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Impedance theory of sound scattering and absorption: A constrained best absorber and the efficiency bounds of passive scatterers and absorbers

  • Environmental Acoustics, Noise and Vibration
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Abstract

A constrained best absorber is defined as a body that absorbs the maximum incident sound power among all of the passive bodies of the same geometry under the condition that the sound power scattered by it is fixed. By solving a variational problem, the surface impedances of the constrained best absorber are determined and the efficiency bounds of passive scatterers and absorbers are found. The range of all the allowable values of the absorption and scattering powers of an arbitrary passive body is represented graphically. For the boundaries of this range, analytical formulas are derived. Some of the properties of constrained best absorbers are considered, and illustrative examples are presented.

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Authors and Affiliations

  1. Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Malyĭ Khariton’evskiĭ per. 4, Moscow, 101990, Russia

    Yu. I. Bobrovnitskiĭ

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  1. Yu. I. Bobrovnitskiĭ
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Original Russian Text © Yu.I. Bobrovnitskiĭ, 2007, published in Akusticheskiĭ Zhurnal, 2007, Vol. 53, No. 1, pp. 113–118.

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Bobrovnitskiĭ, Y.I. Impedance theory of sound scattering and absorption: A constrained best absorber and the efficiency bounds of passive scatterers and absorbers. Acoust. Phys. 53, 100–104 (2007). https://doi.org/10.1134/S1063771007010125

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  • DOI: https://doi.org/10.1134/S1063771007010125

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