Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition

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9.13. Finite horns

Transmission parameters

A horn can be represented as a 2-port network, which is described by the following transmission-parameter matrix:

[\begin{matrix} {\tilde{p}}_{T} \\ {\tilde{U}}_{T} \end{matrix}] = [\begin{matrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{matrix}] \cdot [\begin{matrix} {\tilde{p}}_{M} \\ {\tilde{U}}_{M} \end{matrix}] = A \cdot [\begin{matrix} {\tilde{p}}_{M} \\ {\tilde{U}}_{M} \end{matrix}]

(9.59)

where

{\tilde{p}}_{T}

and

{\tilde{U}}_{T}

are the pressure and volume velocity respectively at the throat and

{\tilde{p}}_{M}

and

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