Perfect Transmission through Disordered Media

Abstract

The transmission of a wave through a randomly chosen `pile of plates' typically decreases exponentially with the number of plates, a phenomenon closely related to Anderson localisation. In apparent contradiction we construct disordered planar permittivity profiles which are complex-valued (i.e. have reactive and dissipative properties) that appear to vary randomly with position, yet are one-way reflectionless for all angles of incidence and exhibit a transmission coefficient of unity. We contrast these complex-valued 'random' planar permittivity profiles with a family of real-valued, two-way reflectionless and perfectly transmitting disordered permittivity profiles that function only for a single angle of incidence and frequency.

10 pages, 9 figures

References in corpus (5)

• Bloch-like waves in random-walk potentials based on supersymmetry
• Wave reflection in dielectric media obeying spatial Kramers-Kronig relations
• Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures
• Wave propagation in complex coordinates
• All-frequency reflectionlessness

Cited by in corpus (10)

• Spatial Kramers-Kronig relation and controlled unidirectional reflection in cold atoms
• Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional scalar potential
• Reflectionless and invisible potentials in photonic lattices
• Zero reflection and transmission in graded index media
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• Non-Hermitian invisibility in tight-binding lattices
• Scattering of accelerated wave packets
• Graph theory approach to exceptional points in wave scattering
• Designing scattering-free isotropic index profiles using phase-amplitude equations
• Scaling behavior of the localization length for TE waves at critical incidence on short-range correlated stratified random media