Feasibility Analysis for the Problem of Active Near Field/Far Field Acoustic Pattern Synthesis in Free Space and Shallow Water Environments

TL;DR

This paper conducts a comprehensive sensitivity analysis of active acoustic field control in free space and shallow water, assessing feasibility, accuracy, and limitations under various parameters and noise conditions.

Contribution

It provides a detailed evaluation of the active near and far field acoustic pattern synthesis scheme using the method of moments and regularization techniques.

Findings

Active control accuracy depends on frequency, distance, and region size.

Manufacturing noise impacts the feasibility of precise active control.

Numerical simulations reveal the scheme's potential and practical challenges.

Abstract

In this paper, a detailed sensitivity 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 Morozov discrepancy principle to investigate the effects of problem parameters variations on the accuracy and feasibility of the proposed active field control strategy. We discuss the feasibility of the active scheme (power budget and control accuracy) as a function of the frequency, the distance between the control region and the active 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 noise. The numerical simulations show the accuracy of the active field control scheme and indicate some challenges and limitations for its physical implementations.