We investigate numerically transmittance of polarized electromagnetic wave through different binary multilayered
structures made of left- and right-handed materials. The transmittance is calculated as a function of wavelength,
incidence angle, refractive index and superlattices' parameters. The transfer matrix formalism is applied (tunnelling
is accounted). Absorption and strong dispersion in left-handed metamaterials are taken into account.
The results are presented in grey scale transmittance maps.
The dispersion relation for polarized light transmitting through a one-dimensional superlattice composed of
aperiodically arranged layers made of ordinary dielectric and negative refraction metamaterials is calculated
with finite element method. Generalized Fibonacci, generalized Thue-Morse, double-periodic and Rudin-Shapiro
superlattices are investigated, using their periodic approximants. Strong dispersion of metamaterials is taken
into account. Group velocities and effective refraction indices in the structures are calculated. The self-similar
structure of the transmission spectra is observed.
We calculate, using finite difference method, the dispersion relation of photons transmitting through a one-dimensional photonic quasicrystal arranged in a generalized Fibonacci, generalized Thue-Morse and double periodic sequence. The structure of dispersion curves clearly shows their self-similar structure. With this method of calculation, we can obtain distribution of the electric field and energy density, group velocity and effective refraction index for the structure. We discuss taking into consideration the dispersion in layer materials and negative index materials.
The new designing of Bragg reflectors as generalized Fibonaccian AlAs-GaAs semiconductor optical superlattices is presented. We found aperiodic superlattices which, with 1μm thickness, have reflectances exceeding 99% in the 1.31 μm wavelength range. These aperiodic Bragg reflectors can be used in fabrication of vertical-cavity surface-emitting lasers (VCSELs).
Using the transfer matrix formalism and dynamical maps technique, we calculate numerically transmittance of polarized electromagnetic wave through aperiodic superlattices (generalized Fibonacci, generalized Thue-Morse, double-periodic and Rudin-Shapiro), built of left- and right-handed materials. In our calculations, strong dispersion of left-handed materials is taken into account, leading to tunnelling effects in a wide range of wavelengths and incidence angles. The results are presented in gray scale transmittance maps.