Julia implementation of Mie theory for nanophotonics.[1]
Author is checking the validity of the implementation as much as possible, but any warranty is not provided.
This project is under development. Because jlmie is just a transported program from author’s homebuilt package written in different language, its implementation might not be optimized for Julia language…

Installation

Use Julia Package Manager (]) and run

(@v1.5) pkg> add https://github.com/Hinamoooon/jlmie.git

Dependency

jlmie depends on a following package.

• SpecialFunctions for computation of Bessel functions

Recommendation

Installation of following packages are recommended to visualize calculated results. Example codes in ./example require prior installation of them.

• Plots for visualization
• PyPlot for visulization of 3D graphs

Use Julia Package Manager (]) and run

(@v1.5) pkg> add Plots PyPlot

How to use

[To be updated once it is published in the Julia’s public repositry]
Install jlmie following the Installation section.

1. import packages

   using jlmie
   using Plots

2. define problem
   ```

   structure

   nmat = 4 # refractive index of the material constituting a sphere
   radius = 75*1e-9

vacuum wavelenth range to be calculated

lbd0 = (400:800)1e-9;
lbdp = lbd01e9; # used for plot

3. calculation

Conversion of parameters into relative refractive index (m) and size parameter (x)

m,x = jlmie_mx(nmat,radius,lbd0) # Environment is vacuum (nenv = 1) by default

Scattering efficiency

Qsca = jlmie_Qsca(m,x)

4. plot the calculated spectrum

plot(lbdp,Qsca,
xlabel = “Wavelength (nm)”,
ylabel = “Scattering efficiency”,
legend = false,
)
```

Examples

Some example codes are included in ./example.

• ex01_Qsca_n4r100.jl calculates total scattering efficiency spectrum of a high-refractive-index nanosphere (n = 4) of 100 nm in radius.
  
• ex02_QscaMultipoles_n4r100.jl calculates total scattering efficiency of a sphere with n = 4 and r = 100 nm and each contribution from n-th order electric and magnetic Mie resonance.
  
• ex03_ForwardBackward_n4r100.jl calculates forward (θ = 0°) and backward (θ = 180°) scattering intensities.
  
• ex04_2DRadiationPattern_n4r100.jl calculates far-field radiation patterns at a fixed wavelength.
  
• ex05_3DRadiationPattern_n4r100.jl is a 3D version of ex04 which calculates radiation pattern.
  

Directory structure [To be updated]

Important functions are included in ./src. If you want to see source codes of any functions, see ./src/jlmie.jl.

Author

Tatsuki Hinamoto@Kobe University, Japan

License

jlmie is distributed under MIT license.

Reference

1. Absorption and Scattering of Light by Small Particles; Bohren, C. F., Huffman, D. R., Eds.; Wiley-VCH Verlag GmbH: Weinheim, Germany, 1998.

To do list

• read wavelength dependent refractive indices
• Computation of near-field profiles
• Detailed documents describing theoretical backgrounds