A local perturbation method for the approximate calculation of the acoustic wave diffraction with impedance interface conditions


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Abstract

The problem of incidence of an acoustic wave on the interface between media with impedance interface conditions is considered. An approximate method is proposed for calculating the result of diffraction under such conditions. The method is implemented as a computer program, and the result is compared with the analytical solution for the impedance conditions and with the calculations by a program for the contact boundary conditions. Good accuracy of the method and high computation speed are demonstrated, which allow one to apply the proposed approximate method to solving both direct and inverse problems of acoustics.

About the authors

D. Yu. Knyaz’kov

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: knyaz@ipmnet.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

A. V. Romanova

Steklov Mathematical Institute of Russian Academy of Sciences

Email: knyaz@ipmnet.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

A. S. Shamaev

Steklov Mathematical Institute of Russian Academy of Sciences

Email: knyaz@ipmnet.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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