Cooke triplet

Last updated
Cooke triplet
Cooke.png
Introduced in1893
AuthorDennis Taylor
Construction3 elements in 3 groups
Aperturef/3.5 (early)
f/2.8 (rare-earth optical glass)

The Cooke triplet is a photographic lens designed and patented in 1893 by Dennis Taylor who was employed as chief engineer by T. Cooke & Sons of York. It was the first lens system that allowed elimination of most of the optical distortion or aberration at the outer edge of the image.[ citation needed ]

Contents

The Cooke triplet is noted for being able to correct the five Seidel aberrations. [1] The compound lens design consists of three air-spaced simple lens elements: two biconvex (positive) lenses surrounding a biconcave (negative) lens in the middle. [2] It is one of the most important objective designs in the history of photography. [2]

Design

Cooke triplet Cooke triplet.JPG
Cooke triplet

According to Taylor, the lens design was derived by considering a cemented achromatic doublet consisting of one thin negative element and one thin positive element, both of equal power; such a doublet would result in a compound lens with zero net power but also a flat field of focus. [lower-alpha 1] However, by separating the elements, the resulting air gap would act as an additional lens element, giving the system a positive overall power while retaining the flat-field characteristic. To correct the oblique aberrations, Taylor recommended splitting one element and mounting them on either side of the remaining element; [3] although he patented versions in which either the negative or positive element was split, in his preferred embodiment, he split the positive element. [4] :103

A Cooke triplet comprises a negative flint glass element in the centre with a positive crown glass element on each side. In this design, the Petzval sum is zero, so the field of focus is flat. In other words, the negative lens can be as strong as the outer two combined, when one measures in dioptres, yet the lens will converge light, because the rays strike the middle element close to the optical axis. The curvature of field is determined by the sum of the dioptres, but the focal length is not.

Impact and production

At the time, the Cooke triplet was a major advancement in lens design. For one wavelength, the design can correct, using only three elements, spherical aberration, coma, astigmatism, field curvature, and distortion. [2] However, Kingslake noted "there is no symmetry to help the designer, and there is no control over distortion", leading to a trial-and-error design process. [4] :104–105 It was surpassed by later designs in high-end cameras, including the double Gauss design, but is still widely used in inexpensive cameras, including variations using aspheric elements, particularly in cell-phone cameras.

The Cooke triplet consists of three separated lenses positioned at the finite distance. It is often considered that the triplet is one of the most important discoveries in the field of photographic objectives

The Cooke triplet optimizations (2002) [2]

T. Cooke & Sons were reluctant to manufacture the lens, possibly because of the difficulty in grinding the strong central negative element, and the design was licensed to Taylor, Taylor and Hobson, who named the product the Cooke triplet. [4] :105

Starting from the early 1900s, the Cooke triplet was adopted by other major optical lens manufacturers and were produced for many decades.

Further development

Arthur Cox noted that anastigmat lenses were "almost exclusively, the logical development of two main types, the symmetrical lens, and the Cooke triplet of H. D. Taylor." [14] :241 One of the first derivatives was the Voigtländer Heliar, developed by Hans Harting in 1900 as a symmetrical modification of the original Cooke triplet. [4] :106 Harting continued to develop the lens, resulting in the Dynar (1903), whose design was later adopted as a new version of the Heliar after World War I. [4] :107–108 Anecdotal evidence indicates that a Heliar was used to take official portraits of Emperor Hirohito. [15] Although the contemporary Zeiss Tessar (1902) is said to be a development of the Cooke triplet, it is more accurately considered a parallel development descended from earlier, four-element designs by Paul Rudolph, including the Protar and Unar. [16] :90

To increase the lens speed, either the rear element was further split into two, as patented by Edward Bausch in 1900 and H.W. Lee as the Speedic in 1924, or a positive meniscus element was inserted into the front air space, as in Ludwig Bertele's enduring Ernostar and Sonnar designs for Ernemann and Carl Zeiss AG, respectively. [4] :108–111

Several of the early lenses used with the Leica camera were derived from the Cooke triplet by splitting one or more of the three elements into a cemented doublet, including the Elmar, Elmarit , Hektor, and Thambar. [4] :113

Application

Binoculars as well as refracting telescopes often use triplets. The same holds for many projection lenses, e.g., for 35 mm slide projectors.

