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.
Highlights
The active control of acoustic fields has been extensively explored in the past decades and is an emerging research area in modern acoustics
Compared with passive control schemes, active control techniques are more suited for low frequencies, as the barriers used in passive control schemes are relatively large and ineffective at low frequencies [1]
We mean a source with low power requirement, for instance 30 dB, which can radiate the prescribed fields within some accuracy thresholds
Summary
The active control of acoustic fields has been extensively explored in the past decades and is an emerging research area in modern acoustics. The current literature has significantly addressed the idea of the active control of Helmholtz scalar fields in broad applications. The PM approach aims to match the target field pattern in the given region with minimum error In this approach, the active control problem is cast as an inverse source problem (ISP). The active sound control in underwater environments is more challenging It makes use of additional boundary conditions and the approximated Green’s function, which adds a layer of complexity than free space scenario. We present a detailed sensitivity study for the problem of controlling three-dimensional scalar Helmholtz fields in several prescribed exterior regions while maintaining desired far-field pattern values in given fixed directions.
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