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Lossy propagation may be represented as with
circular crosssection by working
out the lossy direction wavenumber, (Bruneau et al [44]).
Starting from the lossy boundary condition gives as

(2.70) 
where is the square of the nonlossy version of which in
rectangular geometry is

(2.71) 
The real part of the correction to is [44]

(2.72) 
where the boundary specific admittances are

(2.73) 

(2.74) 
with
and
.
The imaginary part of the correction to is [44]

(2.75) 
Using the same method as for cylindrical geometry, is the sum of real
and imaginary parts

(2.76) 
where and are given by

(2.77) 
and

(2.78) 
Back to Kemp Acoustics Home
Next: Multimodal equations at a
Up: Solutions for a uniform
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Jonathan Kemp
20030324