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Heat and Mass Transfer

, Volume 46, Issue 11–12, pp 1287–1293 | Cite as

Thermal analysis of thin multi-layer metal films during femtosecond laser heating

  • A. Karakas
  • M. Tunc
  • Ü. CamdaliEmail author
Original

Abstract

Multi-layer metals films are widely used in modern engineering applications such as gold-coated metal mirrors used in high power laser systems. A transient heat flux model is derived to analyze multi-layer metal films under laser heating. The two separate system composed of electrons and the lattice is considered to take into account the electron–lattice interaction. The present model predicted the effects of underlying chromium’s thermal properties on temperature rise of the top gold layer. The effects of two adjacent and different metals with different electron–lattice coupling factors are analyzed for the heating mechanism of different lattices. The derived transient model combined with the two different conservation equations for the lattice and electrons are applied for the ultra short-pulse laser heating of a multi-layer film composed of gold and chromium.

Keywords

Laser Heating Lattice Temperature Chromium Layer Thin Metal Film Boltzmann Transport Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

C

Heat capacity (J m−3 K−1)

G

Electron lattice coupling factor (W m−3 K−1)

J

Laser pulse intensity (J m−3)

kB

Boltzmann constant (J K−1)

L

Film thickness (m)

Q

Heat flux (W m−2)

R

Surface reflectivity

S

Source term (W m−3)

t

Time (s)

tp

Laser pulse duration (s)

T

Temperature (K)

x

Spatial coordinate (m)

Greek symbols

δ

Radiation penetration depth (m)

κ

Thermal conductivity (W m−1 K−1)

τ

Electron relaxation time (s)

Subscripts

E

Electron

L

Lattice

Notes

Acknowledgments

The authors would like to acknowledge Deniz Seker, M.S. for his contribution on computer applications.

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.University of California at DavisDavisUSA
  2. 2.Department of System EngineeringYeditepe UniversityIstanbulTurkey
  3. 3.Mechanical Engineering Department, Faculty of Engineering and ArchitectureAbant Izzet Baysal UniversityBoluTurkey

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