Reflection symmetry letters full#

In addition, studies of the localization of waves in aperiodic systems are of interest. It was demonstrated that the absence of the translational symmetry in ordered two-dimensional quasicrystalline structures does not affect the modulation of the local density of states of the electromagnetic field. Such structures in the real space correspond to the superposition of numerous gratings with the uniform distribution of orientations in the total solid angle 4π.

Reflection symmetry letters full#

The numerical calculations show the possibility of achieving the effective scattering and absorption of the electromagnetic energy up to 94% in a narrow frequency range and in a narrow interval of angles of incidence at a dielectric contrast of two materials of 1.07.Ī quasicrystalline structure that has a full band gap at a low dielectric contrast, which can be reached using polymeric materials, has recently been demonstrated in using the reciprocal space design. The theoretical analysis of the properties of the structure has confirmed the frequency–angular selectivity of scattering. A structure with a low dielectric contrast has been formed after the binarization of the refractive index.

The material distribution has been determined by the transition to the real space. The maxima of the Fourier transform of the desired distribution of the permittivity in the reciprocal space are located along two arcs on the Ewald sphere, which corresponds to the scattering of the wave with the required wavelength and angle of incidence. Quasicrystalline photonic structures, which ensure the selective scattering of an electromagnetic wave incident on the sample, have been designed. Design methods in the reciprocal space allow one to obtain structures with desired properties.