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! = kU ± ! (10.5.8)
o
The frequency of the free wave is therefore the natural frequency ±! , sometimes
o
called the intrinsic frequency, Doppler shifted by the amount kU. If the wave is
propagating with the current the frequency is raised. If it is propagating against the
!
current the frequency is lowered and should U = c = o the wave propagating against
o
k
the current will be stationary.
Chapter 10 34
