Permittivity disorder induced Anderson localization in magnetophotonic crystals

• We theoretically investigated the permittivity disorder induced Anderson localization of light in magnetophotonic crystals.
• The disorder considered in the diagonal elements of the permittivity tensor of magneto-optical layers.
• The disorder create the resonant transmittance modes associated with enhanced Faraday rotations in the photonic band gap.
• The average localization length of the circular polarizations and the ensemble average of their phases were investigated.
• The obtained results revealed the nonreciprocal property of circular eigen modes.

This theoretical study was carried out to investigate the permittivity disorder induced Anderson localization of light in one-dimensional magnetophotonic crystals. It was shown that the disorder create the resonant transmittance modes associated with enhanced Faraday rotations inside the photonic band gap. The average localization length of the right- and left-handed circular polarizations (RCP and LCP), the total transmittance together with the ensemble average of the RCP and LCP phases, and the Faraday rotation of the structure were also investigated. For this purpose, the off-diagonal elements of the permittivity tensor were varied for various wavelengths of incident light. The obtained results revealed the nonreciprocal property of circular eigen modes. This study can potentially open up a new aspect for utilizing the disorder magnetophotonic structures in nonreciprocal systems such as isolators and circulators.