Getting beneath the surface of opaque media: universal structure of transmission eigenchannels
arXiv:1502.03642
Abstract
Because the desire to explore opaque materials is ordinarily frustrated by multiple scattering of waves, attention has focused on the transmission matrix of the wave field. This matrix gives the fullest account of transmission and conductance and enables the control of the transmitted flux; however, it cannot address the fundamental issue of the spatial profile of eigenchannels of the transmission matrix inside the sample. Here we obtain a universal expression for the average disposition of energy of transmission eigenchannels for diffusive waves in terms of auxiliary localization lengths determined by the corresponding transmission eigenvalues. The spatial profile of each eigenchannel is shown to be a solution of a generalized diffusion equation. These results reveal the rich structure of transmission eigenchannels and enable the control of wave propagation and the energy distribution inside random media.
References in corpus (24)
- Random-Matrix Theory of Quantum Transport
- Measuring the Transmission Matrix in Optics : An Approach to the Study and Control of Light Propagation in Disordered Media
- Exploiting disorder for perfect focusing
- Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
- Universal optimal transmission of light through disordered materials
- Coherent control of total transmission of light through disordered media
- Full transmission and reflection of waves propagating through a maze of disorder
- Transmission eigenvalues and the bare conductance in the crossover to Anderson localization
- Hidden Black: Coherent Enhancement of Absorption in Strongly-scattering Media
- Green's function technique for studying electron flow in 2D mesoscopic samples
- Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport
- Position-dependent diffusion of light in disordered waveguides
- Transmission eigenchannels and the densities of states of random media
- The Single-Channel Regime of Transport through Random Media
- Generating particle-like scattering states in wave transport
- Equivalence of Fokker-Planck approach and non-linear -model for disordered wires in the unitary symmetry class
- Anderson localization as position-dependent diffusion in disordered waveguides
- Local diffusion theory of localized waves in open media
- Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size
- Supersymmetric field theory of local light diffusion in semi-infinite media
- Microwave conductance in random waveguides in the crossover to Anderson localization and single parameter scaling
- Localization from sigma-model geodesics
- Interplay between localization and absorption in disordered waveguides
- Unusual Brownian motion of photons in open absorbing media