6533b871fe1ef96bd12d2479
RESEARCH PRODUCT
Modeling of surface structure formation after laser irradiation
Sharif E. GuseynovJanis RimshansArtur MedvidJevgenijs Kaupuzssubject
Surface (mathematics)Chemistrybusiness.industryGeneral EngineeringStefan problemProcess (computing)MechanicsLaserNonlinear differential equationslaw.inventionOpticslawSimple (abstract algebra)Surface structureIrradiationbusinessdescription
The Stefan problem in a semi-infinite media under laser irradiation is considered. It is related to the melting and solidification processes, resulting in certain surface structure after the solidification. A simple model, as well as a more sophisticated one is proposed to describe this process. The latter model allows us to calculate the surface profile by solving a system of two nonlinear differential equations, if the shape of the solid-liquid interface is known. It has to be found as a solution of two-phases Stefan problem. The results of example calculations by the fourth-order Runge-Kutta method are presented, assuming that the solid-liquid interface has a parabolic shape. The calculated crossection of the surface structure shows a characteristic cone in the center, in agreement with experimental observations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-04-01 |