Related Experiment Video
Updated: Jul 11, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
Periodic oscillations in transmission decay of anderson localized one-dimensional dielectric systems
1Micro-Technology Laboratory, Fondazione Bruno Kessler - irst, via Sommarive 18, I-38050 Povo (Trento), Italy. ghulinyan@itc.it
Abstract:
It is well recognized that the transmittance of Anderson localized systems decays exponentially on average with sample size, showing large fluctuations brought up by extremely rare occurrences of necklaces of resonantly coupled states, possessing almost unity transmission. We show here that in a one-dimensional (1D) random photonic system with resonant layers these fluctuations appear to be very regular and have a period defined by the localization length xi of the system. We stress that necklace states are the origin of these well-defined oscillations. We predict that in such a random system efficient transmission channels form regularly each time the increasing sample length fits so-called optimal-order necklaces and demonstrate the phenomenon through numerical experiments. Our results provide new insight into the physics of Anderson localization in random systems with resonant units.
Related Concept Videos
Types of Damping
The de Broglie Wavelength
Oscillations In An LC Circuit
Damped Oscillations
Although friction and other non-conservative...
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Standing Waves in a Cavity

