# Identification of electron-phonon coupling factor in a thin metal film subjected to an ultrashort laser pulse

### Abstract

A thin metal film subjected to a laser pulse is considered. The problem is described by the system of energy equations describing the electron gas and lattice temperatures. The thermal interactions between electrons and lattice are determined by the parameter *G* called the electron-phonon coupling factor. To estimate the unknown parameter *G* the identification problem is formulated. The additional information necessary to solve an inverse problem is the knowledge of transient measurements of the reflectivity or transmissivity variation which is proportional to the variation of the electron temperature. So, at the stage of inverse problem solution, it is possible to assume the knowledge of electrons temperature on the irradiated surface of the system *(x = 0)*. To solve the identification problem the gradient method basing on the least squares criterion and sensitivity coefficients is used. In the final part of the paper the results of computations are shown.

### Keywords

microscale heat transfer, laser heating, two-temperature model, inverse problem, finite dif- ference method,### References

**Computer Assisted Methods in Engineering and Science**, [S.l.], v. 19, n. 4, p. 383-392, jan. 2017. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/88>. Date accessed: 26 jan. 2022.