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The generalized heat equation for laser- crystalline solid interaction

M. OANE1,* , F. SCARLAT1,2, I. N. MIHAILESCU1, C. OPROIU1, A. PELED3

Affiliation

  1. National Institute for Laser, Plasma and Radiation Physics, P.O.Box MG 36 Magurele R-76900 Bucharest, Romania
  2. Department of Physics, Valahia University of Targoviste, 0200 Targoviste, Romania
  3. Holon Institute of Technology , 52 Golomb Str,. Holon 58102, Israel

Abstract

The present paper is an approach to solve the semi-classical heat equation for the laser-solid interaction. The term “semi classical heat equation” is due to the introduction in the source term of quantum phenomena such as absorption of nph photon. Consequently we consider that the interaction is done via n-photon absorption, where nph can vary from1 to nmax. The solid is supposed to have a layered structure, each layer having a linear form for the thermal conductivity. In our model the laser is acting in few decoupled Hermite-Gauss modes. For solving the heat equation, the powerful method of integral transforms was used. In fact we generalized our previous theorem [Oane. M, S. L. Tsao, F. Scarlat, Temperature field distribution in multi-layered solid media heated with multi-modes laser beam, Optics Laser Technol 2006, in press]..

Keywords

Multi-photon, Multi-layers, Heat equation.

Submitted at: June 12, 2006
Accepted at: July 20, 2006

Citation

M. OANE, F. SCARLAT, I. N. MIHAILESCU, C. OPROIU, A. PELED, The generalized heat equation for laser- crystalline solid interaction, Journal of Optoelectronics and Advanced Materials Vol. 8, Iss. 4, pp. 1391-1394 (2006)