Scientific Article

Feasibility analysis for active near/far field acoustic pattern synthesis in free space and shallow water environments

¹ Department of Electrical and Computer Engineering, University of Houston, 4800 Calhoun Rd, Houston, TX 77004, USA
² Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Victoria M. Ela Ave., Los Baños, Laguna 4030, Philippines
³ Department of Mathematics, University of Houston, 4800 Calhoun Rd, Houston, TX 77004, USA

^* Corresponding author: jchen82@central.uh.edu

Received: 19 January 2021
Accepted: 4 August 2021

Abstract

In this paper, a detailed sensitivity and feasibility analysis of the active manipulation scheme for scalar Helmholtz fields proposed in our previous works, in both free space and constant-depth homogeneous ocean environments, is presented. We apply the method of moments (MoM) together with Tikhonov regularization with the Morozov discrepancy principle to investigate the effects of varying the problem parameters to the accuracy and feasibility of the proposed active field control strategy. We discuss the feasibility of the active scheme (with respect to power budget, control accuracy and process error) as a function of the frequency, the distance between the control region and the source, the mutual distance between the control regions, and the size of the control region. Process error is considered as well to investigate the possibility of an accurate active control in the presence of manufacturing or feeding noise. The numerical simulations show the accuracy of the active field control scheme and indicate some challenges and limitations for its physical implementation.