Laser beam surface treatment requires a well-defined temperature profile. In this paper an analytic method is presented to solve the inverse problem of heat conduction in solids, based on the 2-dimensional Fourier transform. As a result, the required power density profile of the laser beam can be calculated for any desired temperature field. Methods to reduce the effects of errors introduced by calculations on a finite grid and physically impossible temperature gradients are addressed. A program, which interactively calculates the power density distribution for a user defined temperature field, will be presented. Results are given for the laser beam hardening process.
- Heat transfer
- Surface treatment