Abbe numbers are only a useful measure of dispersion for visible light, and for other wavelengths, or for higher precision work, the group velocity dispersion is used.

Abbe numbers are used to calculate the necessary focal lengths of achromatic doublet lenses to minimize chromatic aberration.

A material's dispersion is measured by its Abbe number, V, with low Abbe numbers corresponding to strong dispersion.

Since, and the Abbe numbers are positive-valued, the power of the second element in the doublet is negative when the first element is positive.

Optically, borosilicate glasses are crown glasses with low dispersion ( Abbe numbers around 65 ) and relatively low refractive indices ( 1. 51 – 1. 54 across the visible range ).

Alternate definitions of the Abbe number are used in some contexts.

Math., 1858 ) and Ernst Abbe showed that the properties of these reproductions, i. e. the relative position and magnitude of the images, are not special properties of optical systems, but necessary consequences of the supposition ( in Abbe ) of the reproduction of all points of a space in image points ( Maxwell assumes a less general hypothesis ), and are independent of the manner in which the reproduction is effected.

These aberrations are avoided if, according to Abbe, the sine condition, sin u ' 1 / sin u1 = sin u ' 2 / sin u2, holds for all rays reproducing the point O.

Polycarbonate and Trivex lenses are the lightest and most shatter-resistant, making them the best for impact protection, though polycarbonate offers poor optics due to high dispersion, having a low Abbe number of 31.

While the roots of Graphoanalysis are in the writings of Abbe Michon, the influence of Crépieux-Jamin, and other European graphologers are visible, very little material published by Bunker, The American Grapho Analysis Society, or The International Graphoanalysis Society has acknowledged these roots.

Flint glasses are arbitrarily defined as having an Abbe number of 50 to 55 or less.

Abbe Faria and Emile Coue are the forerunners of Schultz.

With green light around 500 nm the Abbe limit is 250 nm which is large compared to most nanostructures or biological cells which have sizes on the order of 1μm and internal organelles which are much smaller.

Among the individuals who have attended, graduated, and taught at the University are astronaut Ellen S. Baker, American journalist Wolf Blitzer, CEO and founder of the History Channel Abbe Raven, CEO of Paramount Pictures Brad Grey, CEO and founder of Baidu Robin Li, Pulitzer Prize-winner Tom Toles, Nobel Prize-winners, Ronald Coase, Herbert A. Hauptman and Sir John Carew Eccles.

Abbe was in the camp of the wide aperturists arguing that microscopic resolution is ultimately limited the aperture of the optics, but also argued that depending on application there are other parameters that should be weighted over the aperture in the design of objectives.

It also contains Lake Laitali, Lake Gummare and Lake Bario, all of which drain into Lake Abbe and are situated along the Dikhil-Ethiopia border.

By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Abbe.

There are four main types of fluid refractometers: traditional handheld refractometers, digital handheld refractometers, Abbe refractometers, and inline process refractometers.

In the first are the Abbe based instruments in which a drop of the sample solution is placed on a prism ; the result is observed through an eyepiece.

Among his illustrations are fifty-eight designs engraved by Cornelis Bloemaert for the Abbe de Marolles ' " Tableaux du Temple des Muses ".

Some of the other artists who have described themselves as digital storytellers are the late Dana Atchley, his collaborator Joe Lambert, Abbe Don, Brenda Laurel, and Pedro Meyer.

This hole is termed the stop or diaphragm ; Abbe used the term aperture stop for both the hole and the limiting margin of the lens.

The method of hypnosis used by Faria is command, following expectancy. The theory of Abbe Faria is now known as Fariism

Abbe invented the Abbe condenser, used for microscope illumination.

This limitation was described in the 19th century by Ernst Abbe and limits an optical microscope's resolution to approximately half of the wavelength of the light used.

* Abbe – Koenig prism, reflecting prism used to invert an image, named after Albert König ( 1871 − 1946 )

A Porro – Abbe prism ( sometimes called a Abbe – Porro prism ), named for Ignazio Porro and Ernst Abbe, is a type of reflection prism used in some optical instruments to alter the orientation of an image.

An Abbe – Koenig prism is a type of reflecting prism, used to invert an image ( rotate it by 180 °).

Influences of selected glass component additions on the Abbe number of a specific base glass.

At the end of the 19th century, with the building of the Saal Railway ( Saalbahn ) along the river Saale from Halle / Leipzig to Nuremberg, Jena became a centre for precision machinery, optics and glass making, with the formation of the world famous companies Carl Zeiss Jena and Schott Jenaer Glaswerk, by Carl Zeiss, Ernst Abbe and Otto Schott.

They differ in the shape of the included lens elements as well as in the optical properties of their glass ( most notably in their optical dispersion or Abbe number ).

The choice of glass gives the mean refractive index, often written as ( for the refractive index at the Fraunhofer " d " spectral line wavelength ), and the Abbe number ( for the reciprocal of the glass dispersion ).

Flint glass is optical glass that has relatively high refractive index and low Abbe number ( high dispersion ).

Abbe then met Otto Schott, a thirty-year-old glass chemist who had just received his doctorate.

They collaborated and in 1886, produced a new type of glass that could fully use the Abbe sine condition.

Abbe was the first to define the term Numerical Aperture, as the sine of the half angle multiplied by the refractive index of the medium filling the space between the cover glass and front lens.

It is also designated as 517642 glass after its 1. 517 refractive index and 64. 2 Abbe number.

* Flint glass, an optical glass that has relatively high refractive index and low Abbe number

During the first year of operation in 1871, Abbe and his staff verified 69 % of their predications ; the annual report apologized for the other 31 %, citing the pressure of time as the cause.

The Abbe sine condition is a condition that must be fulfilled by a lens or other optical system in order for it to produce sharp images of off-axis as well as on-axis objects.

* Abbe sine condition, a condition that must be fulfilled by a lens or other optical system in order for it to produce sharp images of off-axis as well as on-axis objects

The Abbe ( Torchbearers ) also settled after the Akye and the Mbatto, Ebrie and all the other foot Soldiers settled in the regions that is today Akan land in Cote d ' Ivoire.

Jena was re-constituted in June 1946 as SG Ernst Abbe Jena and like many other clubs in East Germany would undergo a number of name changes and was known variously as SG Stadion Jena ( October 1948 ), SG Carl Zeiss Jena ( March 1949 ), BSG Mechanik Jena ( January 1951 ), BSG Motor Jena ( May 1951 ), and SC Motor Jena ( November 1954 ).

The museum also bought other artworks from Henri van Abbe before his death in 1940.

He became student at the Royal College of Lyon where he met Frederic Ozanam and other followers of his philosophy professor, Abbe Noirot.