Deriving Optics: 22/46 Halo, Sundogs, Coronas, etc.

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SUMMARY

This discussion focuses on the mathematical derivation of atmospheric optical phenomena, specifically the 22-degree halo, 46-degree halo, sundogs, coronas, sunrise/sunset effects, silver linings, and sun pillars. Users seek guidance on how to approach these calculations and request graphical representations to aid understanding. A recommended resource is provided, which includes photographs and explanations of these phenomena.

PREREQUISITES
  • Understanding of atmospheric optics principles
  • Familiarity with trigonometry and geometry
  • Knowledge of light refraction and reflection
  • Basic skills in graphical representation of mathematical concepts
NEXT STEPS
  • Research the mathematical principles behind the 22-degree halo and 46-degree halo
  • Explore the formation and calculation of sundogs using atmospheric refraction models
  • Study the geometry of coronas and their relationship with light scattering
  • Investigate the physics of sunrise and sunset phenomena, including angles of elevation
USEFUL FOR

Atmospheric scientists, meteorologists, educators in physics, and anyone interested in the mathematical modeling of optical phenomena in the atmosphere.

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i have no idea where to start:

can someone help me mathematically derive the following?

-22 degree halo and 46 degree halo

-sundogs

-coronas

-sunrise/ sunset

-silver linings

-sun pillar

(graphics would be greatly appreciated)

if you find any helpful links please cite them here!

thanks!
 
Last edited:
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xreas0nsx said:
i have no idea where to start:

can someone help me mathematically derive the following?

-22 degree halo and 46 degree halo

-sundogs

-coronas

-sunrise/ sunset

-silver linings

-sun pillar

(graphics would be greatly appreciated)

if you find any helpful links please cite them here!

thanks!
Check out this http://www.sundog.clara.co.uk/halo/parhelia.htm" which has great photos and a fairly good explanation.

AM
 
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