Mie and Rayleigh scattering approximations for spherical particles.
Project description
mnpbem-mie
mnpbem-mie provides Rayleigh-limit scattering formulas for small spherical particles.
Implemented Formulations
Polarizability:
\alpha = 4\pi a^3\frac{\varepsilon_p-\varepsilon_m}{\varepsilon_p+2\varepsilon_m}
Wave number in medium:
k = \frac{2\pi}{\lambda}\sqrt{\varepsilon_m}
Cross sections:
C_{\mathrm{ext}} = k\,\mathrm{Im}(\alpha),\quad
C_{\mathrm{sca}} = \frac{|k|^4}{6\pi}|\alpha|^2,\quad
C_{\mathrm{abs}} = C_{\mathrm{ext}}-C_{\mathrm{sca}}
Implementation
- Rayleigh model:
src/mnpbem_mie/rayleigh.py
Dependencies
numpy>=1.24
Installation
pip install mnpbem-mie
Example
Runnable example:
examples/basic_usage.py
Run:
python examples/basic_usage.py
Author
- GALIH RIDHO UTOMO
- g4lihru@students.unnes.ac.id
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