4.6 Article

Anderson localization of electromagnetic waves in randomly-stratified magnetodielectric media with uniform impedance

Journal

OPTICS EXPRESS
Volume 23, Issue 11, Pages 14520-14531

Publisher

OPTICAL SOC AMER
DOI: 10.1364/OE.23.014520

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Funding

  1. National Research Foundation of Korea - Korean Government [NRF-2012R1A1A2044201]

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The propagation and the Anderson localization of electromagnetic waves in a randomly-stratified slab, where both the dielectric permittivity and the magnetic permeability depend on one spatial coordinate in a random manner, is theoretically studied. The case where the wave impedance is uniform, while the refractive index is random, is considered in detail. The localization length and the disorder-averaged transmittance of s and p waves incident obliquely on the slab are calculated as a function of the incident angle. and the strength of randomness in a numerically precise manner, using the invariant imbedding method. It is found that the waves incident perpendicularly on the slab are delocalized, while those incident obliquely are localized. As the incident angle increases from zero, the localization length decreases from infinity monotonically to some finite value. The localization length is found to depend on the incident angle as theta(-4) and a simple analytical formula, which works quite well for weak disorder and small incident angles, is derived. The localization length does not depend on the wave polarization, but the disorder-averaged transmittance generally does. (C) 2015 Optical Society of America

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