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

Analytic Solutions to Reflection-Transmission Problem of Interface in Anisotropic Ice Sheet
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各向异性冰盖界面反射-透射问题的解析解

DOI:
10.1155/2020/9869873
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发表时间:
2020-06
影响因子:
1.5
通讯作者:
Wong Honkuan
Wong Honkuan
中科院分区:
计算机科学4区
文献类型:
--
作者:
Wang Bangbing;Wong Honkuan

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极地冰盖的流变和演化深受冰晶各向异性的影响。研究冰晶的各向异性有助于更好地理解和预测极地冰盖的行为以及海平面上升和全球气候变化。本文首先推导了由介质的介电常数张量和几何形状决定的各向异性介质的特征值和特征向量的表达式。然后,通过矩阵变换直接推导出反射系数和透射系数的解析公式。对一些具有真实冰参数的模型进行了测试,它们在各向异性界面处呈现出一些特殊特征。我们还讨论了特征值和特征向量的物理意义以及极化雷达的几何分析。该解析解揭示了宏雷达反射与冰晶微观物理性质之间的函数关系,为偏振雷达探测冰织物识别提供了可行性。
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.
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