Mie resonances and Bragg-like multiple scattering in opacity of two-dimensional photonic crystals

Abstract

The lowest (main) and high-order Mie resonances and the Bragg-like multiple scattering of electromagnetic (EM) waves are determined as three mechanisms of formation and frequency position of two opaque bands, with narrow peaks in one of the bands in the transmission spectra of 2D photonic crystals composed of dielectric cylinders arranged parallel to the EM wave's electric vector in the square lattice. The main Mie resonance in a single cylinder defines the frequency position of the main gap whose formation results from the Bragg-like scattering. An additional gap with narrow transmission peaks opens in the spectrum of a cylinder layer and becomes pronounced with the number of layers. It is argued that higher-order Mie resonances are responsible for the transmission peaks within the additional band of a perfect crystal. It is shown that 2D photonic crystals with a filling factor ranging from 3% to 20% at a fixed crystal period may be a good zero approximation to study wave transmission through a localizing 2D dense random medium slab.

Metallic Nanoshells with Semiconductor Cores: Optical Characteristics Modified by Core Medium Properties

“…With increasing nanoparticle size, these spectral features redshift, and additional features in the near and mid-infrared can be observed. These additional extinction peaks are due to scattering at the Mie resonances of the particles. , Theoretical extinction spectra of the Cu 2 O nanoparticles (Figure C) were obtained using Mie theory, assuming a spherical geometry with diameters matching the experimentally obtained nanoparticle sizes and the complex frequency-dependent empirical dielectric function tabulated in Palik , for bulk Cu 2 O. The calculated extinction spectra correspond well to the measured spectra for all nanoparticle sizes studied.…”

Ordered carbon nanotubes and globular opals as a model of multiscaling photonic crystals

“…According to M. Barabanenkov [1] and V. Kosobukin [2], a definition of photonic crystals or existence of forbidden photonic band (FPB) could be based on the following features: periodicity in three dimensions; small absorbance (multiple scattering); dielectric contrast n 1 /n 2 > 2/3; a volume ratio of structural units of a photonic crystal to pore filling environment should be small; structure is good when optical path in both materials is the same; deviation in sizes is much less than the average particle size: ∆R << R avg ; displacement of the structural elements is much less than a distance between the elements of the structure: ∆u << a.…”

“…Electromagnetic wave propagation through a structure with sizes of elements close to the wavelength leads to Bragg diffraction, multiple scattering, etc. As a result of this process, a forbidden photonic band arises [1][2][3][4][5]. Photonic crystals with a tunable forbidden band are of interest for researchers and technical applications.…”

Absorption effects on the Mie plasmon-polariton modes in two-dimensional plasmonic photonic crystals

“…The excitation of MPPs in metallic nanoshells have been studied [22][23][24][25][26][27]29,28,30] from the theoretical and experimental points of view, showing that the optical resonance of these nanoparticles can be varied over hundreds of nanometers in wavelength, across the visible and into the infrared region of the spectrum, by varying the relative dimensions of the core and shell, making it very suitable to design absorbing plasmonic-based platforms working within a desired frequency range. On the other hand, previous studies in two-dimensional plasmonic PCs have been only performed by considering solid metallic rods as the building components http [31][32][33][34][35], where some few MPP resonances are observed when compared with the present case. Such a behavior, in the case of shell rods, may be explained by taking into account the electromagnetic interaction between the inner and outer walls, which leads to a new scheme of polarization, resulting in a mode splitting characterized by symmetric and antisymmetric mode branches, similar to the case of a thin metallic film [25].…”