Fitting transmission and Faraday rotation spectra of Bi_(3)Fe_(5)O_(12)/Sm_(3)Ga_(5)O_(12)~(m) magneto-optical photonic crystals

摘要

A consistent microscopic approach is developed to simulate the transmittance and Faraday rotation in all-garnet heteroepitaxial magneto-optical photonic crystals (MOPCs). To compare the experimental and simulation results, Bi_(3)Fe_(5)O_(12)/Sm_(3)Ga_(5)O_(12)~(m) (BIG/SGG) MOPC designed to operate at a telecommunication wavelength (lambda)_(res)(velence)980 nm was chosen. It was composed of BIG/SGG~(5) and SGG/BIG~(5) distributed Bragg reflectors with a microcavity layer of BIG in between. The dispersion relations of the diagonal and off-diagonal elements of the permittivity tensor epsilon for BIG in the electric dipole approximation were obtained from the simulation of the transmittance and Faraday rotation for a reference single layer BIG film. Revealed dispersion relations were then combined with the 4 X 4 matrix formalism for magnetic superlattices to compute transmission and Faraday rotation spectra of the MOPC. The results of numerical simulations were found to be in good agreement with the experimental ones.