Derivation of aberration coefficients for single-element plane-symmetric reflecting systems using Mathematica{trademark}

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Description

The definition of the generalized optical path function for a grating or mirror with a single plane of symmetry is reviewed. The generalized optical path function is then expanded in a series of wavefront aberration terms using only a few lines of code in the Mathematica{trademark} scientific programming environment. The use of the algebraic capabilities of the Mathematica{trademark} environment allows straightforward calculation of aberration coefficients that would normally require considerable effort if undertaken by paper and pencil. In addition, the derivation can be carried out to higher order aberration terms, limited only by the capabilities of the computer platform used.

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12 p.

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McKinney, W.R. & Palmer, C. September 1, 1997.

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  • McKinney, W.R. Lawrence Berkeley National Lab., CA (United States). Accelerator and Fusion Research Div.
  • Palmer, C. Richardson Grating Lab., Rochester, NY (United States)

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Description

The definition of the generalized optical path function for a grating or mirror with a single plane of symmetry is reviewed. The generalized optical path function is then expanded in a series of wavefront aberration terms using only a few lines of code in the Mathematica{trademark} scientific programming environment. The use of the algebraic capabilities of the Mathematica{trademark} environment allows straightforward calculation of aberration coefficients that would normally require considerable effort if undertaken by paper and pencil. In addition, the derivation can be carried out to higher order aberration terms, limited only by the capabilities of the computer platform used.

Physical Description

12 p.

Notes

INIS; OSTI as DE98052839

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  • Annual meeting of the Society of Photo-Optical Instrumentation Engineers, San Diego, CA (United States), 27 Jul - 1 Aug 1997

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  • Other: DE98052839
  • Report No.: LBNL--40849
  • Report No.: LSBL--416;CONF-970706--
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 650351
  • Archival Resource Key: ark:/67531/metadc707083

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  • September 1, 1997

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 5, 2016, 4:57 p.m.

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McKinney, W.R. & Palmer, C. Derivation of aberration coefficients for single-element plane-symmetric reflecting systems using Mathematica{trademark}, article, September 1, 1997; California. (digital.library.unt.edu/ark:/67531/metadc707083/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.