Unusual Brownian motion of photons in open absorbing media

Abstract

Very recent experiments have discovered that localized light in strongly absorbing media displays intriguing diffusive phenomena. Here we develop a first-principles theory of light propagation in open media with arbitrary absorption strength and sample length. We show analytically that photons in localized open absorbing media exhibit unusual Brownian motion. Specifically, wave transport follows the diffusion equation with the diffusion coefficient exhibiting spatial resolution. Most strikingly, despite that the system is controlled by two parameters -- the ratio of the localization (absorption) length to the sample length -- the spatially resolved diffusion coefficient displays novel single parameter scaling: it depends on the space via the returning probability. Our analytic predictions for this diffusion coefficient are confirmed by numerical simulations. In the strong absorption limit they agree well with the experimental results.

5 pages, 2 firgures

References in corpus (5)

• Unusual Resonators: Plasmonics, Metamaterials, and Random Media
• Transport through modes in random media
• Anderson localization as position-dependent diffusion in disordered waveguides
• Supersymmetric field theory of local light diffusion in semi-infinite media
• Interplay between localization and absorption in disordered waveguides

Cited by in corpus (7)

• Position-dependent diffusion of light in disordered waveguides
• Control of mesoscopic transport by modifying transmission channels in opaque media
• On applicability of inhomogeneous diffusion approach to localized transport through disordered waveguides
• Intensity of waves inside a strongly disordered medium
• Minimum reflection channel in amplifying random media
• Impact of surface reflection on transmission eigenvalue statistics and energy distributions inside random media
• Getting beneath the surface of opaque media: universal structure of transmission eigenchannels