TY - JOUR
AU - Ouis, Djamel
PY - 2023/03/31
Y2 - 2024/07/24
TI - Diffraction of a Spherical Wave by a Hard Half-Plane: Polynomial Formulation of the Edge-Diffracted Field in the Frequency Domain
JF - Journal Akustika
JA - JA
VL - 45
IS - 45
SE - TEMPLATE
DO - 10.36336/akustika20234563
UR - https://www.journalakustika.com/index.php/akustika/article/view/104
SP -
AB - <p>The problem of diffraction of a spherical sound wave by a thin hard half-plane is considered. The expression of the total field at any position in the space around the half-plane is composed of two geometrical components and a third one which originating from the edge of the half-plane. This paper takes the expression of the edge-diffracted field due to a sound doublet, as formulated in the Biot-Tolstoy theory of diffraction, BTD, but rearranged for the Dirac-like pulse by Medwin. The present paper presents a development in the frequency domain of the Fourier transform of the exact expression of the edge-diffracted field as given in the time domain. This solution is composed of a serial development, expressed in simple trigonometric integral functions, and which away from the geometrical optics boundaries shows a quite rapid convergence to the numerical Fourier transform of the exact time-domain expression. The presented solution may be used as a good approximation in simulations and in real case predictions of sound scattering by thin straight-edged noise barriers.</p>
ER -