Atmospheric Refraction: Converting Density Profiles to Refractivity

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    Atmospheric Refraction
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SUMMARY

The discussion focuses on converting density profiles to refractivity index profiles for atmospheric studies, specifically in relation to the Green Flash phenomenon. The user, Natski, has developed a density profile based on the 1976 US Standard Atmosphere for the first 86 km and seeks a mathematical formula for conversion. A key recommendation is to utilize the Ciddor equation, which provides a reliable method for calculating refractive indices based on density variations influenced by temperature and altitude.

PREREQUISITES
  • Understanding of atmospheric density profiles
  • Familiarity with the Ciddor equation
  • Knowledge of the 1976 US Standard Atmosphere model
  • Basic principles of refractive index in atmospheric science
NEXT STEPS
  • Research the Ciddor equation for calculating refractivity
  • Explore the 1976 US Standard Atmosphere model in detail
  • Study the relationship between temperature, altitude, and density in the atmosphere
  • Investigate applications of refractivity in atmospheric optics
USEFUL FOR

Atmospheric scientists, meteorologists, and researchers studying optical phenomena such as the Green Flash will benefit from this discussion.

natski
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Hi,

I'm working on a project on the Green Flash and have so far been building up a program to produce the 1976 US Standard Atmosphere. I have produced the density profile for the first 86km (which I'll assume to be enough for now) and now need to convert it to a refractivity index profile.

I'm assuming refractive indices only depend on density changes (since density depends on both temperature and altitude). My question is what mathematical formula should I use? I have been unable to find a formula for converting density profiles into refactive index profiles.

Thanks,

Natski
 
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You probably should look for Ciddor equation. EDIT: http://www.cfa.harvard.edu/~jbattat/apollo/references/atmosphere/chambers_astrometryWithPanStarrsAndPS1_pushingTheLimitsOfAtmosphericRefraction_2005.pdf , page 8
 
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