Two-photon polarisation spectroscopy and two-photon laser-induced fluoresce
nce have been used as sensitive techniques for the measurement of high and
low atomic hydrogen number densities, respectively, in high-temperature env
ironments far away from local thermodynamic equilibrium. In addition, Stark
-broadened spectral line profiles of the 1S-2S transition of atomic hydroge
n were measured with Doppler-free two-photon polarisation spectroscopy in o
rder to test Stark broadening theory at low electron densities. The paper e
xpounds briefly some of the basic properties of these techniques and presen
ts experimental results.