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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 49, Iss. 7 — Mar. 1, 2010
  • pp: 1116–1130

Correct equations and common approximations for calculating Rayleigh scatter in pure gases and mixtures and evaluation of differences

Wynn L. Eberhard  »View Author Affiliations


Applied Optics, Vol. 49, Issue 7, pp. 1116-1130 (2010)
http://dx.doi.org/10.1364/AO.49.001116


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Abstract

Equations for Rayleigh scattering in a mixture of gases are derived and compared to frequent approxi mations in the literature. The traditional Rayleigh scattering equation as modified by King for scatter from a pure gas is correct, whereas another version sometimes appearing in modern literature is erroneous. Use of a mixture’s refractive index, which is equivalent to assuming the isotropic molecular polarizabilities of the component gases are identical, is an approximation. Another common approximation is using only number-density weighting of the King factors. Approximation errors can be large when the major components of a mixture have disparate optical properties. Fortunately, the errors for Earth’s air are much smaller and comparable to errors from other sources.

OCIS Codes
(010.1320) Atmospheric and oceanic optics : Atmospheric transmittance
(280.3640) Remote sensing and sensors : Lidar
(290.1310) Scattering : Atmospheric scattering
(290.5870) Scattering : Scattering, Rayleigh

ToC Category:
Scattering

History
Original Manuscript: December 1, 2009
Manuscript Accepted: January 14, 2010
Published: February 23, 2010

Citation
Wynn L. Eberhard, "Correct equations and common approximations for calculating Rayleigh scatter in pure gases and mixtures and evaluation of differences," Appl. Opt. 49, 1116-1130 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-7-1116


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