Electromagnetic Information Theory in Phase-Space: A Quantum Tunnelling Approach

We describe a mathematical physics approach to electromagnetic information theory. The approach is based on quantum tunnelling theories that are formulated in a ray dynamical phase-space. Starting from a scattering model of waves transmitted across two holographic surfaces, we show that the eigenvalues corresponding to communication modes supported by the surfaces can be approximated as tunnelling rates. The related phase-space calculations provide simplified formulas of degrees of freedom for diversity in the near-field. The approach results in rigorous, physics-based framework for general characterisation of surface communications in free-space and confined environments.