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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
  1. 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 = lbd0*1e9;  # used for plot
  1. 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)
  1. 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.
    Output example in jlmie
  • 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.
    Output example in jlmie
  • ex03_ForwardBackward_n4r100.jl calculates forward (θ = 0°) and backward (θ = 180°) scattering intensities.
    Output example in jlmie
  • ex04_2DRadiationPattern_n4r100.jl calculates far-field radiation patterns at a fixed wavelength.
    Output example in jlmie
  • ex05_3DRadiationPattern_n4r100.jl is a 3D version of ex04 which calculates radiation pattern.
    Output example in jlmie

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