In this work, we prove the possibility of actively controlling the acoustic field in an ocean consisting of two homogeneous layers of constant depth using a surface source embedded in one of the layers. For a class of prescribed fields on some bounded control regions in either layer, we show the existence of a boundary input on the source, either acoustic pressure or normal velocity so that the propagated field approximates the prescribed fields. Also, we provide a constructive scheme to find the required boundary input using a Morozov discrepancy principle-based Tikhonov regularization scheme. Several numerical simulations are also provided to support our analyses.

在这项工作中，我们证明了使用嵌入其中一层的表面源主动控制由两个恒定深度的均匀层组成的海洋中的声场的可能性。对于任一层中某些有界控制区域上的一类规定场，我们展示了源上存在边界输入，声压或法向速度，以便传播场接近规定场。此外，我们提供了一个建设性的方案来使用基于 Morozov 差异原理的 Tikhonov 正则化方案找到所需的边界输入。还提供了几个数值模拟来支持我们的分析。