6. Acoustic transfer function of an isothermal line
The value of introducing the matrices or thermoacoustic transfer functions of a circuit's components is obvious when modeling for optimization. The theory developed above also makes it possible to characterize an isothermal component by its characteristic matrix M
di
. Thus, for the case of isothermal walls, let B
T
≥ 0, neglecting thermal relaxation 1/r
T
, and positing for acoustic admittance A
U
≥ jωc
u
, with Δ ≥ – 4C
T
≥ 4Z
U
A
U
, we finally find the following matrix:
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