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Laboratory Simulation of an Iron(II)-rich Precambrian Marine Upwelling System to Explore the Growth of Photosynthetic Bacteria

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A general setting for halo theory.

W Tape¹, G P Können

¹Department of Mathematical Sciences, University of Alaska Fairbanks, 101 Chapman Building, PO Box 756660, Fairbanks, Alaska 99775-6660, USA. ffwrt@aurora.alaska.edu

|February 29, 2008

Summary

This study introduces a general framework and atlas for understanding ice crystal halos caused by refraction. It explains the variety of halo shapes and their underlying causes, unifying classical and new halo types.

Area of Science:

Atmospheric optics
Crystallography
Geophysics

Background:

Ice crystal halos are optical phenomena caused by light refraction and reflection.
Previous studies often focused on specific crystal shapes and orientations, limiting a general understanding.

Purpose of the Study:

To develop a comprehensive framework for analyzing refraction halos in ice wedges.
To construct a general atlas of possible refraction halos, independent of specific crystal constraints.
To explain the diversity of halo shapes and their optical origins.

Main Methods:

Developed a theoretical framework to systematically treat refraction halos.
Constructed a general atlas of "all possible" refraction halos by varying wedge angle and spin vector orientation.

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Characterized halos using three key parameters: wedge angle, zenith angle of the spin vector, and spin vector in the wedge frame.

Main Results:

Created a general atlas of refraction halos, encompassing known and novel types.
Demonstrated that three parameters, along with sun elevation, determine halo shape and appearance.
Revealed an underlying order explaining the variety of observed halo shapes.

Conclusions:

The developed framework and atlas provide a unified understanding of ice crystal refraction halos.
The study clarifies the origins of halo shapes, including those from pyramidal and hexagonal prismatic crystals.
This work offers insights into why halos appear as they do and predicts new halo phenomena.