On 3-dimensional Berry’s model.

This work aims to study the dislocation or nodal lines of 3D Berry’s random waves model. Their expected length is computed both in the isotropic and anisotropic cases, being them compared. Afterwards, in the isotropic case the asymptotic variance and distribution of the length are studied as the domain grows to the whole space. We find different orders of magnitude for the variance and different limit distributions for different submodels. The study includes the Berry’s monochromatic random waves, the Bargmann-Fock model and the Black-Body radiation.