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Volume 7,     Number 1,     Spring 1999

 

PLANE WAVE DIFFRACTION BY A SLIT
IN AN INFINITE PENETRABLE SHEET
S. ASGHAR AND TASAWAR HAYAT

Abstract. The acoustic diffraction of a plane wave by a slit in an infinite penetrable plane is discussed. An approximate boundary condition is used which depends upon the thickness and material constants which constitute the slit. The mathematical problem which is solved is an approximate model for a noise barrier which is not perfectly rigid and therefore transmits sound. It is found that the diffracted field is the sum of the fields produced by the two edges of the planes formed by the slit and an interaction field.

 

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