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Updated: May 16, 2026

Determining the Ice-binding Planes of Antifreeze Proteins by Fluorescence-based Ice Plane Affinity
Published on: January 15, 2014
Simplification for Fraunhofer diffracting pattern of various randomly oriented ice crystals in cirrus
Olivier Pujol1, Gérard Brogniez, Laurent Labonnote
1Université de Lille, Laboratoire d'optique atmosphérique, Villeneuve d'Ascq, France. olivier.pujol@univ‑lille1.fr
Abstract:
This paper deals with Fraunhofer diffraction by an ensemble of independent randomly oriented ice crystals of assorted shapes, like those of cirrus clouds. There is no restriction on the shape of each crystal. It is shown that light flux density in the Fourier plane is azimuth-invariant and varies as 1/sin(4)θ, θ being the angle of diffraction. The analytical formula proposed is exact. The key point of this study is conservation of electromagnetic energy.
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