Solving the Wave Equation in Waveguides of Varying Cross Sections Using Spherical Coordinates

Amir N. Solving the Wave Equation in Waveguides of Varying Cross Sections Using Spherical Coordinates. In: AES Convention 98. Audio Engineering Society; 1995. Paper 3984. Available from: https://aes.org/publications/elibrary-page/?id=7782

@inproceedings{Amir1995_7782,
  author = {Amir, Noam},
  title = {{Solving the Wave Equation in Waveguides of Varying Cross Sections Using Spherical Coordinates}},
  booktitle = {AES Convention 98},
  note = {Paper 3984},
  year = {1995},
  month = feb,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=7782}
}

TY  - CPAPER
TI  - Solving the Wave Equation in Waveguides of Varying Cross Sections Using Spherical Coordinates
AU  - Amir, Noam
T2  - AES Convention 98
M1  - Paper 3984
PY  - 1995
DA  - 1995/02/06
UR  - https://aes.org/publications/elibrary-page/?id=7782
PB  - Audio Engineering Society
LA  - en
AB  - When the boundaries of a waveguide are closer in shape to a cone than to a cylinder, a modal decomposition in spherical coordinates, as carried out here, is more efficient than one carried out in cartesian or cylindrical coordinates. For the case of a waveguide varying only slightly from a cone, a degenerate one-dimensional equation analogous to the horn equation is presented.
ER  -