Modeling of annular long pulsed laser heating solid material using closed-form solutions

In this paper, modeling of annular long pulsed laser heating solid material was presented using closed-form solutions. Heat conduction model of annular long pulsed laser heating was established and analytical solutions for temperature were obtained by integral transform method. Annular long pulsed laser heating silicon material was modeled for different parameters. Modeling results show that, when the silicon material is irradiated by an annular long pulsed laser, the temperature rise in the region of laser irradiation is higher than that in the region of no laser irradiation. On the silicon surface, the temperature rise is the largest. And as the depth increases, the temperature rise decreases gradually. When the inside radius of the annular laser is fixed, the greater the outside radius, the larger region of the higher temperature rise. But the difference of temperature rise is not obvious for different laser irradiation areas. When the width between inside radius and outside radius of the annular laser is fixed, with the irradiation center location toward the edge of the material, the region of higher temperature rise is also close to the edge of the material, and the maximum of the temperature rise is located in the irradiation center. With the increase of pulse width of the annular long pulsed laser, the maximum value of the temperature rise is also gradually increased.