Sound Radiation of a Pulsating Sphere in the Outletof a Hard/Soft Semi-Spherical Cavity in a Flat Screen

Journal title

Archives of Acoustics




vol. 41


No 1

Publication authors


Neumann/Dirichlet problem; sound field; acoustic impedance; continuity

Divisions of PAS

Nauki Techniczne


Archives of Acoustics is an English-language peer-reviewed quarterly journal publishing original research papers from all areas of acoustics and abstracts from some specialised acoustical conferences. It gives free internet access to its full content (abstracts of research papers) to current issues.

Archives of Acoustics, the peer-reviewed quarterly journal publishes original research papers from all areas of acoustics like:

  • acoustical measurements and instrumentation,
  • acoustics of musics,
  • acousto-optics,
  • architectural, building and environmental acoustics,
  • bioacoustics,
  • electroacoustics,
  • linear and nonlinear acoustics,
  • noise and vibration,
  • physical and chemical effects of sound,
  • physiological acoustics,
  • psychoacoustics,
  • quantum acoustics,
  • speech processing and communication systems,
  • speech production and perception,
  • transducers,
  • ultrasonics,
  • underwater acoustics.

Earlier issues are available on the old website


A rigorous analysis of sound radiation by a pulsating sphere forming a resonator together with a semi-spherical cavity is presented. Both hard/soft boundaries are considered, as well as mixed. The problem is solved by dividing the entire region into two subregions, one surrounding the sphere and containing the cavity and the other for the remaining half-space. Continuity conditions are applied to obtain the acoustic pressure. Then the acoustic radiation resistance is calculated both in the near- and far-field. The acoustic radiation reactance is calculated in the impedance approach. The resonance frequencies are determined, for which a significant growth of the sound pressure level is observed as well as the sound field directivity. These rigorous results are presented in the form of highly convergent, accurate and numerically efficient series.


Committee on Acoustics PAS, PAS Institute of Fundamental Technological Research, Polish Acoustical Society


ISSN 0137-5075 ; eISSN 2300-262X