  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.
