论文标题
Helmholtz标量场的主动操纵：近场综合远处远场控制
Active manipulation of Helmholtz scalar fields: Near field synthesis with directional far field control
论文作者
论文摘要
在本文中，我们提出了一种在活动源附近区域内的标量Helmholtz场的主动操纵策略，同时在规定的远场方向上保持所需的辐射模式。在两个环境中考虑了此控制问题：分别恒定深度的自由空间和均匀的海洋。在这两种媒体中，我们都证明了表面输入的存在并表征了以Neumann数据（正常速度）或Dirichlet数据（表面压力）为模型的表面输入，从而使辐射场满足控制约束。我们还提供了一种数值策略，通过使用基于Morozov原理的Tikhonov正则化的方法，使用矩征的方法来构建这种预测的表面输入。提供了几个数值模拟，以证明与实际应用相关的方案中提出的方案。
In this article, we propose a strategy for the active manipulation of scalar Helmholtz fields in bounded near field regions of an active source while maintaining desired radiation patterns in prescribed far field directions. This control problem is considered in two environments: free space and respectively, homogeneous ocean of constant depth. In both media, we proved the existence of and characterized the surface input, modeled as Neumann data (normal velocity) or Dirichlet data (surface pressure) such that the radiated field satisfies the control constraints. We also provide a numerical strategy to construct this predicted surface input by using a method of moments-approach with a Morozov discrepancy principle-based Tikhonov regularization. Several numerical simulations are presented to demonstrate the proposed scheme in scenarios relevant to practical applications.
