A method and apparatus for generating an acoustic signal having a single
mode of propagation along borehole walls. The method includes generating
an n-pole (monopole, dipole, quadrupole, and so on) acoustic signal and
calculating the tool position and borehole shape from the signals
received at one or more receivers. If the tool contains matched sources
and balanced receivers, is in the center of the borehole, and the
borehole is circular, the pure, single mode acoustic signal will
propagate along the borehole walls with a single mode of propagation. If
the acoustic signal traveling along borehole walls does not have a single
mode of propagation, the signal's amplitudes and time delays are adjusted
to produce a second acoustic signal. The second acoustic signal's
amplitudes and time delays are further adjusted until the signal
traveling along the borehole walls has a single mode of propagation.