Novel color filters for the correction of red-green color vision deficiency based on the localized surface plasmon resonance effect of Au nanoparticles.

Color filters are promising tools for the correction of color vision deficiency because a medical cure of this physiological deficiency is unattainable. After the introduction of organic-dye based color filters, however, no appreciable progress has been made. In this study, gold nanoparticle-based plasmonic color filter devices, that is, EyEye-lens and EyEye-film, were developed for the correction of color vision deficiency. The EyEye-lens was prepared by a simple immobilizing technique, and the EyEye-film was readily synthesized through a one-pot method. These color filter devices are based on tunable localized surface plasmon resonance in the visible and near-infrared spectral range. Plasmonic nanoparticles embedded in the color filter provide a specific spectral color range for the correction of color vision deficiency. Careful color vision tests using an Ishihara plate were performed on subjects with red-green color deficiency. Statistical analysis of the color vision tests revealed that the EyEye-lens and EyEye-film have similar or better performance in the correction of red-green color deficiency than a commercial ChromaGen lens. The newly developed color filter devices should be considered as alternative personalized color filter devices for practical applications.

Emergent dynamics of various Cucker-Smale type models with a fractional derivative.

In this paper, we demonstrate emergent dynamics of various Cucker-Smale type models, especially standard Cucker-Smale (CS), thermodynamic Cucker-Smale (TCS), and relativistic Cucker-Smale (RCS) with a fractional derivative in time variable. For this, we adopt the Caputo fractional derivative as a widely used standard fractional derivative. We first introduce basic concepts and previous properties based on fractional calculus to explain its unusual aspects compared to standard calculus. Thereafter, for each proposed fractional model, we provide several sufficient frameworks for the asymptotic flocking of the proposed systems. Unlike the flocking dynamics which occurs exponentially fast in the original models, we focus on the flocking dynamics that occur slowly at an algebraic rate in the fractional systems.