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In this paper we consider laser intensities larger than $10^{16} W/cm^2$where the ablation pressure is negligible in comparison with the radiationpressure. The radiation pressure is caused by the ponderomotive force actingmainly on the electrons that are separated from the ions to create a doublelayer (DL). This DL is accelerated into the target, like a piston that pushesthe matter in such a way that a shock wave is created. Here we discuss twonovel ideas. First is the transition domain between the relativistic andnon-relativistic laser induced shock waves. Our solution is based onrelativistic hydrodynamics also for the above transition domain. Therelativistic shock wave parameters, such as compression, pressure, shock waveand particle flow velocities, sound velocity and rarefaction wave velocity inthe compressed target, and the temperature are calculated. Secondly, we wouldlike to use this transition domain for shock wave induced ultrafast ignition ofa pre-compressed target. The laser parameters for these purposes are calculatedand the main advantages of this scheme are described. If this scheme issuccessful a new source of energy in large quantities may become feasible.

Ultrafast ignition with relativistic shock waves induced by high power lasers