Full transmission of vectorial waves through 3D multiple-scattering media

Abstract

A striking prediction from the random matrix theory (RMT) in mesoscopic physics is the existence of “open channels”: waves that use multipath interference to achieve perfect transmission across an opaque disordered medium even in the multiple-scattering regime. Realization of such open channels requires a coherent control of the complete incident wavefront and has only been achieved for scalar waves in two dimensions (2D) so far. Here, we utilize a recently proposed “augmented partial factorization” full-wave simulation method to compute the polarization-resolved scattering matrix from 3D vectorial Maxwell’s equations and demonstrate the existence of open channels in 3D disordered media. We examine the spatial profile of such open channels, demonstrate the existence of a bimodal transmission eigenvalue distribution, and study the effects of incomplete polarization control and finite-area illumination. The simulations provide full access to all spatiotemporal properties of the complex wave transport in 3D disordered systems, filling the gap left by experimental capabilities.