Rudolf Kingslake notes the Hologon is a triplet in which the negative element was split to surround a positive element. [4] :104

The Cooke triplet has provided the basis for additional designs, including a derivative with five lens elements. [17]

See also

Notes

  1. The field of focus is expressed by the Petzval field curvature, also known as Petzval sum. This was defined by the mathematician Joseph Petzval as the sum of the product of the radii of curvature and refractive index for each lens element.
  2. Entry-level normal lens offered for Ihagee Exakta SLR cameras. [5]
  3. After c.1932–35, a fourth element was added to Anticomar lenses, making them more similar to Tessar designs. [6] [7]
  4. Novar lenses were manufactured by Rodenstock or Steinheil  [ de ] for Zeiss Ikon cameras. [8]

Related Research Articles

<span class="mw-page-title-main">Angénieux retrofocus</span> Wide-angle lens for photographic camera

The Angénieux retrofocus photographic lens is a wide-angle lens design that uses an inverted telephoto configuration. The popularity of this lens design made the name retrofocus synonymous with this type of lens. The Angénieux retrofocus for still cameras was introduced in France in 1950 by Pierre Angénieux.

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

The Tessar is a photographic lens design conceived by the German physicist Dr. Paul Rudolph in 1902 while he worked at the Zeiss optical company and patented by Zeiss in Germany; the lens type is usually known as the ZeissTessar. Since its introduction, millions of Tessar and Tessar-derived lenses have been manufactured by Zeiss and other manufacturers, and are still produced as excellent intermediate aperture lenses.

<span class="mw-page-title-main">Voigtländer</span> German optical manufacturer

Voigtländer was a significant long-established company within the optics and photographic industry, headquartered in Braunschweig, Germany, and today continues as a trademark for a range of photographic products.

<span class="mw-page-title-main">Catadioptric system</span> Optical system where refraction and reflection are combined

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.

<span class="mw-page-title-main">Large format lens</span>

Large format lenses are photographic optics that provide an image circle large enough to cover the large format film or plates used in large format cameras.

<span class="mw-page-title-main">Double-Gauss lens</span>

The double Gauss lens is a compound lens used mostly in camera lenses that reduces optical aberrations over a large focal plane.

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

The Zeiss Sonnar is a photographic lens originally designed by Dr. Ludwig Bertele in 1929 and patented by Zeiss Ikon. It was notable for its relatively light weight, simple design and fast aperture.

<span class="mw-page-title-main">Petzval lens</span> First photographic portrait objective lens in the history of photography

The Petzval objective or Petzval lens is the first photographic portrait objective lens in the history of photography. It was developed by the Hungarian mathematics professor Joseph Petzval in 1840 in Vienna, with technical advice provided by Peter Wilhelm Friedrich von Voigtländer. The Voigtländer company went on to build the first Petzval lens in 1840 on behalf of Petzval, whereupon it became known throughout Europe. Later, the optical instruments maker Carl Dietzler in Vienna also produced the Petzval lens.

A dialyte lens is a compound lens design that corrects optical aberrations where the lens elements are widely air-spaced. The design is used to save on the amount of glass used for specific elements or where elements can not be cemented because they have dissimilar curvatures. The word dialyte means "parted", "loose" or "separated".

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

An anastigmat or anastigmatic lens is a photographic lens completely corrected for the three main optical aberrations: spherical aberration, coma, and astigmatism. Early lenses often included the word Anastigmat in their name to advertise this new feature.

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

The Gauss lens is a compound achromatic lens that uses two uncemented elements; in its most basic form, a positive meniscus lens on the object side and a negative meniscus lens on the image side. It was first proposed in 1817 by the mathematician Carl Friedrich Gauss for a refracting telescope design, but was seldom implemented and is better known as the basis for the Double-Gauss lens first proposed in 1888 by Alvan Graham Clark, which is a four-element, four-group compound lens that uses a symmetric pair of Gauss lenses.

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

The Plasmat lens is a widely used and long-established lens type invented by Paul Rudolph in 1918, especially common in large-format photography. It provides high correction of aberrations with a moderate maximum aperture. It is a specific instance of the Dagor type double-meniscus anastigmat. Double-meniscus anastigmats use widely separated positive and negative surfaces, generally thick meniscus lenses, to achieve a flat field. The most basic form is two sharply curved meniscus elements located symmetrically about a stop. Further refinement of the form replaces the two simple meniscus lenses with achromats for chromatic correction. The Dagor type further refines these achromats into triplets with the following design parameters: a high-index, doubly convex (DCX) lens cemented to a medium-index, doubly concave (DCV) lens cemented to a low-index meniscus lens. Up to this point, all refinements have maintained symmetry about the stop. The Plasmat further refines the Dagor form by uncementing the meniscus, allowing for placement away from the first two elements and removing the criterion of symmetry.

The design of photographic lenses for use in still or cine cameras is intended to produce a lens that yields the most acceptable rendition of the subject being photographed within a range of constraints that include cost, weight and materials. For many other optical devices such as telescopes, microscopes and theodolites where the visual image is observed but often not recorded the design can often be significantly simpler than is the case in a camera where every image is captured on film or image sensor and can be subject to detailed scrutiny at a later stage. Photographic lenses also include those used in enlargers and projectors.

