the whole piece, then grinding and polishing the other side flat to achieve the exact shape required to correct the spherical aberration caused by the primary mirror. The design has lent itself to many Schmidt variants.

Popular sub-types
Light path in a Schmidt-Cassegrain Schmidt-Cassegrain-Telescope.svg
Light path in a Schmidt–Cassegrain
  • Schmidt–Cassegrain telescopes are one of the most popular commercial designs on the amateur astronomical market, [6] having been mass-produced since the 1960s. The design replaces the Schmidt Camera film holder with a Cassegrain secondary mirror, making a folded optical path with a long focal length and a narrow field of view.

Meniscus corrector shell

The idea of replacing the complicated Schmidt corrector plate with an easy-to-manufacture full-aperture spherical meniscus lens (a meniscus corrector shell) to create a wide-field telescope occurred to at least four optical designers in early 1940s war-torn Europe, including Albert Bouwers (1940), Dmitri Dmitrievich Maksutov (1941), K. Penning, and Dennis Gabor (1941). [7] [8] Wartime secrecy kept these inventors from knowing about each other's designs, leading to each being an independent invention. Albert Bouwers built a prototype meniscus telescope in August 1940 and patented it in February 1941. It used a spherically concentric meniscus and was only suitable as a monochromatic astronomical camera. In a later design he added a cemented doublet to correct chromatic aberration. Dmitri Maksutov built a prototype for a similar type of meniscus telescope, the Maksutov telescope, in October 1941 and patented it in November of that same year. [9] His design corrected spherical and chromatic aberrations by placing a weak negative-shaped meniscus corrector closer to the primary mirror.

Popular sub-types
Light path in a meniscus telescope (Maksutov-Cassegrain) Maksutov-Cassegrain-Telescope.svg
Light path in a meniscus telescope (Maksutov–Cassegrain)
  • Maksutov–Cassegrain telescopes are the most commonly seen design that uses a meniscus corrector, a variant of the Maksutov telescope. It has a silvered "spot" secondary on the corrector, making a long focal length but compact (folded optical path) telescope with a narrow field of view. This design idea appeared in Dmitri Maksutov's 1941 notes and was originally developed in commercial designs by Lawrence Braymer ( Questar, 1954), and John Gregory (1955 patent [10] ). The combination of the corrector with the silvered secondary spot makes Maksutov–Cassegrains low-maintenance and ruggedized since they can be air-sealed and fixed in alignment (collimation).

Houghton corrector lens

Houghton doublet corrector design equations - special case symmetric design. Lh design equations s.gif
Houghton doublet corrector design equations – special case symmetric design.

The Houghton telescope or Lurie–Houghton telescope is a design that uses a wide compound positive-negative lens over the entire front aperture to correct spherical aberration of the main mirror. If desired, the two corrector elements can be made with the same type of glass, since the Houghton corrector's chromatic aberration is minimal.

The corrector is thicker than a Schmidt-Cassegrain's front corrector, but much thinner than a Maksutov meniscus corrector. All the lens surfaces and the mirror's surface are spheroidal, greatly easing amateur construction.

Sub-aperture correctors

Light path in an Argunov Cassegrain telescope Diagram Reflector ArgunovCassegrain.svg
Light path in an Argunov Cassegrain telescope

In sub-aperture corrector designs, the corrector elements are usually at the focus of a much larger objective. These elements can be both lenses and mirrors, but since multiple surfaces are involved, achieving good aberration correction in these systems can be very complex. [4] Examples of sub-aperture corrector catadioptric telescopes include the Argunov–Cassegrain telescope, the Klevtsov–Cassegrain telescope and sub-aperture corrector Maksutovs, which use as a "secondary mirror" an optical group consisting of lens elements and sometimes mirrors designed to correct aberration, as well as Jones-Bird Newtonian telescopes, which use a spherical primary mirror combined with a small corrector lens mounted near the focus. [11]

