Optical Properties Of One Dimensional Ce:YIG-based Magneto Photonic Crystals

Photonic crystals, proposed in 1987 by S.John and E.Yablonovitch independently, is an artificial periodic dielectric structure with photonic band gaps. That is, the frequency of the electromagnetic wave in the photonic band gaps is prohibited. Magneto-optical crystals, which contains magnetic material and dielectric layers, not only has photonic crystals properties, but also has magneto-optical effect. It can be used to make optical isolators, modulators, optical switches and other optical devices.One-dimensional magneto-optical photonic crystals is a photonic crystals which is produced by the refractive index of different dielectric and magneto-optical media in one direction, while in the other two directions are uniformly distributed periodic structure.Firstly, on the basis of Berreman matrix, the transfer matrix equations of the TE polarized light and TM polarized light incident through one dimensional magnetooptical photonic crystals are derived respectively, and the detailed calculation procedure and the specific expressions are given.Secondly,by using the transfer matrix we study one dimensional magnetooptical photonic crystals Faraday rotation angle and transmittance. Studies have shown that, there exists a center wavelength of 1.55 band gap; in the forbidden band, the Faraday rotation angle is close to zero. The strength of the long wave field is mainly localized in magneto-optical media, and the short wave field strength is mainly localized in the dielectric. At the long wave band edge the Faraday rotation angle is greater than that at the short wave band edge; with the increase of the angle of incidence, TE and TM polarization of polarized light band is shifted to shorter wavelengths. At the band edge of TE polarization, the Faraday rotation angle will be smaller, the property for the TM polarized light is just the opposite.Finally, we calculate the optical transmission properties of one dimensional photonic crystals with conjugated hetero-junction and optical transmission properties of one dimensional photonic crystals with multi conjugated heterojunction structure, including Faraday rotation angle, elliptic rate angle and transmittance. Studies have shown that, with the increase of the number of layers in the conjugated hetero junction structure, the transmittance will decrease, but the Faraday rotation angle will increase, and cannot achieve high transmission and large Faraday rotation angle. In one dimensional magneto-photonic crystals with multi conjugated hetero junction structure, 45 degrees Faraday rotation angle can be achieved with a high transmittance at the same time. The above research has reference value for the preparation and application of new magneto-optic devices, for optical information processing and for optical communications.