Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography
Citations
522 citations
Cites background or methods from "Fourier Acoustics: Sound Radiation ..."
...The spherical Fourier transform [9], or spherical harmonics decomposition [10], employed in this paper is briefly revised in this section....
[...]
...Substituting (2) in (6), the condition for exact sampling as in (6) is satisfied if the following holds: (7) Equation (7) can be considered as a modified version of the orthogonality property of the spherical harmonics [10], [13]....
[...]
378 citations
294 citations
276 citations
Cites methods from "Fourier Acoustics: Sound Radiation ..."
...The three-dimensional free-field Green’s function is given as [25]...
[...]
...The solution of the homogeneous wave equation for a bounded region V with respect to inhomogeneous boundary conditions is given by the KirchhoffHelmholtz integral [25]...
[...]
...According to [25] two different techniques exist to derive monopole only versions of the Kirchhoff-Helmholtz integral: the simple source approach and a modification of the free-field Green’s function used in the KirchhoffHelmholtz integral....
[...]
...A suitable Neumann Green’s function for a planar/linear boundary ∂V is given by [25]...
[...]
...The two-dimensional free-field Green’s function is given as [25]...
[...]
252 citations