This paper aims to apply the radiative transfer method to acoustical diffraction by obstacles. Some fictitious sources are introduced at diffracting wedges and a transfer equation based on energy balance determines the diffracted powers. It leads to a set of linear equations on diffracted powers which can be solved in a finite number of steps. It is then possible to calculate the diffracted field anywhere. Some applications to diffraction by obstacles of various shapes are presented. Results of this method are compared with Geometrical Theory of Diffraction and BEM reference calculations. It is shown that this method is particularly efficient in case of multiple diffraction where the ray-tracing technique involves an infinite number of rays between a source and a receiver point.
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September 2005
September 01 2005
Radiative transfer equation for multiple diffraction
Emeline Reboul;
Emeline Reboul
Laboratoire de Tribologie et Dynamique des Systèmes,
École Centrale de Lyon
, 36, Avenue Guy de Collongue 69134 Ecully, France
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Alain Le Bot;
Alain Le Bot
a)
Laboratoire de Tribologie et Dynamique des Systèmes,
École Centrale de Lyon
, 36, Avenue Guy de Collongue 69134 Ecully, France
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Joël Perret-Liaudet
Joël Perret-Liaudet
Laboratoire de Tribologie et Dynamique des Systèmes,
École Centrale de Lyon
, 36, Avenue Guy de Collongue 69134 Ecully, France
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Emeline Reboul
Alain Le Bot
a)
Joël Perret-Liaudet
Laboratoire de Tribologie et Dynamique des Systèmes,
École Centrale de Lyon
, 36, Avenue Guy de Collongue 69134 Ecully, Francea)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 118, 1326–1334 (2005)
Article history
Received:
August 31 2004
Accepted:
June 17 2005
Citation
Emeline Reboul, Alain Le Bot, Joël Perret-Liaudet; Radiative transfer equation for multiple diffraction. J. Acoust. Soc. Am. 1 September 2005; 118 (3): 1326–1334. https://doi.org/10.1121/1.2001467
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