Achievements of the authors in the field of technical and numerical problems of multi-frame interferometry are presented. A three-channel interferometric system with an automatic image processing for laser-produced plasma is described. The measurements of electron density distributions in a plasma generated by a laser and confined by a strong magnetic field (up to 15 T) are the main part of this work. Numerical analysis of interferograms of the plasma and numerical methods of the reconstruction of electron density spatial profiles, both in an axially symmetrical plasma and in a plasma stream of disturbed axial symmetry are presented in more detail.
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