Analytic Solutions to Reflection-Transmission Problem of Interface in Anisotropic Ice Sheet

The rheology and evolution of the polar ice sheet are deeply influenced by the anisotropy of ice crystals. Studying the anisotropy of ice crystals can help to well understand and predict the behavior of the polar ice sheet and then the sea level rising and global climate change. In this paper, first...

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Bibliographic Details
Published in:International Journal of Antennas and Propagation
Main Authors: Bangbing Wang, Honkuan Wong
Format: Article in Journal/Newspaper
Language:English
Published: Hindawi Limited 2020
Subjects:
Online Access:https://doi.org/10.1155/2020/9869873
https://doaj.org/article/b1cf19f4d90044aeb95668c2c5981b0c
Description
Summary:The rheology and evolution of the polar ice sheet are deeply influenced by the anisotropy of ice crystals. Studying the anisotropy of ice crystals can help to well understand and predict the behavior of the polar ice sheet and then the sea level rising and global climate change. In this paper, firstly, we deduce the expression of eigenvalues and eigenvectors of anisotropic media, which are determined by permittivity tensor and geometry of media. Then, the analytic formulas of reflection and transmission coefficients are derived directly by matrix transformation. Some models with real ice parameters are tested, and they present some special features at the anisotropic interface. We also discuss the physical meanings of eigenvalues and eigenvectors and the geometry analyzing to polarimetric radar. This analytic solution reveals the functional relationship between the macroradar reflection and the microphysical properties of ice crystals, which provides a feasibility of ice fabric identification by polarimetric radar detection.