The Magnetron Photonic Switching Circuits And Magnetic Field In The Two-dimensional Photonic Crystal Band-gap Structures Of The Two-dimensional Magnetic Lattice

Photonic band structure of photonic crystal (PC) can be tuned by modifying the dielectric constant. The same result can be also realized by control of the permeability of the PC. Ferrite possesses the permeability that varies with the external static magnetic field applied on the ferrite. Thus, the photonic crystal composed of ferrite and common dielectric material will have some unique characters. Based on this idea, we propose a model of magnetron photonic switching circuit and make it successful theoretically in this thesis.This model consists of a two-dimensional dielectric PC, in which a row of dielectric scattering pillars is substituted with that of ferrite pillars with the same dielectric constant. This substitution should not change the photonic band gap (PBG) of the original PC without external magnetic field applied because the permeability of ferrite pillars equals to one. When the external magnetic field is applied, the permeability will increases and the row of ferrite pillars becomes a line defect. If the line-defect modes appear within the original PBG, this system is just a magnetron photonic switching circuit. In this thesis, the magnetron photonic switching circuit is designed and calculated by using the plane wave expansion method in combination with super-cell method.We also investigate and discuss the PBG structures in more complicated ferrite PC systems when external magnetic field is applied.