Diffraction of the sound wave by a finite soft (rigid) cone

The problem of a plane acoustic wave diffraction by a finite soft (rigid) hollow cone is analyzed and numerically computed for axially symmetric case. The problem is solved in terms of the velocity potential using the mode matching technique and the analytical regularization procedure. The unknown expansion coefficients are determined from the infinite system of linear algebraic equations (ISLAE) of the second kind, which allows one to obtain the solution with the given accuracy. The numerically obtained results are compared with those known for the disk including exact and approximate solutions.