On the numerical simulation of the laser absorption by Eulerian methods

For the simulation of the laser absorption in a plasma hydrodynamic code, one uses generally a ray tracing method. We show here where are the main difficulties related to a numerical solution of the eikonal equation by an alternative method called Eulerian. We indicate also what way are considered to clear up these difficulties. One of the main assets of the Eulerian method is to give a more regular estimation of the energy absorbed in each elementary volume than the ray-tracing method