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Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition by Tim Mellow, Leo Beranek

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2.9. Freely traveling cylindrical wave

Sound pressure

A solution to the cylindrical wave equation (2.23) is
p ˜ ( w ) = p ˜ + H 0 ( 2 ) ( k w ) + p ˜ H 0 ( 1 ) ( k w ) ,
image (2.125)
where p ˜ + image is the amplitude of the sound pressure in the outgoing wave at unit distance from the axis of symmetry and p ˜ image is the same for the reflected wave. H 0 (1) (x) and ...

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