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@7of9

# PyMieScatt > ScatteringFunction() > measureの式 | scattereing wave vector | phase difference

GeForce GTX 1070 (8GB)
ASRock Z170M Pro4S [Intel Z170chipset]
Ubuntu 16.04.4 LTS desktop amd64
TensorFlow v1.7.0
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)
gnustep-gui-runtime v0.24.0-3.1


### ScatteringFunction() > measure

  if _q:
measure = (4*np.pi/wavelength)*np.sin(measure/2)*(diameter/2)
return measure,SL,SR,SU


measureというのは
を見ると下記のthetaに対応するようだ。

Returns
theta :numpy.ndarray
An array of the angles used in calculations. Values will be spaced according to angularResolution, and the size of the array will be (maxAngle-minAngle)/angularResolution.

measure = \frac{4\pi}{\lambda}sin(\frac{measure}{2})\frac{diameter}{2}


This analysis involves plotting the scattered intensity versus the scattering wave vector q=(4π/λ)sin(θ/2) on a double log plot.

measureというのはscattering wave vectorというもののようだ。

measure = scattering vector * (diameter / 2)

### phase difference

\Delta \phi = \frac{2 \pi}{\lambda}2a(N1 - N) = 2x(m-1)


diameter/2=aなので、係数$4\pi a/\lambda$は同じではあるが、scattering wave vectorと関係があるのかは不明。

Bohren and Huffman (1983)
p106

For if we adopt the viewpoint of elementary optics, the phase difference $\Delta \phi$ between a ray that traverses a large transparent sphere wihout deviation (i.e., the forward-scattered or centray ray) and a ray that traverses the same physical path outside the sphere is ...

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Help us understand the problem. What are the problem?