円形凹面ピストン音源の速度ポテンシャルの収束の早い級数展開

スポンサーリンク

概要

• 論文の詳細を見る

• It has been shown that echoes obtained in conventional pulse echo systems can be expressed by an integral which contains the velocity potential of the field in the integrand. In order to perform the integral it is necessary to expand the velocity potential into a series of functions which include no integrations. The series expansions which have been reported so far converge rather slowly and one of them requires different forms of the series depending on the position in the field. Consequently they are not adequate to our purpose. In this paper the velocity potential of a circular concave transducer is expanded into a series of the functions J_n(x)/x (n=1, 3, 5, …). This series is not a rigorous one and holds for far field, but it converges very fast and for most cases first several terms are sufficient to express the velocity potential approximately.

• 社団法人日本音響学会の論文

著者

• 上田 光宏

  Research Laboratory Of Precision Machinery And Electronics Tokyo Institute Of Technology

関連論文

• 円形凹面ピストン音源の速度ポテンシャルの収束の早い級数展開

スポンサーリンク