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A Python library for computing light scattering by multilayered non-spherical particles
- 1. A Python libraryfor computing light scattering by multilayered non-spherical particles A. A. Vinokurov1,2 V. B. Il’in1,2,3 V. G. Farafonov1 1 Saint-Petersburg State University of Aerospace Instrumentation, Russia 2 Pulkovo Observatory, Saint-Petersburg, Russia 3 Saint-Petersburg State University, Russia 12th Electromagnetic & Light Scattering Conference Vinokurov, Il’in, Farafonov (Russia) ELS-XII 1/7
- 2. Vinokurov, Il’in, Farafonov(Russia) ELS-XII 2/7
- 3. gSVM for multilayeredparticles A particle with L layers. The electromagnetic fields in each of the domains Γ(i) satisfy the boundary conditions E(i) (r) × n(i) (r) = E(i+1) (r) × n(i) (r), r ∈ ∂Γ(i) , i = 1, . . . , L, Systems for each of the layer boundaries (i) (i) Pi x(i) = Pi+1 x(i+1) , i = 1, . . . , L, Iterative scheme L (1) xsca (1) (i) (i) P1 = P2 (Pi )−1 Pi+1 x(L+1) . xinc i=2 Vinokurov, Il’in, Farafonov (Russia) ELS-XII 3/7
- 4. Accuracy of gSVMfor multilayered particles 10-2 10-4 10-6 Relative error 10-8 10-10 10-12 10-14 10-16 0 10 101 102 103 Number of layers xv = 0.1 xv = 10.0 xv = 0.5 xv = 15.0 xv = 1.0 xv = 30.0 xv = 5.0 Vinokurov, Il’in, Farafonov (Russia) ELS-XII 4/7
- 5. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 6. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 7. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 8. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 9. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 10. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 11. Python/SciPy Python is a very convinient object oriented scripting language. It is good for large projects It is good for quick implementations A lot of things included: libraries for numerical computations, access to libraries for other sciences, data visualization, data storage, etc. Speed can be comparable with the speed of low level languages Integration with Fortran and C++. There’s a scientific community with annual conferences. Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5/7
- 12. Usage example Vinokurov, Il’in,Farafonov (Russia) ELS-XII 6/7
- 13. Some computational results Homogeneous 2 layers 4 layers Vinokurov, Il’in, Farafonov (Russia) ELS-XII 7/7
- 14. Some computational results Homogeneous 8 layers 16 layers Vinokurov, Il’in, Farafonov (Russia) ELS-XII 8/7