Sound Wave Diffraction by a Cavity with Partial Lining

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Mathematical Sciences and Applications E-Notes
Volume:8 Issue:1
Sound Wave Diffraction by a Cavity with Partial Lining

Sound Wave Diffraction by a Cavity with Partial Lining

Pages : 123-133

View : 33 | Download : 7

Publication Date : 2020-03-20

Article Type : Research Paper

Abstract :Diffraction of sound wave through a cavity with partial lining is analyzed rigorously. By using the Fourier transform technique in conjunction with the Mode Matching method, the related boundary value problem is formulated as a Wiener-Hopf equation. In the solution, three infinite sets of unknown coefficients are involved that satisfy three infinite systems of linear algebraic equations. Numerical solution of this system is obtained for various values of the parameters of the problem. The influence of the different parameters such as the lining length, cavity depth, etc. on the diffraction are illustrated graphically. A perfect agreement is observed when the results of diffracted field are compared numerically with a similar work existing in the literature.
Keywords : Cavity, Diffraction, Wiener Hopf technique, Fourier transform, Mode Matching

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