Acta Photonica Sinica, Volume. 40, Issue 7, 1117(2011)
Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation
The flux takes the form of an expansion in spherical harmonics, and the twodimensional spherical harmonics equations to threeorder for anisotropic scattering is drived. The equations is solved using finite element method and compared the solutions with the firstorder diffusion equation and Monte Carlo simulation. The resolut shows that the developed threeorder 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.
Get Citation
Copy Citation Text
MA Wenjuan, GAO Feng, ZHU Pingping, YI Xi. Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation[J]. Acta Photonica Sinica, 2011, 40(7): 1117
Received: Sep. 26, 2010
Accepted: --
Published Online: Aug. 10, 2011
The Author Email: Wenjuan MA (mawenjuan08@yahoo.com.cn)