Transversal magneto-optical Kerr effect in three-periodic bigyrotropic photonic crystals

We study one-dimensional three-periodic photonic crystal structures based on dielectrics (SiO$_2$, TiO$_2$) and ferrite garnets (YIG, Bi:YIG), forming supercells of the type $[(ab)^N(cd)^M]^K$. Using the 4 $\times$ 4 matrix method, the frequency-angular spectra of plane electromagnetic waves of orthogonal polarizations are studied, and a comparative analysis of photonic band gaps for non-magnetic and magnetic photonic crystals and their combinations are carried out. The transverse (equatorial) magneto-optical Kerr effect, which occurs under 180$^\circ$- magnetization reversal of the structures under consideration, has been studied. The applied aspect of using the results to create magnetically active optoelectronic components and nanophotonics devices operating in the infrared range is discussed.