Sensitivity analysis for the active manipulation of Helmholtz fields in 3D

Issue Date

12-2018

Abstract

In this paper, we continue to study the feasibility of active manipulation of Helmholtz fields and by using an improved and more robust numerical strategy we present a detailed sensitivity analysis for the active methods proposed in our previous works [Onofrei D. Active manipulation of fields modelled by the Helmholtz equation. J Integral Equ. Appl. 2014;26(4):553–579; Onofrei D, Platt E. On the synthesis of acoustic sources with controllable near fields. Wave Motion. 2018;77:12–27]. In this regard, we study the behaviour of physically relevant parameters (i.e. source power, control accuracy, stability) with respect to variations in the type of control regions (bounded or unbounded), relative position of the control regions, distances between the control regions and the source, frequency range and fields to be approximated. We produce strong numerical evidence indicating the accuracy of our scheme and at the same time develop a better understanding of several important challenges for its physical implementation.

Source or Periodical Title

Inverse Problems in Science and Engineering

ISSN

1741-5977

Volume

28

Issue

3

Page

314-339

Document Type

Article

Physical Description

diagram; graphs; references

Language

English

Subject

Acoustic control, field synthesis, inverse source problem, sensitivity analysis

Identifier

10.1080/17415977.2018.1555248.

Digital Copy

yes

Link to Full Text

Share

COinS