Second-order small perturbation method for transmission from dielectric rough surfaces
Second-order small perturbation method for transmission from dielectric rough surfaces
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DOI：
10.1080/17455030.2011.626809
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发表时间：
2011-10
影响因子：
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通讯作者：
Ping Chen;Yan Tian;Lei Hua;Dawei Song;Qingxia Li;Quanliang Huang;L. Gui
中科院分区：
文献类型：
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作者：
Ping Chen;Yan Tian;Lei Hua;Dawei Song;Qingxia Li;Quanliang Huang;L. Gui
虽然粗糙面散射的微扰法（SPM）在光学、遥感和传播等领域得到了广泛的研究，但利用SPM对粗糙面透射问题的研究还很少。本文从惠更斯原理和消光定理出发，利用SPM导出了随机粗糙表面的二阶透射场，并推导出了随机粗糙表面的二阶双向透射系数和二阶表面总透射率的表达式。改进后的表达式可应用于需要更精确地计算随机粗糙表面透射特性的场合。例如，用非相干方法计算分层粗糙介质的亮温，就必须尽可能精确地知道随机粗糙表面的双向透射系数或透射率。通过能量守恒验证了所提出的表达式的准确性。结果表明，SPM计算的传输特性的第一阶违反能量守恒，而解决方案的第二阶符合能量守恒好得多。这对于计算透射率或发射率特别重要。
Although the small perturbation method (SPM) for rough surface scattering has been studied extensively in problems in optics, remote sensing and propagation, there are fewer studies on rough surface transmission by the SPM. In this paper, from Huygens’ principle and the extinction theorem, the SPM is used to derive the transmitted field to the second order, and expressions for the bidirectional transmission coefficient and the total surface transmittance to the second order are developed for the random rough surface. The refined expressions can be applied to the situations where the transmission characteristics of a random rough surface need to be more accurately calculated. For example, to calculate the brightness temperature of stratified rough media by the incoherent method, we have to know the bidirectional transmission coefficient or transmittance of random rough surface as accurately as possible. The accuracy of the presented expressions is verified through the conservation of energy. It is shown that the transmission characteristics calculated by SPM to the first order violate conservation of energy, whereas solutions to the second order conform to energy conservation much better. This is particularly important for the calculation of transmittance or emissivity.