Статьи / Efficiency of algorithm for solution of vector radiative transfer equation in turbid medium slab (Буренков) / EN

calculations of the angular distribution of polarization transmitted by slab, and figure 4 provides a comparison of the reflected radiation.

Figure 3. Polarization of the transmitted radiation. Figure 4. Polarization of the reflected radiation.

For the best fit, we used the parameters: N = 71, K = 171, M = 20 in the code MVDOM and 30 streams in the code Pstar. The comparison of results showed the perfect coincidence at the computer accuracy level, but the computation time was 11 seconds for MVDOM and for the program Pstar more than 180 seconds.

7. Conclusions

The discretized VRTE for a slab has a unique analytic solution in the matrix form. The high level of optimization of linear algebra packages permits a single algorithm implementation on a computer for this solution. Various implementations differ in the method of the solution anisotropic part elimination. Taking into account our algorithm analysis, the analytical anisotropy elimination on the basis of MSH is supposedly a more precise algorithm than TMS. At the algorithm implementation it is necessary to use the algorithm of sparse matrices, and when using the Intel processor the application of MKL library is very essential.

References

[1]Kokhanovsky AA, Budak VP, Cornet C, Duan M, Emde C, Katsev IL, Klyukov DA, Korkin SV, C-Labonnote L, Mayer B, Min Q, Nakajima T, Ota Y, Prikhach AS, Rozanov VV, Yokota T, Zege EP 2010 J. Quant. Spectrosc. Radiat. Transf. 111 1931.

[2]Doicu A and Trautmann T 2009 J. Quant. Spectrosc. Radiat. Transf. 110 159

[3]Budak VP, Klyuykov DA, and Korkin SV 2011 J. Quant. Spectrosc. Radiat. Transf. 112 1141.

[4]Karp AH, Greenstadt J, and Fillmore JA 1980 J. Quant. Spectrosc. Radiat. Transf. 24 391.

[5]Kuš čer I and Ribarič M 1959 Opt Acta 6 42.

[6]Budak VP and Korkin SV 2008 J. Quant. Spectrosc. Radiat. Transf. 109 220.

[7]Flatau PJ and Stephens GL 1988 J. Geophys. Res. 93 11037.

[8]Chandrasekhar S 1950 Radiative transfer (London: Oxford University Press)

[9]Wiscombe WJ 1977 J. Atmos. Sci. 34 1408.

[10]Nakajima T and Tanaka M 1988 J. Quant. Spectrosc. Radiat. Transf. 40 51.

[11]ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt

[12]http://www.ccsr.u-tokyo.ac.jp/~clastr/

[13]http://www.svet-mpei.org

10