Observation of laser-induced continuum structure (LICS) in sodium due to th
e coupling of a bound state to the continuum by a strong laser field has be
en reported elsewhere. Such experiments have mostly employed a single laser
photon to probe the structured continuum from the ground state. Other expe
riments have used multiphoton (third harmonic) probe schemes, but only one
of these has successfully observed LICS, in agreement with theoretical pred
ictions. We report here a very similar experiment generating third-harmonic
radiation in sodium to probe the anticipated LICS produced by coupling the
5s state to the p continuum. However. under no conditions was any continuu
m structure observed, in agreement with in a number of other experiments, b
ut at variance with theoretical predictions.