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The generalized Sellmeier equation for air.

A A Voronin1,2,3,4, A M Zheltikov1,2,3,4

  • 1Physics Department, International Laser Center, M. V. Lomonosov Moscow State University, Moscow 119992, Russia.

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A new generalized Sellmeier equation (GSE) accurately describes air refraction and dispersion from UV to long-wavelength infrared. This GSE extends far beyond the standard Sellmeier equation

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Area of Science:

  • Optical Physics
  • Atmospheric Optics
  • Spectroscopy

Background:

  • The standard Sellmeier equation (SSE) for atmospheric air has limitations in describing air refractivity beyond 2.5 μm.
  • Accurate air refractivity is crucial for mid- and long-wavelength infrared atmospheric optics.

Purpose of the Study:

  • To develop a compact and uniform generalized Sellmeier equation (GSE) for air refraction and dispersion.
  • To provide a highly accurate description of air refractivity across an ultrabroad spectral range.

Main Methods:

  • Developed a generalized Sellmeier equation (GSE) for air refractivity.
  • Validated the GSE against extensive air-refractivity calculations involving over half a million atmospheric absorption lines.

Main Results:

  • The GSE provides highly accurate air refractivity from 0.3 to 13 μm.
  • The GSE's validity range is substantially broader than the SSE's.
  • GSE accuracy is at least an order of magnitude higher than SSE within its range.

Conclusions:

  • The GSE offers a powerful analytical tool for mid- and long-wavelength infrared atmospheric optics.
  • The GSE significantly improves upon the accuracy and applicability of the SSE for atmospheric air.