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

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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
Rocznik
Strony
383--392
Opis fizyczny
Bibliogr. 16 poz., rys., wykr.
Twórcy
autor
  • Institute of Computational Mechanics and Engineering, Silesian University of Technology Konarskiego 18a, 44-100 Gliwice, Poland, ewa.majchrzak@polsl.pl
Bibliografia
  • [1] J.K. Chen, J.E. Beraun. Numerical study of ultrashort laser pulse interactions with metal films. Numerical Heat Transfer, Part A, 40: 1–20, 2001.
  • [2] G. Chen, D. Borca-Tasciuc, R.G. Yang. Nanoscale heat transfer. Encyclopedia of Nanoscience and Nanotechnology, X: 1–30, 2004.
  • [3] W. Dai, R. Nassar. A compact finite difference scheme for solving a one-dimensional heat transport equation at the microscale. Journal of Computational and Applied Mathematics, 132: 431–441, 2001.
  • [4] K. Dems, B. Rousselet. Sensitivity analysis for transient heat conduction in a solid body. Structural Optimization, 17: 36–45, 1999.
  • [5] R.A. Escobar, S.S. Ghau, M.S. Jhon, C.H. Amon. Multi-length and time scale thermal transport using the lattice Boltzmann method with application to electronic cooling. J. of Heat and Mass Transfer, 49: 97–107, 2006.
  • [6] M. Kleiber. Parameter sensitivity in nonlinear mechanics. J.Willey & Sons Ltd., London, 1997.
  • [7] K. Kurpisz, A.J. Nowak. Inverse Thermal Problems. Computational Mechanics Publications, SouthamptonBoston, 1995.
  • [8] Z. Lin, L.V. Zhigilei. Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium. Physical Review, B 77: 075133-1-075133-17, 2008.
  • [9] E. Majchrzak, B. Mochnacki. Identification of thermal properties of the system casting – mould. Materials Science Forum 539–543, 2491–2496, 2007.
  • [10] E. Majchrzak, B. Mochnacki, A.L. Greer, J.S. Suchy. Numerical modeling of short pulse laser interactions with multi-layered thin metal films. CMES: Computer Modeling in Engineering and Sciences, 41(2): 131–146, 2009.
  • [11] E. Majchrzak, J. Poteralska. Numerical analysis of short-pulse laser interactions with thin metal film. Archives of Foundry Engineering, 10(4): 123–128, 2010.
  • [12] E. Majchrzak, J. Poteralska. Sensitivity analysis of two-temperature microscale heat transfer model with respect to the electron-phonon coupling factor. 19th International Conference on Computer Methods in Mechanics, 9–12 May 2011, Warsaw, CD-ROM Proceedings, 8 pages.
  • [13] B. Mochnacki, E. Majchrzak, R. Szopa, J.S. Suchy. Inverse problems in the thermal theory of foundry. Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa, 1(5): 154–179, 2006.
  • [14] B. Mochnacki, R. Szopa. Identification of alloy latent heat using the data of thermal and differential analysis. Journal of Theoretical and Applied Mechanics, 49(4): 1019–1028, 2011.
  • [15] T.Q. Qiu, C.L. Tien. Femtosecond laser heating of multi-layer metals – I Analysis. International Journal of Heat and Mass Transfer, 37: 2789–2797, 1994.
  • [16] Z.M. Zhang. Nano/microscale heat transfer. McGraw-Hill, 2007.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPBF-0002-0007
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