## One-dimensional transient radiative transfer by lattice Boltzmann method |

Optics Express, Vol. 21, Issue 21, pp. 24532-24549 (2013)

http://dx.doi.org/10.1364/OE.21.024532

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### Abstract

The lattice Boltzmann method (LBM) is extended to solve transient radiative transfer in one-dimensional slab containing scattering media subjected to a collimated short laser irradiation. By using a fully implicit backward differencing scheme to discretize the transient term in the radiative transfer equation, a new type of lattice structure is devised. The accuracy and computational efficiency of this algorithm are examined firstly. Afterwards, effects of the medium properties such as the extinction coefficient, the scattering albedo and the anisotropy factor, and the shapes of laser pulse on time-resolved signals of transmittance and reflectance are investigated. Results of the present method are found to compare very well with the data from the literature. For an oblique incidence, the LBM results in this paper are compared with those by Monte Carlo method generated by ourselves. In addition, transient radiative transfer in a two-Layer inhomogeneous media subjected to a short square pulse irradiation is investigated. At last, the LBM is further extended to study the transient radiative transfer in homogeneous medium with a refractive index discontinuity irradiated by the short pulse laser. Several trends on the time-resolved signals different from those for refractive index of 1 (i.e. refractive-index-matched boundary) are observed and analysed.

© 2013 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(140.7090) Lasers and laser optics : Ultrafast lasers

(290.7050) Scattering : Turbid media

(010.5620) Atmospheric and oceanic optics : Radiative transfer

**ToC Category:**

Lasers and Laser Optics

**History**

Original Manuscript: July 26, 2013

Revised Manuscript: September 15, 2013

Manuscript Accepted: September 30, 2013

Published: October 7, 2013

**Citation**

Yong Zhang, Hongliang Yi, and Heping Tan, "One-dimensional transient radiative transfer by lattice Boltzmann method," Opt. Express **21**, 24532-24549 (2013)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-21-24532

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