SCALAR WAVE DIFFRACTION BY A RIGID CYLINDRICAL ROD OF FINITE-LENGTH WITH IMPEDANCE ENDS

A uniform asymptotic high frequency solution is presented for the prob lem of diffraction of plane harmonic sound waves by an acoustically ri gid cylindrical rod of finite length with the ends characterized by th e same surface impedance. This problem is described by a modified Wien er-Hopf equation of the third kind and then solved approximately. The solution involves two infinite sets of constants satisfying two infini te systems of linear algebraic equations. Numerical solutions of these systems are obtained for various values of the parameters of the prob lem and their effects on the diffraction phenomenon are shown graphica lly.