Greens in linear algebra
GilaElectromagnetics.jl is a Julia package that provides a very efficient implementation of the discrete three-dimensional electromagnetic Green function. Documentation for the package can be found here.
Installation can be done with Julia's package manager:
julia> using Pkg
julia> Pkg.add("GilaElectromagnetics")Alternatively, in Julia's REPL, a typing ] puts you in "Pkg
mode". In this command line
package manager, installing GilaElectromagnetics can be done as follows:
(@v1.10) pkg> add GilaElectromagnetics
The following figures demonstrate the capabilities of GilaElectromagnetics to solve the scattering problem very efficiently. The first one shows the resulting total electric field in a plane of a 3D system. An electric dipole is located in a wave guide measuring 256x34x34 cells, each with a size of 1/32 of a wavelength. It is itself embedded in a vacuum of 256x256x128, making the total simulated domain 8x8x4 wavelengths:
The next one represents the total electric field in a vacuum of the same size, but where a plane wave hits a thin film of dielectric (thickness of 24 cells, or 3/4 of a wavelength) at a steep 80.5° from the normal of the film :
Further details and more examples are provided in the documentation.