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Application of the matrix riemann problem to the study of excitation of natural waves in an acoustic waveguide by a piston radiator

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Abstract

Stationary excitation of natural waves in a flat acoustic waveguide with absolutely soft lateral walls by a piston radiator is investigated. In the case where the length of the radiator is equal to the halved width of the waveguide, the exact analytic solution is obtained. The representation of the acoustic field in the waveguide in the form of an expansion over the natural waves of the waveguide is provided.

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References

  1. V. D. Luk'janov and G. L. Nikitin, “On the scattering of electromagnetic waves in a flat waveguide containing a two-sided diaphragm,”Zh. Tekhn. Fiz.,54, 865–871 (1984).

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  2. N. I. Muschelischwili,Singular Integral Equations, P. Noordhoff, Groningen (1953).

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Authors
  1. V. D. Luk'janov
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 129–132.

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Luk'janov, V.D. Application of the matrix riemann problem to the study of excitation of natural waves in an acoustic waveguide by a piston radiator. J Math Sci 96, 3363–3365 (1999). https://doi.org/10.1007/BF02172814

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  • DOI: https://doi.org/10.1007/BF02172814

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