The results of the activity of the Kharkov and Moscow HIBP groups duri
ng recent years are presented in this paper. This is a review of paper
s published in the USSR and also contains extracts of some unpublished
reports. The mathematical aspects of the diagnostics including the pr
oblems of the planning and design of an experiment along with the prob
lems of the interpretation of the experimental data for plasma density
and current determination are reviewed. The probing apparatus used in
the experiment for plasma potential and density measurements are desc
ribed. Some results of measurements are discussed and the trends to sp
read the use of HIBP in modern research are noted.