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.