Photographic catadioptric lenses

Example of a catadioptric lens using rear surfaced "mangin mirrors" (Minolta RF Rokkor-X 250mm f/5.6) MinoltaRFRokkorX250f56text.svg
Example of a catadioptric lens using rear surfaced "mangin mirrors" (Minolta RF Rokkor-X 250mm f/5.6)

Various types of catadioptric systems are also used in camera lenses known alternatively as catadioptric lenses (CATs), reflex lenses, or mirror lenses. These lenses use some form of the cassegrain design which greatly reduces the physical length of the optical assembly, partly by folding the optical path, but mostly through the telephoto effect of the convex secondary mirror which multiplies the focal length many times (up to 4 to 5 times). [12] This creates lenses with focal lengths from 250 mm up to and beyond 1000 mm that are much shorter and compact than their long-focus or telephoto counterparts. Moreover, chromatic aberration, a major problem with long refractive lenses, and off-axis aberration, a major problem with reflective telescopes, is almost completely eliminated by the catadioptric system, making the image they produce suitable to fill the large focal plane of a camera.

An example of 'iris blur' or bokeh produced by a catadioptric lens, behind an in-focus light Catadioptric system bokeh christmas tree lights.jpg
An example of 'iris blur' or bokeh produced by a catadioptric lens, behind an in-focus light

Catadioptric lenses do, however, have several drawbacks. The fact that they have a central obstruction means they cannot use an adjustable diaphragm to control light transmission. [13] This means the lens's F-number value is fixed to the overall designed focal ratio of the optical system (the diameter of the primary mirror divided into the focal length). The inability to stop down the lens results in the catadioptric lens having a short depth of field. Exposure is usually adjusted by the placement of neutral density filters on the front or rear of the lens. Their modulation transfer function shows low contrast at low spatial frequencies. Finally, their most salient characteristic is the annular shape of defocused areas of the image, giving a doughnut-shaped 'iris blur' or bokeh, caused by the shape of the entrance pupil.

Several companies made catadioptric lenses throughout the later part of the 20th century. Nikon (under the Mirror-Nikkor and later Reflex-Nikkor names) and Canon both offered several designs, such as 500 mm 1:8 and 1000 mm 1:11. Smaller companies such as Tamron, Samyang, Vivitar, and Opteka also offered several versions, with the three latter of these brands still actively producing a number of catadioptric lenses for use in modern system cameras. Sony (formerly Minolta) offered a 500 mm catadioptric lens for their Alpha range of cameras. The Sony lens had the distinction of being the only reflex lens manufactured by a major brand to feature auto-focus (aside from the identical Minolta-manufactured lens that preceded Sony's production).

See also

Related Research Articles

<span class="mw-page-title-main">Ritchey–Chrétien telescope</span> Specialized Cassegrain telescope

A Ritchey–Chrétien telescope is a specialized variant of the Cassegrain telescope that has a hyperbolic primary mirror and a hyperbolic secondary mirror designed to eliminate off-axis optical errors (coma). The RCT has a wider field of view free of optical errors compared to a more traditional reflecting telescope configuration. Since the mid 20th century, a majority of large professional research telescopes have been Ritchey–Chrétien configurations; some well-known examples are the Hubble Space Telescope, the Keck telescopes and the ESO Very Large Telescope.

<span class="mw-page-title-main">Optical telescope</span> Telescope for observations with visible light

An optical telescope is a telescope that gathers and focuses light mainly from the visible part of the electromagnetic spectrum, to create a magnified image for direct visual inspection, to make a photograph, or to collect data through electronic image sensors.

<span class="mw-page-title-main">Reflecting telescope</span> Telescopes which utilize curved mirrors to form an image

A reflecting telescope is a telescope that uses a single or a combination of curved mirrors 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 aberrations, it is a design that allows for very large diameter objectives. Almost all of the major telescopes used in astronomy research are reflectors. Many variant forms are in use and some employ extra optical elements to improve image quality or place the image in a mechanically advantageous position. Since reflecting telescopes use mirrors, the design is sometimes referred to as a catoptric telescope.

