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Toy model to describe the effect of positional blocklike disorder in metamaterials composites

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Rico-García, José María and López Alonso, José Manuel and Aradian, Ashod (2012) Toy model to describe the effect of positional blocklike disorder in metamaterials composites. Journal of the Optical Society of America B, 29 (1). pp. 53-67. ISSN 0740-3224

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Official URL: http://dx.doi.org/10.1364/JOSAB.29.000053




Abstract

We study theoretically the effect of a new type of blocklike positional disorder on the effective electromagnetic properties of one-dimensional chains of resonant, high-permittivity dielectric particles, where particles are arranged into perfectly well-ordered blocks whose relative position is a random variable. This creates a finite order correlation length that mimics the situation encountered in metamaterials fabricated through self-assembled techniques, whose structures often display short-range order between near neighbors but long-range disorder, due to stacking defects. Using a spectral theory approach combined with a principal component statistical analysis, we study, in the long-wavelength regime, the evolution of the electromagnetic response when the composite filling fraction and the block size are changed. Modifications in key features of the resonant response (amplitude, width, etc.) are investigated, showing a regime transition for a filling fraction around 50%.


Item Type:Article
Additional Information:

Received July 29, 2011; revised October 9, 2011; accepted October 14, 2011; posted October 17, 2011 (Doc. ID 151904); published December 9, 2011

Uncontrolled Keywords:Metamaterials ; Diffraction and gratings ; Effective medium theory ; Artificially engineered materials ; Refractive index ; Particles
Subjects:Sciences > Physics > Electromagnetism
Sciences > Physics > Materials
Sciences > Physics > Optics
ID Code:38638
Deposited On:08 Sep 2016 10:56
Last Modified:08 Sep 2016 10:56

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