A general radiation model for sound fields and nearfield acoustical holography in wedge propagation spaces
| Autor: | Falk-Martin Hoffmann, Simone Fontana, Filippo Maria Fazi, Earl G. Williams |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Acoustics and Ultrasonics Helmholtz equation Acoustics Acoustic holography Wave equation Free field 01 natural sciences Wedge (geometry) 03 medical and health sciences 0302 clinical medicine Arts and Humanities (miscellaneous) 0103 physical sciences Boundary value problem Cylindrical coordinate system 030223 otorhinolaryngology 010301 acoustics Structural acoustics |
| Zdroj: | The Journal of the Acoustical Society of America. 142:1249-1260 |
| ISSN: | 0001-4966 |
| DOI: | 10.1121/1.4998573 |
| Popis: | In this work an expression for the solution of the Helmholtz equation for wedge spaces is derived. Such propagation spaces represent scenarios for many acoustical problems where a free field assumption is not eligible. The proposed sound field model is derived from the general solution of the wave equation in cylindrical coordinates, using sets of orthonormal basis functions. The latter are modified to satisfy several boundary conditions representing the reflective behaviour of wedge-shaped propagation spaces. This formulation is then used in the context of nearfield acoustical holography (NAH) and to obtain the expression of the Neumann Green function. The model and its suitability for NAH is demonstrated through both numerical simulations and measured data, where the latter was acquired for the specific case of a loudspeaker on a hemi-cylindrical rigid baffle. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|