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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 7, Iss. 1 — Jan. 1, 1968
  • pp: 197–201

The Approximation of Vignetted Pupil Shape by an Ellipse

William B. King  »View Author Affiliations


Applied Optics, Vol. 7, Issue 1, pp. 197-201 (1968)
http://dx.doi.org/10.1364/AO.7.000197


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Abstract

For many optical systems with zero obscuration, it has been found that, for extraaxial pencils, the periphery of the vignetted pupil shape may be represented by an ellipse with good approximation. A computer program is described which first determines the rim rays and then fits the ray coordinates to an ellipse by the method of least squares. Some examples are included showing the accuracy of the elliptical pupil.

© 1968 Optical Society of America

History
Original Manuscript: August 25, 1967
Published: January 1, 1968

Citation
William B. King, "The Approximation of Vignetted Pupil Shape by an Ellipse," Appl. Opt. 7, 197-201 (1968)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-7-1-197

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