Observation of Photonic Magnetoresistance

Transport mean free path for magneto-transverse light diffusion

“…In a homogeneous medium the Faraday effect implies a rotation V B per unit length of the polarization vector of linearly polarized light. Two other magneto-optical effects in multiple scattering, such as the suppression of coherent backscattering in a magnetic field [4,5], and "Photonic MagnetoResistance" [6] are known to exist, and basically originate from the same Faraday effect.In an isotropic medium, Fick's phenomenological law relates the diffusion current to the energy-density gradient ∇ρ according to J = −D 0 ∇ρ [7]. D 0 is the conventional diffusion constant for radiative transfer and is usually related to the transport mean free path ℓ * and the transport velocity v E according to D = 1 3 v E ℓ * .…”

“…In a homogeneous medium the Faraday effect implies a rotation V B per unit length of the polarization vector of linearly polarized light. Two other magneto-optical effects in multiple scattering, such as the suppression of coherent backscattering in a magnetic field [4,5], and "Photonic MagnetoResistance" [6] are known to exist, and basically originate from the same Faraday effect.…”

“…Eq. (6) shows that Γ is a hermitean tensor, linear in q. We will ignore the longitudinal field in Eq.…”

Recent Trends in the Theory of Magneto-Scattering of Light

“…The absence of "photon charge" however, seems to rule out a class of magnetical phenomena such as Hall effect and magneto-resistance, well-established for electrons in an ohmic conductor. Nevertheless, the "Photon-Hall effect" (PHE) [4,5] and "Photon Magneto-resistance" (PMR) [6] have been predicted and observed by us for diffuse waves, in a way surprisingly "analogous" to electrons. The photon Hall effect is similar to what is called the "anomalous" Hall effect [7], or spin Hall effect [8] in the electronic literature and which is not directly caused the Lorentz force, but rather by magnetic interactions.…”

Complex photonic structures for energy efficiency

“…Various phenomena that are common for electron transport have now also been found to exist for light waves [28]. Important examples are weak localization [29], the photonic Hall effect [30], optical magneto resistance [31], Anderson localization [32], Bloch oscillations and Zener tunneling [33,34], and universal conductance fluctuations [35]. In the case of Anderson localization the interference effects are so strong that the transport comes to a halt and the light becomes localized in randomly distributed modes inside the system.…”