标题： 对地下目标定量成像的测量建模 显示英文标题

标题： Modeling measurements for quantitative imaging subsurface targets

摘要： 我们研究了位于粗糙空气-土壤界面下方目标的地面穿透合成孔径雷达测量结果。 通过考虑这种成像方式的固有空间/角度限制，我们引入了一个简化的测量模型。 该模型假设（i）目标与空气-土壤界面之间的首次相互作用，（ii）目标在平坦空气-土壤界面下方的散射，以及（iii）点目标模型。 使用基本解方法模拟二维标量波的直接散射问题，我们系统地研究了这些数据建模假设中的每一个。 为了测试和验证这些假设，我们将主成分分析应用于近似去除测量中的地面回波信号，然后对该处理后的数据应用Kirchhoff迁移以生成图像。 我们证明，使用此模型数据生成的图像几乎与使用完整直接散射问题的仿真测量生成的图像相同。 这样，我们证明了该模型包含了测量中所含的基本信息。 因此，它为理解固有空间/角度限制如何影响地下成像系统提供了一个理论框架。 显示英文摘要

摘要： We study ground-penetrating synthetic aperture radar measurements of scattering by targets located below a rough air-soil interface. By considering the inherent space/angle limitations of this imaging modality, we introduce a simplified model for measurements. This model assumes (i) first-order interactions between the target and the air-soil interface, (ii) scattering by the target below a flat air-soil interface, and (iii) a point target model. Using the method of fundamental solutions to simulate two-dimensional simulations of scalar waves for the direct scattering problem, we systematically study each of these data modeling assumptions. To test and validate these assumptions, we apply principal component analysis to approximately remove ground bounce signals from measurements and then apply Kirchhoff migration on that processed data to produce images. We show that images using this modeled data are nearly identical to those that use simulated measurements from the full direct scattering problem. In that way, we show that this model contains the essential information contained in measurements. Consequently, it provides a theoretical framework for understanding how inherent space/angle limitations affect subsurface imaging systems.