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Propagation of Ultra-Short-Pulse Radiation in Participating Media: A Laguerre-Galerkin Solution

[+] Author Affiliations
Tuba Okutucu

Middle East Technical University, Ankara, Turkey

Yaman Yener

Northeastern University, Boston, MA

Paper No. IMECE2007-41911, pp. 583-584; 2 pages
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 11: Micro and Nano Systems, Parts A and B
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4305-X | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME


Transient analysis of the radiative transfer problem in participating media has become essential due to the recent applications involving extremely small time scales. In classical radiation problems, the time derivative term in the radiative transfer equation has a negligible order of magnitude compared to the others. Lasers of pico- to femtosecond pulse durations are now being used to investigate the properties of scattering and absorbing media in such applications as, optical tomography, combustion product analysis, and remote sensing. For such applications, the time derivative in the radiative transfer equation can no longer be neglected. Numerous approaches such as, integral formulation, direct numerical approach, discrete ordinates method, Monte Carlo simulations, and Galerkin technique have been introduced for the solution of transient radiative transfer problems in participating media. In the present work, Laguerre-Galerkin solutions for both rectangular and Gaussian incident pulse profiles are presented.

Copyright © 2007 by ASME



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