文件名称:Improved-algorithm
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提出一种新的计算 MIE 散射系数的算法。该算法使用了改进的后向递推公式,可对 MIE
系数中的消光系数 Kext 和散射系数 K sca 进行精确计算。由于新算法能显著地减少计算循环次数,
因此明显缩短了计算时间。对广泛运用的递推法和连分式法进行了比较详细的讨论。并且把新算
法的计算结果和已有的成果进行了比较。结果表明:(1)计算的循环次数与粒子的复折射率基本没
有关系;(2)连分式得到的结果通常最准确;(3)新算法在尺度系数较大时(>1000),计算时间仅为
连分式算法的 10
-2
~10
-3
,计算的误差小于 10
-5
;(4)算法的适用范围广,对于尺度系数从 10
-6
到10
6
,
复折射率从从10
-6
到10
6
都能很好地进行计算。-Proposed a new computing MIE scattering coefficient algorithm. The algorithm uses the the improved backward recursive formula the Kext and scattering coefficients of the MIE coefficient of extinction coefficient K SCA accurate calculation. Since the new algorithm can significantly reduce the number of calculation cycle, thus significantly reducing the computation time. A more detailed discussion of the extensive use of the recursive method and continued fractions. And the calculation result of the new algorithm and the existing results were compared. The results indicate that: (1) calculation of the number of cycles and the complex refractive index of the particles is basically no relationship (2) Continued Fractions are usually the most accurate results (3) a new algorithm in the scaling coefficient is large (> 1000), calculated Time is only the Continued Fractions algorithm 10-2 to 10-3, the calculated error is less than 10-5 (4) algorithm is applicable to a wide range of the s
系数中的消光系数 Kext 和散射系数 K sca 进行精确计算。由于新算法能显著地减少计算循环次数,
因此明显缩短了计算时间。对广泛运用的递推法和连分式法进行了比较详细的讨论。并且把新算
法的计算结果和已有的成果进行了比较。结果表明:(1)计算的循环次数与粒子的复折射率基本没
有关系;(2)连分式得到的结果通常最准确;(3)新算法在尺度系数较大时(>1000),计算时间仅为
连分式算法的 10
-2
~10
-3
,计算的误差小于 10
-5
;(4)算法的适用范围广,对于尺度系数从 10
-6
到10
6
,
复折射率从从10
-6
到10
6
都能很好地进行计算。-Proposed a new computing MIE scattering coefficient algorithm. The algorithm uses the the improved backward recursive formula the Kext and scattering coefficients of the MIE coefficient of extinction coefficient K SCA accurate calculation. Since the new algorithm can significantly reduce the number of calculation cycle, thus significantly reducing the computation time. A more detailed discussion of the extensive use of the recursive method and continued fractions. And the calculation result of the new algorithm and the existing results were compared. The results indicate that: (1) calculation of the number of cycles and the complex refractive index of the particles is basically no relationship (2) Continued Fractions are usually the most accurate results (3) a new algorithm in the scaling coefficient is large (> 1000), calculated Time is only the Continued Fractions algorithm 10-2 to 10-3, the calculated error is less than 10-5 (4) algorithm is applicable to a wide range of the s
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Improved algorithm for MIE scattering coefficient.pdf