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

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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.

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Abbreviations

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)

k B :

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)

t p :

Laser pulse duration (s)

T :

Temperature (K)

x :

Spatial coordinate (m)

δ :

Radiation penetration depth (m)

κ :

Thermal conductivity (W m−1 K−1)

τ :

Electron relaxation time (s)

E:

Electron

L:

Lattice

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Acknowledgments

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

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Authors and Affiliations

  1. University of California at Davis, Davis, USA

    A. Karakas

  2. Department of System Engineering, Yeditepe University, Kayısdag, 81130, Istanbul, Turkey

    M. Tunc

  3. Mechanical Engineering Department, Faculty of Engineering and Architecture, Abant Izzet Baysal University, Golkoy Campus, 14280, Bolu, Turkey

    Ü. Camdali

Authors
  1. A. Karakas
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  2. M. Tunc
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  3. Ü. Camdali
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Correspondence to Ü. Camdali.

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Karakas, A., Tunc, M. & Camdali, Ü. Thermal analysis of thin multi-layer metal films during femtosecond laser heating. Heat Mass Transfer 46, 1287–1293 (2010). https://doi.org/10.1007/s00231-010-0653-z

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