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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 30 — Oct. 20, 1996
  • pp: 5904–5910

Theory of concave gratings based on a recursive definition of facet positions

K. A. McGreer  »View Author Affiliations


Applied Optics, Vol. 35, Issue 30, pp. 5904-5910 (1996)
http://dx.doi.org/10.1364/AO.35.005904


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Abstract

A general theory for concave gratings is presented that is based on a recursion formula for the facet positions and that differs from previous theories that are based on a power-series expansion of the light path function. In the recursion formula approach the facet positions are determined from a numerical solution for the roots of two constraint functions. Facet positions are determined in sequence, starting from the grating pole. One constraint function may be chosen to give a stigmatic point. A variety of grating designs are discussed, including a design that cannot be generated with the power-series approach.

© 1996 Optical Society of America

History
Original Manuscript: May 24, 1995
Revised Manuscript: January 11, 1996
Published: October 20, 1996

Citation
K. A. McGreer, "Theory of concave gratings based on a recursive definition of facet positions," Appl. Opt. 35, 5904-5910 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-30-5904

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