A mathematical model for driven dewetting and self -assembly of pulsed laser-irradiated metallic films
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In this Dissertation a mathematical model for the flow of pulsed laser-irradiated molten metallic film is developed using the lubrication theory. The heat transfer problem that incorporates the absorbed heat from a single laser beam or interfering laser beams is solved analytically. Using this temperature field, we derive a new 3D long-wave evolution PDE for the film height. To get insights into dynamics of dewetting, we study the 2D version of the evolution equation by means of a linear stability analysis and by numerical simulations. The stabilizing and destabilizing effects of various system parameters, such as the peak laser beam intensity, the film optical thickness, the reflectivity, the Biot and Marangoni numbers, etc. are elucidated. It is observed that the film stability is promoted for such parameter variations that increase the heat production in the film. In the numerical simulations the impacts of different irradiation modes are investigated. In particular, we obtain that in the interference heating mode the spatially periodic irradiation results in a spatially periodic film rupture with the same, or nearly equal period. The 2D model qualitatively reproduces the results of the experimental observations of a film stability and spatial ordering of re-solidified nanostructures.