On 3-dimensional Berry’s model

This work aims to study the dislocation or nodal lines of 3D Berry's random wave model. Their expected length is computed both in isotropic and anisotropic cases, being them compared. Afterwards, case asymptotic variance distribution are obtained as domain grows whole space. Under some integrability condition on covariance function, a central limit theorem established. The includes monochromatic waves, Bargmann-Fock model Black-Body radiation well power law that exhibits an unusual behaviour yields non-central theorem.