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%.
© 2011 Optical Society of America
Original Manuscript: July 29, 2011
Revised Manuscript: October 9, 2011
Manuscript Accepted: October 14, 2011
Published: December 9, 2011
José María Rico-García, José Manuel López-Alonso, and Ashod Aradian, "Toy model to describe the effect of positional blocklike disorder in metamaterials composites," J. Opt. Soc. Am. B 29, 53-67 (2012)