This study investigates the applicability of Kirchhoff migration (KM) for a fast identification of unknown objects in a real-world limited-aperture inverse scattering problem. To demonstrate the theoretical basis for the applicability including unique determination of objects, the imaging function of the KM was formulated using a uniformly convergent infinite series of Bessel functions of integer order of the first kind based on the integral equation formula for the scattered field. Numerical simulations performed using the experimental Fresnel dataset are exhibited to achieve the theoretical results.
翻译:本研究探讨了基尔霍夫偏移(KM)在实际有限孔径逆散射问题中快速识别未知目标的适用性。为论证该适用性(包括目标唯一确定)的理论基础,基于散射场的积分方程公式,利用第一类整数阶贝塞尔函数的均匀收敛无穷级数推导了KM的成像函数。通过实验菲涅尔数据集进行的数值模拟验证了理论结果。