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One-Equation, Two-Equation and Kinetic Theory: Laser Pulse Heating

In the present study, comparisons of electron kinetic theory predictions with results of two-equation and one-equation models are made. The numerical solutions for all models employed are introduced for exponentially decaying and step input intensity pulses. The closed form solution for the electron kinetic theory approach is obtained for the exponentially decaying pulse. The study is extended to include comparisons of the closed form solution of the kinetic theory approach with the analytical solutions previously obtained according to the Fourier theory. It is found that all the models considered result in similar temperature profiles inside and at the surface of the substrate for laser pulses up to 10-9 s. As the pulse length reduces further (<10-9 s) and intensity increases (>1013 W/m2), the kinetic theory predictions deviate considerably from the Fourier theory results.