Extension of the matrix transport equation to the Anderson localized regime

Establish whether the matrix transport equation can be extended to the Anderson localized regime using a self-consistent renormalization approach.

Background

The paper develops a nonlinear matrix transport equation for coherent, wavefront-controlled propagation through disordered media and demonstrates its predictions in the diffusive regime. The authors explicitly identify the Anderson localized regime as an important domain beyond the scope of the presented theory.

A proposed direction is to determine whether a self-consistent renormalization procedure can extend the matrix transport equation to describe localization, where diffusive transport theory no longer applies.