Simulating Axisymmetric Concave Radiators Using Mode Matching Methods

Kolbrek B, Evensen KB, Svensson UP. Simulating Axisymmetric Concave Radiators Using Mode Matching Methods. J Audio Eng Soc. 2016;64(5):311-319. doi:10.17743/jaes.2016.0011

@article{Kolbrek2016_18136,
  author = {Kolbrek, Bjørn and Evensen, Karen Brastad and Svensson, U. Peter},
  title = {{Simulating Axisymmetric Concave Radiators Using Mode Matching Methods}},
  journal = {Journal of the Audio Engineering Society},
  volume = {64},
  number = {5},
  pages = {311--319},
  year = {2016},
  month = may,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2016.0011},
  url = {https://doi.org/10.17743/jaes.2016.0011}
}

TY  - JOUR
TI  - Simulating Axisymmetric Concave Radiators Using Mode Matching Methods
AU  - Kolbrek, Bjørn
AU  - Evensen, Karen Brastad
AU  - Svensson, U. Peter
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 64
IS  - 5
SP  - 311
EP  - 319
PY  - 2016
DA  - 2016/05/06
DO  - 10.17743/jaes.2016.0011
UR  - https://doi.org/10.17743/jaes.2016.0011
PB  - Audio Engineering Society
LA  - en
AB  - Because Finite Element and Boundary Element methods used to simulate cone loudspeaker directivity are slow and demanding on memory, this research explores the use of mode matching methods. A mode matching method for simulating concave, axisymmetric geometries offers a viable alternative. This method is based on a method presented by Pagneux et al. for simulation of horns, but has been extended so that vibrating walls can be taken into account. With the previous method it was possible to find impedance, pressure, and volume velocity by working step by step from one end of the structure to the other. With the new method, pressure and volume velocity at all points in the structure are found simultaneously by solving a large but sparse linear system of equations. Two examples of loudspeaker diaphragm shapes demonstrate how the method could be used to optimize diaphragm shape.
ER  -