Mie scattering of a plane wave by a sphere
by Scott Prahl
miepython is a pure Python module to calculate light scattering for non-absorbing, partially-absorbing, or perfectly-conducting spheres. Mie theory is used, following the procedure described by Wiscombe. This code has been validated against his results.
This code provides functions for calculating the extinction efficiency, scattering efficiency, backscattering, and scattering asymmetry. Moreover, a set of angles can be given to calculate the scattering for a sphere at each of those angles.
Full documentation at <https://miepython.readthedocs.io>
When comparing different Mie scattering codes, make sure that you’re aware of the conventions used by each code. miepython makes the following assumptions
the imaginary part of the complex index of refraction for absorbing spheres is negative.
the scattering phase function is normalized so it equals the single scattering albedo when integrated over 4π steradians. As of version 2.3, this can be changed.
You can install locally using pip:
pip install miepython
or run this code in the cloud using Google Collaboratory by selecting the Jupyter notebook that interests you.
The following code:
import miepython m = 1.5-1j x = 1 qext, qsca, qback, g = miepython.mie(m,x) print("The extinction efficiency is %.3f" % qext) print("The scattering efficiency is %.3f" % qsca) print("The backscatter efficiency is %.3f" % qback) print("The scattering anisotropy is %.3f" % g)
The extinction efficiency is 2.336 The scattering efficiency is 0.663 The backscatter efficiency is 0.573 The scattering anisotropy is 0.192
Here are a few short scripts in the github repository.
Detailed documentation is available at <https://miepython.readthedocs.io>
miepython is licensed under the terms of the MIT license.
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