Mie Theory, Airy Theory, and the Natural Rainbow

Abstract

Compared with Mie scattering theory, Airy rainbow theory clearly miscalculates some monochromatic details of scattering by small water drops. Yet when monodisperse Airy theory is measured by perceptual (rather than purely physical) standards such as chromaticity and luminance contrast, it differs very little from Mie theory. Considering only the angular positions of luminance extrema, Airy theory's errors are largest for small droplets such as those that dominate cloudbows and fogbows. However, integrating over a realistic drop-size distribution for these bows eliminates most perceptible color and luminance differences between the two theories.

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Document Details

Document Type
Technical Report
Publication Date
Mar 20, 1998
Accession Number
ADA530647

Entities

People

  • Raymond L. Lee Jr.

Organizations

  • United States Naval Academy

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Chromaticity
  • Contrast
  • Distribution Functions
  • Drops
  • Illuminants
  • Intensity
  • Luminance
  • Mie Scattering
  • Numbers
  • Optics
  • Polarization
  • Projective Geometry
  • Scattering
  • Solar Spectrum
  • Spectra
  • Standards
  • United States Naval Academy

Fields of Study

  • Physics

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Vision Science/Vision Psychology/Cognitive Neuroscience.