Time Dependent Effects in Laser Heating of Organic Materials

  • F. T. Arecchi
  • C. Castellini
  • J. Tredicce
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 84)


During the last years, a special interest in heating, drilling and cutting of solids by medium and high power lasers was shown. From the theoretical point of view, the exact solution of the basic heat equation
$$ {\nabla ^2}{\rm{T - \lambda /}}{{\rm{K}}_{\rm{Q}}}{{\partial {\rm{T}}} \over {\partial {\rm{t}}}} = - {{{\rm{A(x,y,z,t)}}} \over {\rm{K}}}$$
where T = temperature KQ = thermal diffusivity K = thermal conductivity t = time A(x,y,z,t) : rate of heat per unit time per unit volume supplied to the solid presents very difficult problems and can only be obtained in an analytic form when a variety of assumptions concerning the spatial and temporal dependance of the laser radiation and the geometry of the workpiece are made 1–2.


High Power Laser Laser Heating Time Dependent Effect Laser Drilling Tentative Explanation 
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  1. 1.
    H. S. Carslaw and J. C. Jaeger, “ Conduction of Heat in Solids” , 2nd ed. Oxford Univ.Press (Clarendon), London and New York (1959).Google Scholar
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    U. C. Paek and F. P. Gagliano, IEEE J. Quantum Electronics, QE-8, 112 (1972).CrossRefGoogle Scholar
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    S. I. Anisimov, A. M. Bonch-Bruevich, M. A. Elyash-vich, Ya. A. Imas, N. A. Pavlenko, and G. S. Romanov, Sov. Phys.-Tech. Phys., 11, 945 (1967).Google Scholar
  4. 4.
    V. B. Braginskii, I. I. Minakova, and V. N. Rudenko, ov. Phys.-Tech. Phys., 12, 753 (1967).Google Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • F. T. Arecchi
    • 1
  • C. Castellini
    • 1
  • J. Tredicce
    • 1
  1. 1.Istituto Nazionale di OtticaArcetri -FirenzeItalia

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