An Attempt at the Computer-Aided Design of Transducer Distribution on a Hemisphere

Abstract

In this paper a number of small size transducersare mounted on a hemisphere so as to obtain a desireddirectivity. The actual directivity Parameter is compared with the desired one at a finite number of points, the best approximation is obtained by minimizing themaximum of the difference. The necessary conditionfor a distribution to give the minimum is formulated, and an iterative algorithm is presented which hopefully converges to a local minimum. All illustrativeexample is given to demonstrate the effectiveness ofthis approach.