A Python library for computing light scatteringby multilayered non-spherical particles

A. A. Vinokurov1,2 V. B. Il’in1,2,3 V. G. Farafonov1

1Saint-Petersburg State University of Aerospace Instrumentation, Russia2Pulkovo Observatory, Saint-Petersburg, Russia

3Saint-Petersburg State University, Russia

12th Electromagnetic & Light Scattering Conference

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 1 / 7

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 2 / 7

gSVM for multilayered particles

A particle with L layers.The electromagnetic fields in each of the domains Γ(i) satisfy theboundary 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

P(i)i x(i) = P(i)

i+1x(i+1), i = 1, . . . , L,

Iterative scheme

P(1)1

(xsca

xinc

)= P(1)

2

L∏i=2

[(P(i)

i )−1P(i)i+1

]x(L+1).

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 3 / 7

Accuracy of gSVM for multilayered particles

100 101 102 103

Number of layers

10-16

10-14

10-12

10-10

10-8

10-6

10-4

10-2

Rela

tive

erro

r

xv = 0.1xv = 0.5xv = 1.0xv = 5.0

xv = 10.0xv = 15.0xv = 30.0

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 4 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Python/SciPy

Python is a very convinient object oriented scripting language.It is good for large projectsIt is good for quick implementationsA lot of things included:

I libraries for numerical computations,I access to libraries for other sciences,I data visualization,I data storage,I etc.

Speed can be comparable with the speed of low level languagesIntegration with Fortran and C++.There’s a scientific community with annual conferences.

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 5 / 7

Usage example

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 6 / 7

Some computational results

Homogeneous 2 layers 4 layers

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 7 / 7

Some computational results

Homogeneous 8 layers 16 layers

Vinokurov, Il’in, Farafonov (Russia) ELS-XII 8 / 7