Numerical computation of temperature on steel and an insulator with simulation compared to experimental data

In this report, we are computing the temperature from the heat equation for a disk of a given thickness. A laser beam of Gaussian profile is assumed at the surface of a circular sample. Prediction of temperature for a laser pulse with a Gaussian profile is shown for a circular symmetry. Temperature distributions are performed analytically and numerically for a power with a Gaussian profile at different depths from the surface. In the previous computation the laser beam was assumed to be small compared to the disk's radius. The calculations performed are useful to predict the proper spacing between marks during a laser procedure. Computations of the temperature for a beam spot size much larger than the sample dimensions are also shown for a modulated laser beam. The computation of temperature for the modulated laser beam is also compared to experimental data points obtained on bone.