从仅强度的远场或近场数据成像局部粗糙表面
Imaging of locally rough surfaces from intensity-only far-field or near-field data
AI总结：
本文提出一种递归牛顿迭代算法，利用多频强度数据重建局部扰动平面，通过快速积分方程求解器实现稳定准确的成像，突破传统相位无关远场数据的限制。
摘要：
本文研究了一个非线性成像问题，旨在从仅强度（或相位无关）的远场或近场数据中重建局部扰动的完美反射无限平面。开发了一种频率递归牛顿迭代算法，用于从多频强度仅远场或近场数据中重建局部粗糙表面，其中在每次迭代中使用[39]中开发的快速积分方程求解器解决散射问题。对于远场数据情况，本文的主要特点是将入射场作为两个不同方向的平面波叠加，从而能够同时从多波数的强度远场数据中重建局部扰动的位置和形状。这与以往仅考虑相位无关远场数据的逆散射研究不同，因为单平面波入射下的相位无关远场模式具有平移不变性。最后通过数值实验验证了该重建算法在多尺度轮廓情况下的稳定性和准确性。
英文摘要：
This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration algorithm in frequencies is developed to reconstruct the locally rough surface from multi-frequency intensity-only far-field or near-field data, where the fast integral equation solver developed in [39] is used to solve the direct scattering problem in each iteration. For the case with far-field data, a main feature of our work is that the incident field is taken as a superposition of two plane waves with different directions rather than one plane wave, so the location and shape of the local perturbation of the infinite plane can be reconstructed simultaneously from intensity-only far-field data with multiple wave numbers. This is different from previous work on inverse scattering from phaseless far-field data, where only the shape reconstruction was considered due to the translation invariance property of the phaseless far-field pattern corresponding to one plane wave as the incident field. Finally, numerical examples are carried out to demonstrate that our reconstruction algorithm is stable and accurate even for the case of multiple-scale profiles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
