微扰近似一维粗糙面的参数反演

Parameter inversion of one-dimensional rough surface under small perturbation approximation

微扰近似的小起伏粗糙面是最常见的一类散射机制,然而它的散射、成像特性并没有得到很好研究。尤其随着太赫兹技术的发展,粗糙面散射成像研究显得尤为重要,因为在高频情况下,肉眼看起来光滑的表面将会表现得更加粗糙。为此提出了一种基于电场积分方程和泰勒展开的微扰近似(SPM)下有限长度一维导体粗糙面散射计算的简易方法,进而依据提出的正向散射模型发展了粗糙面功率谱以及对应参数估计的反演算法。这项研究提供了一种帮助人类解译粗糙面物理散射行为以及获取对应空域信息的途径,为二维粗糙面元的散射计算以及重构奠定了坚实的基础。

Small-scale rough surface scattering represents one of the mostly common scattering mechanisms and yet its Synthetic Aperture Radar（SAR） imaging characteristics have not been well studied. This becomes more critical in millimeter-wave/Terahertz regime as smooth surfaces would become slightly rough under such wavelengths. In this paper, the simplified Small Perturbation approximation Method（SPM） of one-dimensional rough surface scattering based on integral equation and Taylor expansion is presented. Then, the proposed scattering model is served as the theoretical basis for applications such as rough surface spectrum inversion and parameter estimation. This study helps better understanding the phenomenological behaviors of rough surface scattering and lays a foundation for the scattering computation and reconstruction of two-dimensional rough facet.