Technical Memorandum 527249322-3

For the project Near-field Acoustical Holography - a new sensor concept for methods of active noise reduction, it is necessary to formulate the radiated sound power of a planar source in the transform domain. The transform representation is commonly derived by applying the Fourier transform to the inhomogeneous Helmholtz equation. After all, one ends up with Weyl’s identity, which is derived here first. Second, sound-power formulations based on Fourier transformed particle velocities and sound pressures are derived.

Authors

Publication Details

Journal
OpenHSU
Published
2026-03-05
DOI
https://doi.org/10.24405/22351
Primary Topic
Aerodynamics and Acoustics in Jet Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

Technical Memorandum 527249322-3

Steffen Ungnad
OpenHSU
Aerodynamics and Acoustics in Jet Flows
article

Technical Memorandum 527249322-3

Steffen Ungnad
article en

Abstract

For the project Near-field Acoustical Holography - a new sensor concept for methods of active noise reduction, it is necessary to formulate the radiated sound power of a planar source in the transform domain. The transform representation is commonly derived by applying the Fourier transform to the inhomogeneous Helmholtz equation. After all, one ends up with Weyl’s identity, which is derived here first. Second, sound-power formulations based on Fourier transformed particle velocities and sound pressures are derived.

OpenHSU
Openalex Percentile: Top 36%
Aerodynamics and Acoustics in Jet Flows
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