PyMieScatt > LowFrequencyMieQ() > Equation of Qb

動作環境

GeForce GTX 1070 (8GB)
ASRock Z170M Pro4S [Intel Z170chipset]
Ubuntu 16.04 LTS desktop amd64
TensorFlow v1.2.1
cuDNN v5.1 for Linux
CUDA v8.0
Python 3.5.2
IPython 6.0.0 -- An enhanced Interactive Python.
gcc (Ubuntu 5.4.0-6ubuntu1~16.04.4) 5.4.0 20160609
GNU bash, version 4.3.48(1)-release (x86_64-pc-linux-gnu)
scipy v0.19.1
geopandas v0.3.0
MATLAB R2017b (Home Edition)
ADDA v.1.3b6
gnustep-gui-runtime v0.24.0-3.1

関連

• PyMieScatt > LowFrequencyMieQ() > for small size parameter
• PyMieScatt > LowFrequencyMieQ() > Equation of Qext | 新人応援 > １次情報と実装の乖離
• PyMieScatt > LowFrequencyMieQ() > Equation of Qsca
• PyMieScatt > LowFrequencyMieQ() > Equation of g

Reference

• Bohren C.F. and D. R. Huffman, "Absorption and Scattering of Light by Small Particles", John Wiley, New York, NY (1983)
• PDF: MATLAB Functions for Mie Scattering and Absorption, Research Report No. 2002-08, June 2002 by Christian Mätzler

Equation of Qb

http://pymiescatt.readthedocs.io/en/latest/forward.html#LowFrequencyMieQ
https://github.com/bsumlin/PyMieScatt/blob/master/PyMieScatt/Mie.py#L175

Qb(or Qback}は以下のように実装されている。

Q_{back} = \frac{1}{x^2}|\sum((2n+1)(-1)^n(a_n - b_n)|^2.

この式はBohren and Huffman (1983) p122にて定義されている。

式変形はなく１次情報そのままである。