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After briefly recalling the main features of laser-produced plasmas and the problems involved in the production of nuclear DD-reactions, the author deals with the fundamental data on heating mechanisms. Experimental results and heating limitations are then presented. Finally, a review of present and future possibilities of both laser and plasma parameters is given.

A 2 GW laser interacts with a solid deuterium target. Framing and streak pictures give the evolution of the plasma for different cases of focusing. A tentative interpretation is suggested.