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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) 
This thesis has moved to
Jonathan Kemp Thesis at http://www.kempacoustics.com/thesis
Please change your bookmark/reference to reflect this change as this site may be discontinued
Next: Multimodal equations at a
Up: Solutions for a uniform
Previous: Lossless propagation
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Jonathan Kemp
20030324