Diffraction of Plane Sound Wave by Many Equal Circular Holes Arbitrarily Distributed in an Infinitely Large Rigid Plane Plate

1961 ◽  
Vol 16 (4) ◽  
pp. 819-831 ◽  
Author(s):  
Yûkichi Nomura ◽  
Tadao Osanai
Keyword(s):  
Sound Wave ◽  
Plane Plate ◽  
Circular Holes ◽  
Plane Sound ◽  
Rigid Plane

scholarly journals Reflection function of a plane sound wave in a cylindrical tube

1987 ◽  
Vol 22 (5) ◽  
pp. 331-337 ◽  
Author(s):  
J.D. Polack ◽  
X. Meynial ◽  
J. Kergomard ◽  
C. Cosnard ◽  
M. Bruneau
Keyword(s):  
Sound Wave ◽  
Cylindrical Tube ◽  
Reflection Function ◽  
Plane Sound

An approximate method in high-frequency scattering

1962 ◽  
Vol 58 (4) ◽  
pp. 662-670
Author(s):  
A. Sharples
Keyword(s):  
Boundary Condition ◽  
Circular Cylinder ◽  
Integral Representation ◽  
Sound Wave ◽  
High Frequency ◽  
Correction Term ◽  
Scattering Coefficient ◽  
Extended Form ◽  
Geometrical Acoustics ◽  
Plane Sound

ABSTRACTThe diffraction of a high-frequency plane sound wave by a circular cylinder is investigated when the boundary condition on the cylinder is expressed by means of an equation of the form The special feature of this investigation is that an extended form of the Kirchhoff-Fresnel theory of diffraction is used to find an integral representation for the scattering coefficient. In order to avoid the complicated analysis which would be necessary to evaluate the integrals concerned, the more natural geometrical acoustics approach is used to find the first correction term in the scattering coefficient. Numerical results are given for large and small values of the impedance Z.

The transmission of sound through anisotropic rectangular plates

1988 ◽  
Vol 416 (1850) ◽  
pp. 199-215 ◽  
Keyword(s):  
Rectangular Plate ◽  
Sound Wave ◽  
Compressible Fluid ◽  
Sound Power ◽  
Rectangular Plates ◽  
Small Frequency ◽  
Plate Equations ◽  
Plane Sound ◽  
Rigid Baffle ◽  
Anisotropic Rectangular Plates

A plane sound wave is incident upon an anisotropic rectangular plate set in an otherwise rigid baffle surrounded by a light compressible fluid. In the limit of small wavelengths, compared with plate dimensions, the transmitted sound power is estimated, averaged over a small frequency band and over all possible angles of incidence. Explicit results are presented for a special type of anisotropy, and they have different forms according as the operating frequency ω is above coincidence, below coincidence or with in a range of frequencies (ω 2 < ω < ω 1 ) that corresponds to coincidence. Transition formulae are given for frequencies near the boundaries of the three régimes. The results are extended to allow for more general plate equations.

scholarly journals Errata - Reflection function of a plane sound wave in a cylindrical tube

1987 ◽  
Vol 22 (11) ◽  
pp. 1599-1599
Author(s):  
J.D. Polack ◽  
X. Meynial ◽  
J. Kergomard ◽  
C. Cosnard ◽  
M. Bruneau
Keyword(s):  
Sound Wave ◽  
Cylindrical Tube ◽  
Reflection Function ◽  
Plane Sound

Reflexion and transmission at a plane screen with periodically arranged circular or elliptical apertures

1973 ◽  
Vol 61 (1) ◽  
pp. 109-127 ◽  
Author(s):  
F. G. Leppington ◽  
H. Levine
Keyword(s):  
Integral Equation ◽  
Asymptotic Solution ◽  
Sound Wave ◽  
Infinite Plane ◽  
Rectangular Array ◽  
Transmission Coefficients ◽  
Single Aperture ◽  
Rigid Plane ◽  
Periodic Arrangement

A plane harmonic sound wave is considered to be incident upon a rigid plane screen that contains a periodic rectangular array of circular or elliptical apertures, and a characterization is sought for the reflexion and transmission coefficients of the scattered waves when the relationships aperture dimension [Lt ] spacing [Lt ] wavelength apply. The problem is analysed with the help of an integral equation over a single aperture and, as a consequence of the determination of the leading terms in its asymptotic solution, some prior results for more general (that is, irregular) aperture spacing are confirmed and specific features of the interaction in the periodic arrangement are established. Similar formulations are devised and given attention for the related problems in which (i) the screen is backed by a rigid infinite plane and (ii) the apertures contain rigid pistons capable of executing normal displacements compatible with an assigned and common impedance. A section is devoted to the solution, based on expansion of its kernel, for an integral equation of the first kind with a plane circular or elliptical domain.

On the determination of the phase of a plane sound wave transmitted through a layer

2004 ◽  
Vol 50 (5) ◽  
pp. 612-613
Author(s):  
M. V. Lobur ◽  
Ya. P. Kosobutskii
Keyword(s):  
Sound Wave ◽  
Plane Sound
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