Mathematical models for laser-plasma interaction

Mathematical Models for Laser-plasma Interaction

We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we st...

Laser-produced plasma-wall interaction

Jets of laser–generated plasma represent a flexible and well-defined model environment for investigation of plasma interactions with solid surfaces (walls). The pilot experiments carried out on the iodine laser system (5–200 J, 0.44 mm, 0.25–0.3 ns, ,1 10 W/cm) at the PALS Research Centre in Prague are reported. Modification of macroscopic characteristics of the Al plasma jets produced at laser...

Laser-electron Compton Interaction in Plasma Channels

Ion acceleration by superintense laser-plasma interaction

Ion acceleration driven by superintense laser pulses is attracting an impressive and steadily increasing effort. Motivations can be found in the applicative potential and in the perspective to investigate novel regimesasavailable laser intensitieswill be increasing.Experimentshavedemonstrated, over awide range of laser and target parameters, the generation of multi-MeV proton and ion beams with...

Mathematical models of plant-soil interaction.

In this paper, we set out to illustrate and discuss how mathematical modelling could and should be applied to aid our understanding of plants and, in particular, plant-soil interactions. Our aim is to persuade members of both the biological and mathematical communities of the need to collaborate in developing quantitative mechanistic models. We believe that such models will lead to a more profo...