Theory and simulation, multiple scattering methods for photons, phonons, electrons
Layer multiple scattering method
We use multiple scattering to solve wave propagation. We are developing multiple scattering methods in collaboration with colleagues from the University of Athens to study light, sound, and electron propagation in complex periodic structures. Have a look at our interactive tool.

For photons and phonons a layer multiple scattering method is used so that the structure is divided in periodic layers and the scattering properties within each layer is described through the corresponding scattering matrix. The layers consist of arrays of individual scatterers and spherical expansions are used to describe the scattering in each layer.
Short description of the method can be found in: Panagiotidis E, Almpanis E, Stefanou N, Papanikolaou N. Multipolar interactions in Si sphere metagratings. Journal of Applied Physics. 2020;128(9):093103
The same method can be used for electrons. Read more here.