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Fluid-structure effects of cloaking a submerged spherical shell.

C L Scandrett¹, A M Vieira

¹Department of Applied Mathematics, Naval Postgraduate School, 833 Dyer Road, Monterey, California 93943, USA.

The Journal of the Acoustical Society of America

|August 24, 2013

Summary

Cloaking a submerged spherical shell reduces backscattering amplitude and shifts tonal responses. Effective cloaking eliminates mid-frequency enhancements and can reduce high-frequency enhancements by altering acoustic velocities.

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Area of Science:

Acoustics
Materials Science
Wave Scattering

Background:

Acoustic cloaking aims to reduce or eliminate the scattering of sound waves from objects.
Understanding the scattering properties of submerged structures is crucial for various applications, including sonar and underwater communication.

Purpose of the Study:

To analyze the effect of acoustic cloaking on the backscattering of submerged spherical shells across different frequency regimes.
To explain the dominant features of scattered pressure and how cloaking influences them using complex pole analysis.

Main Methods:

Utilized Cauchy residue theory to evaluate complex poles of scattered pressure amplitudes.
Extended methodologies previously applied to uncloaked shells to analyze cloaked shells.
Analyzed scattering in low, mid, and high frequency regimes.

Main Results:

Cloaking generally diminishes backscattering amplitude and shifts tonal responses.
Introduction of a cloak eliminates "mid-frequency enhancement" near the coincidence frequency.
Reduction of "high-frequency enhancement" requires more effective cloaking, potentially eliminating it with specific cloak properties.

Conclusions:

Acoustic cloaking significantly alters the scattering characteristics of submerged spherical shells.
The effectiveness of cloaking in reducing specific scattering phenomena depends on the cloak's properties and the frequency regime.
Tailoring cloak parameters can lead to substantial reductions in unwanted acoustic backscattering.