Anastigmat

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 (''Doppel-Anastigmat'', ''Voigtländer Anastigmat Skopar'', etc.).

History

Early designs

The first ''Anastigmat'' was designed by Paul Rudolph for the German firm Carl Zeiss AG in 1890 and marketed as the ''Protar''; it consisted of four elements in two groups, as an asymmetric arrangement of two cemented achromatic lens doublets and was improved to a five-element, two-group design in 1891, substituting a cemented triplet for the rear group.

In 1892, the Swiss mathematician Emil von Höegh designed the ''Dagor'' (aka ''Double Anastigmatic Goerz'') for Goerz, a symmetric lens with six elements in two groups, made of two cemented triplets. The ''Orthostigmat'' (1893) and ''Collinear'' (1895) were developed at around the same time by Steinheil and Voigtländer, respectively, and had a similar symmetric construction with six elements in two groups. At about the same time, Rudolph created the ''Double Protar'' (1894/1895), which consisted of eight elements in two groups.

The ''Cooke Triplet'' was developed by H. Dennis Taylor for T. Cooke & Sons in York and patented in 1893. Cooke was not interested in manufacturing the lens, so a smaller workshop in Leicester, Taylor, Taylor and Hobson (no relation), was contracted to build the lens, bearing the Cooke brand. Its relatively simple three-element, three-group construction gave it a cost advantage over prior designs.

J H Dallmeyer Ltd first released a series of anastigmatic lenses consisting of multiple cemented achromats in 1895, designed by Hugh L. Aldis, marketed as the ''Stigmatic''. The first ''Stigmatic'' was a six-element, three-group design. Aldis simplified the lens to a three-element, two-group design after leaving Dallmeyer in 1901.

Later development

Zeiss would withdraw the ''Anastigmat'' from the market in favor of the ''Unar'' and ''Tessar'' types, developed in the early 1900s. Rudolph's ''Unar'' (1899) was derived from the earlier ''Protar'' but used four elements in four groups, eliminating the cemented interfaces. This in turn was improved by returning to the cemented rear group, resulting in the enduring four-element, three-group ''Tessar'' design (1902). Although some have speculated the ''Tessar'' was influenced by the earlier Cooke ''Triplet'', Rudolf Kingslake emphatically declared the ''Tessar'' design can clearly be traced from the ''Protar'' through the ''Unar''.

At about the same time the ''Unar'' was released by Zeiss, von Höegh modified the ''Dagor'' as a symmetric lens with four elements in four groups, released by Goertz as the ''Type B'' in 1899 and later renamed ''Celor'' and ''Syntor''. The so-called dialyte-type lens consists of a pair of air-spaced two-element achromats arranged back-to-back, and later was developed into the Goertz ''Artar'' by W. Zschokke. The ''Dagor'' also was modified by E. Arbeit who removed one cemented surface, leaving it as a six-element, four-group design. The Schulz and Billerbeck company of Potsdam released Arbeit's modification as the ''Euryplan'' in 1903, generically known as the air-spaced ''Dagor''. Paul Rudolph would go on to release a similar design for Hugo Meyer as the ''Plasmat'' in 1918.

The Cooke Triplet spawned a separate family of anastigmat lens designs, including the Voigtländer ''Heliar'' (designed by Hans Harting, 1900), Ludwig Bertele's ''Ernostar'' (1919), and the later Zeiss ''Sonnar'' (Bertele, 1929).

Design

All modern photographic lenses are close to being anastigmatic, meaning that they can create extremely sharp images for all objects across their field of view; the underlying limitation is that the lens can deliver the anastigmatic performance only up to a maximum aperture (i.e., it has a minimum F-number) and only within a given working distance (focusing range). Note that all optical aberrations (except spherical aberration) become more pronounced towards the edges of the field of view, even with high-grade anastigmatic lenses.

Anastigmatic performance is accomplished by a proper combination of multiple lenses (optical surfaces), usually three or more. Aspheric lenses can minimize the number of surfaces required and thus the bulk and weight of the composite lens; however, aspheric surfaces are more costly to manufacture than spherical and other conic section (hyperbolic, parabolic) ones. Many high-end catoptric telescopes are three-mirror anastigmat, while the corresponding catadioptric telescopes use two mirrors (reflector) and one lens (refractor) to accomplish the same result.

See also

*Stigmator, for the astigmatism correction of electron beams

References

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Photographic lens designs