An impedance-based formulation of frequency-domain nonlinearity indicators in finite-amplitude sound propagation

Won Suk Ohm; Kent L. Gee; Taeyoung Park

doi:10.1121/10.0002030

An impedance-based formulation of frequency-domain nonlinearity indicators in finite-amplitude sound propagation

Won Suk Ohm, Kent L. Gee, Taeyoung Park

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Since the Morfey-Howell Q/S was introduced as a single-point frequency-domain nonlinearity indicator for propagation of intense broadband noise [AIAA J. 19, 986-992 (1981)], there has been debate about its validity, utility, and interpretation. In this Letter, the generalized Burgers equation is recast in terms of specific acoustic impedance along with linear absorption and dispersion coefficients, normalized quadspectral density (Q/S), and newly proposed normalized cospectral density (C/S). The formulation leads to a rather straightforward interpretation in which Q/S and C/S, respectively, represent the additional absorption and dispersion at a locale, produced by the passage of a finite-amplitude wave.

Original language	English
Pages (from-to)	EL295-EL300
Journal	Journal of the Acoustical Society of America
Volume	148
Issue number	3
DOIs	https://doi.org/10.1121/10.0002030
Publication status	Published - 2020 Sept 1

Bibliographical note

Funding Information:
W.-S.O. gratefully acknowledges the generous support from the Department of Physics and Astronomy, Brigham Young University. The authors thank Brent O. Reichman for helpful discussions.

Publisher Copyright:
© 2020 Acoustical Society of America.

All Science Journal Classification (ASJC) codes

Arts and Humanities (miscellaneous)
Acoustics and Ultrasonics

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10.1121/10.0002030

Cite this

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abstract = "Since the Morfey-Howell Q/S was introduced as a single-point frequency-domain nonlinearity indicator for propagation of intense broadband noise [AIAA J. 19, 986-992 (1981)], there has been debate about its validity, utility, and interpretation. In this Letter, the generalized Burgers equation is recast in terms of specific acoustic impedance along with linear absorption and dispersion coefficients, normalized quadspectral density (Q/S), and newly proposed normalized cospectral density (C/S). The formulation leads to a rather straightforward interpretation in which Q/S and C/S, respectively, represent the additional absorption and dispersion at a locale, produced by the passage of a finite-amplitude wave.",

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An impedance-based formulation of frequency-domain nonlinearity indicators in finite-amplitude sound propagation

Abstract

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