<span class="mw-page-title-main">Zeiss Biogon</span> Series of photographic camera lenses

Biogon is the brand name of Carl Zeiss for a series of photographic camera lenses, first introduced in 1934. Biogons are typically wide-angle lenses.

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

Ludwig Jakob Bertele was a German optics constructor. His developments received universal recognition and serve as a basis for considerable part of the optical designs used today.

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

Topogon is a wide field, symmetrical photographic lens patented by Robert Richter in 1933 for Carl Zeiss AG. As there are four meniscus elements in four groups, deployed symmetrically around the central aperture, it is considered a double Gauss lens variant.

<span class="mw-page-title-main">History of photographic lens design</span>

The invention of the camera in the early 19th century led to an array of lens designs intended for photography. The problems of photographic lens design, creating a lens for a task that would cover a large, flat image plane, were well known even before the invention of photography due to the development of lenses to work with the focal plane of the camera obscura.

Bessa is the best-known line of folding viewfinder and rangefinder cameras manufactured by Voigtländer, which was a dual-format camera that took 6×9 and 4.5×6 pictures on medium format rollfilm. The Bessa was introduced in 1929 and an improved version incorporating a coupled rangefinder was introduced as the Bessa Rangefinder in 1935; the line was supplemented by the single-format Baby Bessa, which took 4.5×6 and 6×6 pictures, respectively. Production was interrupted by World War II; after the war, the Bessa resumed limited production, but was succeeded by the Bessa I and Bessa II, the latter including a rangefinder. Similar rollfilm cameras manufactured contemporaneously by Voigtländer included the Petito (1924), Rollfilm (1925), Inos (1931), Jubilar (1931), Prominent (1932), and Perkeo.

<span class="mw-page-title-main">Voigtländer Prominent</span> 35mm rangefinder camera

Prominent refers to two distinct lines of rangefinder cameras made by Voigtländer.

References

  1. Kidger, Michael J. (2002). Fundamental Optical Design. SPIE Press. ISBN   9780819439154.
  2. 1 2 3 4 Vasiljević, Darko (2002). "13: The Cooke triplet optimizations". Classical and Evolutionary Algorithms in the Optimization of Optical Systems. Springer US. pp. 187–211. doi:10.1007/978-1-4615-1051-2_13. ISBN   9781461510512.
  3. Taylor, H. Dennis (1923). "Optical designing as an art". Transactions of the Optical Society. 24 (3): 143. doi:10.1088/1475-4878/24/3/302.
  4. 1 2 3 4 5 6 7 8 Kingslake, Rudolf (1989). "7. The Triplet Lens and its Modifications". A History of the Photographic Lens . San Diego: Academic Press. pp. 103–116. ISBN   0-12-408640-3 . Retrieved 22 August 2023.
  5. "E. Ludwig Meritar 50mm f2.9 Review". lens-legend. April 3, 2020. Retrieved 22 August 2023.
  6. "Anticomar | Plaubel". only images. 14 October 2019. Retrieved 22 August 2023.
  7. "Chapter: P" (PDF). lens-club.ru. Retrieved 22 August 2023.
  8. Gubas, Larry (Autumn 1982). "The Super Ikontas" (PDF). Zeiss Historica. Vol. 4, no. 2. Zeiss Historica Society of America. NOVAR: These triplet lenses were made to Stuttgart's specifications by Rodenstock and possibly also by Steinheil. Both firms were located in Munich.
  9. USPatent 568052A,H. D. Taylor,"Lens",issued September 22, 1896
  10. USPatent 716035A,Carl August Hans Harting,"Lens",issued December 16, 1902
  11. USPatent 765006A,Hans Harting,"Lens",issued July 12, 1904
  12. USPatent 1739512A,Horace William Lee,"Photographic Objective",issued December 17, 1929
  13. DEPatent 458499C,Ludwig Bertele,"Photographisches Objektiv",issued April 13, 1928
  14. Cox, Arthur (1966). "Basic Lens Types". Photographic optics: a modern approach to the technique of definition (Thirteenth ed.). London & New York: Focal Press. pp. 233–314. Retrieved 21 August 2023.
  15. "Additional info about the APO-LANTHAR" (PDF). Cosina Voigtländer. Retrieved 21 August 2023.
  16. Kingslake, Rudolf (1989). "6. The First Anastigmats". A History of the Photographic Lens . San Diego: Academic Press. pp. 81–102. ISBN   0-12-408640-3 . Retrieved 22 August 2023.
  17. Sharma, K. D. (1979-12-01). "Design of a new five-element Cooke triplet derivative". Applied Optics. 18 (23): 3933–3937. doi:10.1364/AO.18.003933. ISSN   1559-128X. PMID   20216728.