Multiple scattering of sound by correlated monolayers

Victor Twersky
1983 Journal of the Acoustical Society of America  
_ l_ Earlier results for scattering by random uncorrelated planar distributions, and by doubly periodic cq planar configurations of relatively arbitrary obstacles, are generalized to pair-correlated nonsymmetrical monolayers. The existing development for parallel cylinders in terms of the C~%J Zernike-Prins one-dimensional pair function p(x), is extended to analogous two-dimensional N distributions specified byp(R) for aligned impenetrable disks. We obtain the average multiple f fjT c, 4
more » ... ed transmitted and reflected waves, and an energy conserving approximation of the ,. differential scattering cross section per unit area. Simplified forms are developed to facilitate Cro determingp by inverting measured data. Closed form low-frequency results are derived for identical ellipsoids aligned nonsymmetrically to the plane of centers, and the array multi le-coupling processes are discussed in terms of functions ofp and their approximations.
doi:10.1121/1.388725 fatcat:zovv7v4i6rf2pjlgmhz7vfnx3u