Abstract:
The magneto-optical Faraday effect in one-dimensional three-periodic photonic crystal structures based on dielectrics (SiO$_2$, TiO$_2$) and ferrite garnets (YIG, Bi:YIG) forming supercells of the $[(ab)^N(cd)^M]$ type is theoretically investigated. A polar magneto-optical configuration is considered, in which the magnetization vectors of the magnetic layers of photonic crystals are orthogonal to the layer boundaries, and the electromagnetic wave propagating in the photonic crystal structure has a component of the wave vector along the direction of the magnetization vectors. Using the (4 $\times$ 4) matrix method, frequency-angular spectra of the passage of plane electromagnetic waves through these photonic crystals are obtained. The position and structure of transmission bands in the spectra of photonic bandgaps, the dependences of the Faraday rotation angles on the frequency and the angle of incidence of the electromagnetic wave for photonic crystals at N = 3, M = 5 and K = 7 (optimal number of periods) for different thicknesses of magnetic layers are investigated. It is shown that in three-periodic photonic crystals it is possible to combine high values of transmission coefficients and Faraday rotation angles, which makes these structures promising for various technical applications.
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