Padé approximants for the acoustical characteristics of rigid frame porous media

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283 (1995) Padé approximants for the acoustical characteristics of rigid frame porous media. Journal of the Acoustical Society of America, 98 (2). pp. 1119-1129. ISSN 0001-4966 doi: 10.1121/1.413610

Abstract/Summary

In this paper it is shown that a number of theoretical models of the acoustical properties of rigid frame porous media, especially those involving ratios of Bessel functions of complex argument, can be accurately approximated and greatly simplified by the use of Padé approximation techniques. In the case of the model of Attenborough [J. Acoust. Soc. Am. 81, 93–102 (1987)] rational approximations are produced for the characteristic impedance, propagation constant, dynamic compressibility, and dynamic density, as a function of frequency and the material parameters. The model proposed by Stinson and Champoux