Light Localization induced by Random Imaginary Permittivities

Abstract

We show the emergence of light localization in arrays of coupled optical waveguides with randomness only in the imaginary part of their permittivity and develop a one-parameter scaling theory for the normalized participation number of the Floquet-Bloch modes. This localization introduces a new length scale in the decay of the autocorrelation function of a paraxial beam propagation. Our results are relevant to a vast family of systems with randomness in the dissipative part of their impedance spatial profile.

five pages plus two pages of supplementary material

References in corpus (15)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Anderson localization and nonlinearity in one dimensional disordered photonic lattices
• Statistical Signatures of Photon Localization
• Observation of the critical regime near Anderson localization of light
• Probability of Reflection by a Random Laser
• Localization of Light: Dual Symmetry between Absorption and Amplification
• Symmetry between absorption and amplification in disordered media
• Localization Transition in Incommensurate non-Hermitian Systems
• Probing Localization in Absorbing Systems via Loschmidt Echos
• Super-reflection of light from a random amplifying medium with disorder in the complex refractive index : Statistics of fluctuations
• Scaling Properties of Localization Length in 1D Paired Correlated Binary Alloys of Finite Size
• Quantum Mechanics with Random Imaginary Scalar Potential
• Optimal Fluctuations and Tail States of non-Hermitian Operators
• "Lifshitz tails" and extended states in an Imaginary random potential

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