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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 2 — Jan. 10, 2008
  • pp: 153–156

Comment on “Improved ray tracing air mass numbers model”

Siebren Y. van der Werf  »View Author Affiliations


Applied Optics, Vol. 47, Issue 2, pp. 153-156 (2008)
http://dx.doi.org/10.1364/AO.47.000153


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Abstract

Air mass numbers have traditionally been obtained by techniques that use height as the integration variable. This introduces an inherent singularity at the horizon, and ad hoc solutions have been invented to cope with it. A survey of the possible options including integration by height, zenith angle, and horizontal distance or path length is presented. Ray tracing by path length is shown to avoid singularities both at the horizon and in the zenith. A fourth-order Runge–Kutta numerical integration scheme is presented, which treats refraction and air mass as path integrals. The latter may optionally be split out into separate contributions of the atmosphere's constituents.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.4030) Atmospheric and oceanic optics : Mirages and refraction

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: August 10, 2007
Manuscript Accepted: September 5, 2007
Published: January 7, 2008

Citation
Siebren Y. van der Werf, "Comment on "Improved ray tracing air mass numbers model"," Appl. Opt. 47, 153-156 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-2-153

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