<span class="mw-page-title-main">Newtonian telescope</span> Type of reflecting telescope

The Newtonian telescope, also called the Newtonian reflector or just a Newtonian, is a type of reflecting telescope invented by the English scientist Sir Isaac Newton, using a concave primary mirror and a flat diagonal secondary mirror. Newton's first reflecting telescope was completed in 1668 and is the earliest known functional reflecting telescope. The Newtonian telescope's simple design has made it very popular with amateur telescope makers.

<span class="mw-page-title-main">Coma (optics)</span> Aberration inherent to certain optical designs or due to imperfection in the lens

In optics, the coma, or comatic aberration, in an optical system refers to aberration inherent to certain optical designs or due to imperfection in the lens or other components that results in off-axis point sources such as stars appearing distorted, appearing to have a tail (coma) like a comet. Specifically, coma is defined as a variation in magnification over the entrance pupil. In refractive or diffractive optical systems, especially those imaging a wide spectral range, coma can be a function of wavelength, in which case it is a form of chromatic aberration.

<span class="mw-page-title-main">Apochromat</span>

An apochromat, or apochromatic lens (apo), is a photographic or other lens that has better correction of chromatic and spherical aberration than the much more common achromat lenses.

<span class="mw-page-title-main">Schmidt camera</span> Astrophotographic telescope

A Schmidt camera, also referred to as the Schmidt telescope, is a catadioptric astrophotographic telescope designed to provide wide fields of view with limited aberrations. The design was invented by Bernhard Schmidt in 1930.

<span class="mw-page-title-main">Maksutov telescope</span> Catadioptric telescope design

The Maksutov is a catadioptric telescope design that combines a spherical mirror with a weakly negative meniscus lens in a design that takes advantage of all the surfaces being nearly "spherically symmetrical". The negative lens is usually full diameter and placed at the entrance pupil of the telescope. The design corrects the problems of off-axis aberrations such as coma found in reflecting telescopes while also correcting chromatic aberration. It was patented in 1941 by Soviet optician Dmitri Dmitrievich Maksutov. Maksutov based his design on the idea behind the Schmidt camera of using the spherical errors of a negative lens to correct the opposite errors in a spherical primary mirror. The design is most commonly seen in a Cassegrain variation, with an integrated secondary, that can use all-spherical elements, thereby simplifying fabrication. Maksutov telescopes have been sold on the amateur market since the 1950s.

<span class="mw-page-title-main">Schmidt–Cassegrain telescope</span> Type of catadioptric telescope

The Schmidt–Cassegrain is a catadioptric telescope that combines a Cassegrain reflector's optical path with a Schmidt corrector plate to make a compact astronomical instrument that uses simple spherical surfaces.

<span class="mw-page-title-main">Vixen (telescopes)</span> Japanese company

Vixen is a Japanese company that makes telescopes, binoculars, spotting scopes and accessories for their products.

<span class="mw-page-title-main">Cassegrain reflector</span> Combination of concave and convex mirrors

The Cassegrain reflector is a combination of a primary concave mirror and a secondary convex mirror, often used in optical telescopes and radio antennas, the main characteristic being that the optical path folds back onto itself, relative to the optical system's primary mirror entrance aperture. This design puts the focal point at a convenient location behind the primary mirror and the convex secondary adds a telephoto effect creating a much longer focal length in a mechanically short system.

<span class="mw-page-title-main">Schmidt–Newtonian telescope</span> Type of catadioptric telescope

A Schmidt–Newtonian telescope or Schmidt–Newton telescope is a catadioptric telescope that combines elements from both the Schmidt camera and the Newtonian telescope. In this telescope design, a spherical primary mirror is combined with a Schmidt corrector plate, which corrects the spherical aberration and holds the secondary mirror. The resulting system has less coma and diffraction effects than a Newtonian telescope with a parabolic mirror and a "spider" secondary mirror support. The design uses a 45° flat secondary mirror to view the image, as in a standard Newtonian telescope.

