Negative refractive index induced by percolation in disordered metamaterials

Abstract

An effective medium model is developed for disordered metamaterials containing a spatially random distribution of dielectric spheres. Similar to effective medium models for ordered metamaterials, this model predicts resonances in the effective permeability and permittivity arising from electric- and magnetic-dipole Mie resonances in the spheres. In addition, the model predicts a redshift of the electric resonance with increasing particle loading. Interestingly, when the particle loading exceeds the percolation threshold of 33\%, the model predicts that the electric resonance overlaps with the magnetic resonance, resulting in a negative refractive index.

References in corpus (8)

• Coherent and incoherent metamaterials and the order-disorder transitions
• Effect of microscopic disorder on magnetic properties of metamaterials
• Generalized effective-medium theory for metamaterials
• Random terahertz metamaterials
• Effective electric and magnetic properties of metasurfaces in transition from crystalline to amorphous state
• Suppression of left-handed properties in disordered metamaterials
• Homogenization of metasurfaces formed by random resonant particles in periodical lattices
• Localization of Electromagnetic Fields in Disordered Fano Metamaterials

Cited by in corpus (3)

• The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media
• Giant enhancement and sign inversion of optical Kerr nonlinearity in random high index nanocomposites near Mie resonances
• Possibility of negative refraction for visible light in disordered all-dielectric resonant high index metasurfaces