Abstract
AbstractRandom jammed dipole scatterers are natural composite and common byproducts of various chemical synthesis techniques. They often form complex aggregates with nontrivial correlations that influence the effective dielectric description of the medium. In this work, we investigate the packing dynamic of rectangular nanostructure under a close packing protocol and study its influence on the optical response of the medium. We show that the maximum packing densities, maximum scattering densities, and percolation threshold densities are all interconnected concepts that can be understood through the lens of Onsager’s exclusion area principle. The emerging positional and orientational correlations between the rectangular dipoles are studied, and various geometrical connections are drawn. The effective dielectric constants of the generated ensembles are then computed through the strong contrast expansion method, leading to several unintuitive results such as scattering suppression at maximum packing densities, as well as densities below the percolation threshold, and maximum scattering in between.
Highlights
Random packing persists to be an alluring topic, pertinent to fundamental questions in physics, chemistry, and biology [1,2,3]
We investigate the packing dynamic of rectangular nanostructure under a close packing protocol and study its influence on the optical response of the medium
The effective dielectric constants of the generated ensembles are computed through the strong contrast expansion method, leading to several unintuitive results such as scattering suppression at maximum packing densities, as well as densities below the percolation threshold, and maximum scattering in between
Summary
Random packing persists to be an alluring topic, pertinent to fundamental questions in physics, chemistry, and biology [1,2,3]. We investigate the optical response of packed rectangular nanostructures on a surface, as they are commonly employed as dipole scatterers in optical devices [7,8,9] for various applications including light harvesting [10] and biosensing [11]. At large packing density, the positional and orientational correlations between the dipoles are not negligible anymore and can drastically alter the effective dielectric constant of the ensemble. The strong contrast expansion method presented in the study by Rechtsmanand and Torquato [13] is rather a generic and exact approach that includes the contribution of highorder point probability functions and captures the correction due to the emerged correlations.
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