SOLUTION OF MALYUZHINETS FUNCTIONAL EQUATIONS ON IMPEDANCE WEDGE DIFFRACTION PROBLEM

来源 :Chinese Journal of Acoustics | 被引量 : 0次 | 上传用户:znaddh
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A solution of the impedance wedge diffraction problem has been given by Malyuzhinets in Ref.[1].The key to the problem is to seek the solution of Malyuzhinets functional equations.However,how to go about getting the solution of the functional equations is not given in Ref.[1].A detailedprocess to get the solution of the functional equations is provided by using the infinite product theoryin Ref.[2],in which,however,there exist some errors and indistinct places. In this paper,these errors in Ref.[2] are corrected and another simpler method to obtain thesolution of the functional equations is also provided for the purpose of comparison. A solution of the impedance wedge diffraction problem has been given by Malyuzhinets in Ref. [1]. The key to the problem is to seek the solution of the solution of Malyuzhinets functional equations. However, getting into the solution of the functional equations is not given in Ref. [1] .A detailedprocess to get the solution of the functional equations is provided by using the infinite product theoryin Ref. [2], in which, however, there exist some errors and indistinct places. In this paper, these errors in Ref. [2] are corrected and another simpler method to obtain the solution of the functional equations is also provided for the purpose of comparison.
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