Lens and mirror design via the principal surface

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The problem of optical design is stated as follows: Given a principal surface r($alpha$), and a maximum focal angle $alpha$/sub m/, find the pair of optical surfaces for which diffraction limited focusing is achieved. It is shown that specification of r($alpha$) and $alpha$/sub m/ uniquely determines the lens design to within a scale factor, given the refractive index of the lens. It is further shown that one straightforward Runge-Kutta integration routine generates both surfaces for either a lens or a pair of mirror surfaces. The complete family of aplanatic lenses is described. Deviation from sphericity is discussed, as well as ... continued below

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19 p.

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Greenbaum, A.; Glass, A.J. & Trenholme, J.B. July 14, 1975.

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Description

The problem of optical design is stated as follows: Given a principal surface r($alpha$), and a maximum focal angle $alpha$/sub m/, find the pair of optical surfaces for which diffraction limited focusing is achieved. It is shown that specification of r($alpha$) and $alpha$/sub m/ uniquely determines the lens design to within a scale factor, given the refractive index of the lens. It is further shown that one straightforward Runge-Kutta integration routine generates both surfaces for either a lens or a pair of mirror surfaces. The complete family of aplanatic lenses is described. Deviation from sphericity is discussed, as well as the possibility of realizing the specified lens designs. The family of lenses which map uniform incident intensity into uniform illumination about the focus is also described. Extension of the method to off-axis aberrations is considered. (auth)

Physical Description

19 p.

Notes

Dep. NTIS

Source

  • International lens design conference, Haverford, Pennsylvania, USA, 26 Jun 1975

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  • Report No.: UCRL--76639
  • Report No.: CONF-750679--1
  • Grant Number: None
  • Office of Scientific & Technical Information Report Number: 4145708
  • Archival Resource Key: ark:/67531/metadc870656

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • July 14, 1975

Added to The UNT Digital Library

  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 12, 2017, 2:51 p.m.

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Greenbaum, A.; Glass, A.J. & Trenholme, J.B. Lens and mirror design via the principal surface, article, July 14, 1975; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc870656/: accessed June 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.