Influence of the size-dependent permittivity of metal inclusions on the optical characteristics of a one-dimensional photonic crystal with a nanocomposite defect

Abstract

The spectral characteristics of a one-dimensional photonic crystal structure with a defect nanocomposite layer that consists of metallic nanoparticles distributed in a transparent matrix are theoretically studied. The defect mode shape inside the photonic band gap is found to depend substantially on the nanoparticle size and concentration in the defect layer.

Transmittance properties of one-dimensional metamaterial nanocomposite photonic crystal in GHz range

“…The effective permittivity ( ) of silver nanoparticles embedded in is calculated using the Maxwell–Garnett model and is provided by the equation below: where , and are representing the filling fraction (percent) of NPs, Ag–NPs permittivity, and host material permittivity, respectively. The permittivity of Ag–NPs is then calculated using the Drude model 47 as where , and denote the high frequency limit of permittivity, Plasmon frequency, and damping frequency, respectively. At the same time, the radius of NPs(r) and the electron velocity at Fermi energy (v f ) have a crucial role in the nanoparticles damping frequency 34 .…”

“…Furthermore, the use of NC materials in PCs may aid in the development of new PBGs 32 – 36 . It also allows reducing absorption values based on the volume fraction of the dispersive medium and the nanoparticles spherical radius 31 , 37 . Metal-dielectric NCs have recently been suggested as potentially appealing PC materials with unique plasmon resonance optical characteristics 38 .…”

“…The optical properties of PCs, particularly absorption characteristics, can be adjusted as a result of using plasmonic NCs as doping elements in the dielectric layer 42 – 45 . In this context, the Maxwell–Garnett model is utilized to characterize the effective permittivity of NC materials based on the filling fractions of NPs 46 , 47 . When the damping value of the spherical Ag–NPs increases with temperature, the dielectric permittivity of NCs is regulated, and thus temperature, filling fraction, and radius of the NPs embedded in the host material can be used to control PBG properties.…”

Effective Permittivity of Biological Tissue: Comparison of Theoretical Model and Experiment

“…Because the effective permittivity is related to the structure and the properties of the composite materials, there are some inherent flaws in describing the physical properties of the additives in the medium [35]. Most of the theoretical researches are concerned with the volumetric fraction which cannot be determined accurately [36]. Most of the existing research work has not taken into account the influence of the frequency.…”

Theoretical Investigation of Coupling of Surface Plasmons in One-dimensional Periodic Structure of SiO2 and TiO2 with Defect of Nanocomposite of Liquid Crystals and Core–Shell Nanoparticles

“…As an example, nanocomposite (E7 + Ag-NPs) can tune the optical properties of 1DPS through variation of dielectric permittivity depending upon the size, shape and lling fraction of nanoparticles. The effective dielectric permittivity (function) or refractive index of NC can be calculated by using the Maxwell-Garnet model [43][44][45][46][47]. Vetrov et al [48] studied the optical Tamm states originating at the interface between the photonic crystals and NC containing core-shell structures, and reported that the Tamm states occur only for the negative value of the real dielectric permittivity of the NC layer.…”