Grant: Discovery Grants Program - Individual

In our everyday life, lasers are everywhere ! DVD players, laser surgery, communications, etc. Although many of their properties are known and used in practical applications, many have still to be discovered, especially in extreme regimes of intense and ultrashort lasers. Mathematical modelling and numerical simulation play an important role in the understanding, control and ultimately the conception of new laser technologies. The mathematical models are necessarily complex, since they involve interactions of matter at both the molecular and macroscopic scales. In order to implement these complex models, numerical simulation must be used. This program is directed at the developement of new efficient mathematical and computational tools to study the interaction of lasers within gaseous environments. This research will have a large impact in the laser community, as we will propose original, precise and performing simulation tools. This research will necessitate the involvement of several high qualified students.