<span class="mw-page-title-main">Argunov–Cassegrain telescope</span> Catadioptric telescope design

The Argunov–Cassegrain telescope is a catadioptric telescope design first introduced in 1972 by P. P. Argunov. All optics are spherical, and the classical Cassegrain secondary mirror is replaced by a sub-aperture secondary corrector group consisting of three air-spaced elements, two lenses and a Mangin mirror.

<span class="mw-page-title-main">Lurie–Houghton telescope</span>

The Houghton telescope or Lurie–Houghton telescope is a catadioptric telescope. Houghton's original design uses a two-lens corrector at the front of the telescope and a spherical mirror at the back; it was patented in 1944. Instead of the hard to make intricately shaped compound curve Schmidt corrector plate, or the heavy Maksutov-type meniscus corrector lens, the Houghton double-lens corrector is relatively easy to make.

<span class="mw-page-title-main">Mangin mirror</span> Catadioptric reflector for search lights

In optics, a Mangin mirror is a negative meniscus lens with the reflective surface on the rear side of the glass forming a curved mirror that reflects light without spherical aberration if certain conditions are met. This reflector was invented in 1874 by a French officer Alphonse Mangin as an improved catadioptric reflector for search lights and is also used in other optical devices.

Albert A. Bouwers (1893–1972) was a Dutch optical engineer. He is known for developing and working with X-rays and various optical technologies as a high-level researcher at Philips research labs. He is lesser known for patenting in 1941 a catadioptric meniscus telescope design similar to but slightly predating the Maksutov telescope.

<span class="mw-page-title-main">Klevtsov–Cassegrain telescope</span> Type of catadioptric telescope

The Klevtsov–Cassegrain telescope is a type of catadioptric Cassegrain telescope that uses a spherical primary mirror and a sub-aperture secondary corrector group composed of a small lens and a Mangin mirror.

<span class="mw-page-title-main">Meniscus corrector</span>

A meniscus corrector is a negative meniscus lens that is used to correct spherical aberration in image-forming optical systems such as catadioptric telescopes. It works by having the equal but opposite spherical aberration of the objective it is designed to correct.

<span class="mw-page-title-main">Three-mirror anastigmat</span> Reflecting telescope design

A three-mirror anastigmat is an anastigmat telescope built with three curved mirrors, enabling it to minimize all three main optical aberrations – spherical aberration, coma, and astigmatism. This is primarily used to enable wide fields of view, much larger than possible with telescopes with just one or two curved surfaces.

References

  1. The Encyclopædia Britannica, 1911
  2. William Tobin, The life and science of Léon Foucault: the man who proved the earth rotates William Tobin, page 214
  3. Optical design fundamentals for infrared systems By Max J. Riedl
  4. 1 2 - Vladimir Sacek, telescope-optics.net, Notes on AMATEUR TELESCOPE OPTICS, CATADIOPTRIC TELESCOPES, 10.2.1
  5. John J. G. Savard, "Miscellaneous Musings"
  6. Sacek, Vladimir (2006-07-14). "11.5. Schmidt–Cassegrain telescope (SCT)". Telescope Optics. Vladimir Sacek. Retrieved 2009-07-05.
  7. Lens design fundamentals, by Rudolf Kingslake, page 313 a catadioptric non-monocentric design
  8. Handbook of Optical Systems, Survey of Optical Instruments, by Herbert Gross, Hannfried Zügge, Fritz Blechinger, Bertram Achtner, page 806
  9. "Dmitri Maksutov: The Man and His Telescopes By Eduard Trigubov and Yuri Petrunin". Archived from the original on 2012-02-22. Retrieved 2009-08-24.
  10. patent PDF, DISTRIBUTED BY: National Technical Information Service U. S Archived 2011-06-04 at the Wayback Machine
  11. 10.1.2. Sub-aperture corrector examples: Single-mirror systems - Jones-Bird
  12. Astronomy hacks By Robert Bruce Thompson, Barbara Fritchman Thompson, page 59
  13. R. E. Jacobson, Sidney F. Ray The manual of photography, page 95