The thermal interaction of lasers with matter is studied in this work. Using the Green's function approach, equations governing this interaction are solved semi-analytically. Real conditions, such as the temperature dependence of thermal coefficients, and the surface radiation of matter, were taken into account when solving these equations. A computational code was written in the C programming language to simulate the problem. The proposed method decreases both calculation and simulation times considerably. The proposed method and the developed code are validated by experimental tests, and by means of comparison with another previously-published approach. Since a combination of numerical and analytical methods are used, the developed code is much faster than the numeric software. In addition, the proposed method is more accurate than analytical methods, due to the use of nonlinear boundary conditions. The thermal effects of a CW fiber laser on Al is also investigated. Results show that there is a threshold power density for achieving a melting point due to surface radiation. Higher power densities result in a shorter interaction time to achieve a melting point.

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