Active manipulation of Helmholtz scalar fields: Near-field synthesis with directional far-field control

Issue Date

6-2020

Abstract

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 homogeneous ocean of constant depth, respectively. 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.

Source or Periodical Title

Inverse Problems

ISSN

0266-5611

Volume

36

Issue

9

Page

1-33

Document Type

Article

Physical Description

figures; graphs; references

Language

English

Subject

acoustics in homogeneous ocean, active acoustic control, directional far-field radiation control, scalar Helmholtz fields, Tikhonov regularization

Identifier

DOI:10.1088/1361-6420/aba106.

Digital Copy

yes

Link to Full Text

Share

COinS