Acta Photonica Sinica, Volume. 40, Issue 7, 1117(2011)

Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation

MA Wenjuan*, GAO Feng, ZHU Pingping, and YI Xi
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    The flux takes the form of an expansion in spherical harmonics, and the twodimensional spherical harmonics equations to threeorder for anisotropic scattering is drived. The equations is solved using finite element method and compared the solutions with the firstorder diffusion equation and Monte Carlo simulation. The resolut shows that the developed threeorder model with high absorb coefficient is able to significantly improve the diffusion solution in circle geometry, and the radiance distribution close to light source is more accurate.

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    MA Wenjuan, GAO Feng, ZHU Pingping, YI Xi. Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation[J]. Acta Photonica Sinica, 2011, 40(7): 1117

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    Paper Information

    Received: Sep. 26, 2010

    Accepted: --

    Published Online: Aug. 10, 2011

    The Author Email: Wenjuan MA (mawenjuan08@yahoo.com.cn)

    DOI:10.3788/gzxb20114007.1117

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