The Green function for the Neumann boundary value problem at the semiinfinite cylinder and the flat infinite baffle

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Authors

  • Wojciech Rdzanek University of Rzeszów, Institute of Physics, Department of Acoustics, Rejtana 16A, 35-310 Rzeszów, Poland
  • Witold Rdzanek University of Rzeszów, Institute of Physics, Department of Acoustics, Rejtana 16A, 35-310 Rzeszów, Poland
  • Anna Różycka University of Rzeszów, Institute of Physics, Department of Acoustics, Rejtana 16A, 35-310 Rzeszów, Poland

Abstract

This paper presents the Green function for the Neumann boundary value problem at the rigid semiinfinite cylinder and the flat rigid infinite baffle. The function has been expressed as the combination of the Hankel functions of the first and second kinds, and their derivatives – all $n$-th order. The acoustic pressure has been presented in the two cases: the time harmonic vibrations of a sector cylinder piston located on the semiinfinite cylinder, and the annular sector piston located on the flat baffle in the vicinity of the semiinfinite cylinder.

Keywords:

sound pressure, Green function, Neumann boundary value problem.