A well-defined family of lee waves over southern Tasmania, Australia, is an
alyzed using a routine radiosonde sounding released from Hobart at 1100 UTC
June 18, 1991. Pronounced fluctuations in the ascent rate of the radiosond
e are analysed using a new technique called the horizontal projection metho
d. The dominant horizontal wavelength is found to be 8249 m. An advanced ve
ry high resolution radiometer (AVHRR) infrared satellite image at 1554 UTC
is used to check this calculation and gives a horizontal wavelength of 8.9
+/- 1.4 km. The horizontal projection method takes account of the vertical
variation of background flow and the trajectory of the radiosonde. When the
Scorer parameter is a strong function of height, as is the case with the 1
100 UTC sounding, it is inappropriate to assume that the vertical wavenumbe
r is constant with height. In particular, the vertical wavelength at low le
vels is about 4.5 km, the waves become evanescent between the heights of 2.
5 km and 9 km, and above that the vertical wavelength is typically 10-15 km
. As a consistency check, linear wave theory is used to calculate the reson
ant wave modes supported by the background profiles of wind and potential t
emperature. These are the wave modes that are most likely responsible for t
he lee-wave clouds seen in the AVHRR satellite image. The horizontal wavele
ngth for the resonant wave mode is 8188 m, in agreement with the estimates
based on the AVHRR satellite image and from the horizontal projection metho
d. The paper highlights the dangers of interpreting radiosonde soundings as
vertical "snapshots" of the atmosphere and assuming that the vertical wave
number can be characterized by a single value. It is shown that treating th
e radiosonde sounding as a vertical profile and analysing wave-like structu
res in the ascent rate using standard spectral methods gives an incorrect v
ertical wavelength of 1906 +/- 238 m. The paper concludes that operational
radiosonde soundings can be used to make accurate, quantitative measurement
s of orographically generated waves, provided that the vertical variation i
n the background flow and the motion of the radiosonde through the wave fie
ld are taken into account.