Analysis of Signals Originating from a 1-D Planar Participating Medium Subjected to Short-Pulse Laser Sources at Both the Boundaries


R. Muthukumaran1, Subhash C. Mishra2 and S. Maruyama3

1Department of Mathematics, DTU Mathematics, Denmark Technical University, 2800 Kgs., Lyngby Denmark.

m.ramalingam@mat.dtu.dk

2Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.

scm_iitg@yahoo.com

3Institute of Fluid Science, Tohoku University, Aoba-ku, Sendai-Miyagi, Japan.

maruyama@ifs.tohoku.ac.in

ABSTRACT

The response of a radiatively participating medium to subjected to a short-pulse laser beam has been reported rather extensively in the literature. The irradiation of a participating medium such as a tissue and a metal substrate, with more than one short-pulse laser beam is quite probable in this age of wide usage of short-pulse lasers for various applications. Many practical situations can be cited in which such a problem needs quantitative solutions. This article deals with the physical phenomena involving irradiation of a 1D participating medium by two laser beams at the boundaries. The short-pulse laser beams can be of different magnitudes and pulse widths, and a time lag between their applications may exist. The boundaries of the homogeneous medium are transparent. The short-pulse laser beams are of step temporal profile. The time-evolution of thermal signals at both the boundaries are discussed and correlated. Finite volume method is used to analyze the problem.

Keywords: Short-pulse laser, Participating medium, Inhomogeneity, Finite volume method.



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