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Applied Optics

Applied Optics


  • Vol. 37, Iss. 19 — Jul. 1, 1998
  • pp: 4143–4149

Magnification of conic mirror reflectometers

Keith A. Snail and Leonard M. Hanssen  »View Author Affiliations

Applied Optics, Vol. 37, Issue 19, pp. 4143-4149 (1998)

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Conic mirror reflectometers are used to measure the diffuse reflectance and total integrated scatter of surfaces. In spite of the long history of using conic mirrors for these purposes, the maximum magnification of the three primary types of conic mirror (hemisphere, hemiellipsoid, and dual paraboloid) had not been compared quantitatively. To our knowledge, an exact magnification formula has not been published for any of the three primary conic mirrors. The maximum magnification is needed for proper sizing of detectors and radiation sources used with reflectometers. Exact analytical expressions for the maximum magnification of a Coblentz hemisphere, a hemiellipsoid, and a dual-paraboloid mirror system are derived and compared.

© 1998 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(120.3150) Instrumentation, measurement, and metrology : Integrating spheres
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.5820) Instrumentation, measurement, and metrology : Scattering measurements
(220.2740) Optical design and fabrication : Geometric optical design

Original Manuscript: October 31, 1997
Revised Manuscript: March 13, 1998
Published: July 1, 1998

Keith A. Snail and Leonard M. Hanssen, "Magnification of conic mirror reflectometers," Appl. Opt. 37, 4143-4149 (1998)

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