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Published on: January 15, 2016
Persistent random walk on a one-dimensional lattice with random asymmetric transmittances
1Institute for Advanced Studies in Basic Sciences (IASBS), P. O. Box 45195-1159, Zanjan 45195, Iran.
Photons exhibit normal diffusion on a 1D lattice with random asymmetric transmittances. Specific probability distributions of transmittance enable this diffusion, confirmed by simulations.
Area of Science:
- Condensed matter physics
- Photonics
- Statistical mechanics
Background:
- Understanding photon transport in disordered systems is crucial for optical devices.
- Random asymmetric transmittances introduce complex behavior in photon propagation.
Purpose of the Study:
- To investigate the conditions for normal diffusion of photons in a 1D lattice with random asymmetric transmittances.
- To identify the probability distributions of transmittance that lead to normal diffusion.
Main Methods:
- Analytical approach using the effective medium approximation.
- Numerical verification through Monte Carlo simulations.
Main Results:
- Identified two classes of transmittance probability distributions that result in normal photon diffusion.
- Confirmed analytical predictions with simulation results.
Conclusions:
- Normal photon diffusion is achievable in disordered 1D lattices under specific transmittance conditions.
- The findings can be experimentally realized using metamaterials.
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