A solution to the cylindrical wave equation (2.23) is

$\tilde{p}\left(w\right)={\tilde{p}}_{+}{H}_{0}^{\left(2\right)}\left(kw\right)+{\tilde{p}}_{-}{H}_{0}^{\left(1\right)}\left(kw\right)\text{,}$

(2.125)

where
${\tilde{p}}_{+}$
is the amplitude of the sound pressure in the outgoing wave at unit distance from the axis of symmetry and
${\tilde{p}}_{-}$
is the same for the reflected wave. H
_{0}
^{(1)} (x) and ...

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