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Applied Optics

Applied Optics


  • Vol. 33, Iss. 19 — Jul. 1, 1994
  • pp: 4179–4183

Aspheric mirror with constant angular magnification II

Željko Andreić and Nikola Radić  »View Author Affiliations

Applied Optics, Vol. 33, Issue 19, pp. 4179-4183 (1994)

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Differential equations for a constant-angular-magnification aspheric-mirror surface shape are derived for a general dependence of the camera image height on the camera field angle. The explicit equations of the constant-angular-magnification mirror surface are given for some particular values of the angular magnification. For a series of odd integer values of the angular magnification, 10th-order polynomial approximations of the mirror surface are presented. The imaging performance of such a mirror with an angular magnification of 7 is analyzed and compared with a spherical mirror. The main cause of image blur in all-sky cameras at the edge of the field of view was found to be a strong image curvature. We show that increasing the camera-to-mirror distance and/or stopping down the camera lens reduces the image blur.

© 1994 Optical Society of America

Original Manuscript: June 14, 1993
Revised Manuscript: October 12, 1993
Published: July 1, 1994

Željko Andreić and Nikola Radić, "Aspheric mirror with constant angular magnification II," Appl. Opt. 33, 4179-4183 (1994)

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  1. Ž. Andreić, “Simple 180° field of view F-theta all-sky camera,” in Innovative Optics and Phase Conjugate Optics, R. Ahlers, T. T. Tschudi, eds., Proc. Soc. Photo-Opt. Instrum. Eng. 1500, 293–304 (1991).
  2. N. Radić, Ž. Andreić, “Aspheric mirror with constant angular magnification,” Appl. Opt. 31, 5915–5917 (1992). [CrossRef]
  3. A. Dyer, “Seeking the best 35 mm camera,” Astronomy 21, 74–79 (1993).

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