Interface State And Reflection Phase Of Photonic Bands In One-dimensional Photonic Structures

With the development of semiconductor technology,microelectronics integrated technology has made rapid development.On the other hand,the photons have faster information transfer characteristic than electrons,and the physical dimension of various photon structures makes them more advantageous in integration.Therefore,micro photonic devices will have important application significance for the development of optical integration technology in the future.As the simplest artificial electromagnetic structure,one-dimensional photonic structure is easy to prepare and has more practical significance.In the thesis,we use the transmission matrix method?TMM?to analyze the band gap spectrum and reflection phase of one-dimensional layered photonic structures.Through the combination of two photonic structures,the conditions for generating interface states in the band gap were studied,and then its tunable characteristics were calculated.It has important application significance in optical-path modulation device such as the extremely narrow band filter.In addition,based on effective medium theory proposed by F-P interference,the layered photonic structure is equivalent to a dielectric film with refractive index of Fano resonance.It provides ideas and theoretical guidance for the phase measurement of photonic structure.The main research includes the following aspects:1 This chapter shows the basic situations and the theoretical research methods of photonic band gap structures.The preparation methods and typical applications of one-dimensional layered photonic structures are emphasized introduced.2 Based on transfer matrix method of a dielectric film,analyzed the band gap spectrum and phase calculation methods of layered photonic structures.And calculated the band gap spectrum and reflection phase of one-dimensional inverted symmetric photonic structures with the same structure parameters but different symmetric centers.The conditions and rules of interface state in one-dimensional inverted symmetric composite structures have been researched.The research indicated the reflection phase sum of two photonic structures equal to zero at the interface state frequency.For composite structures consisting of two inverted symmetric layered structures,the interface state will appear in the central of all odd band gaps,but no interface states in even band gaps.3 Based on one-dimensional inverted symmetric photonic structures,researched the conditions of interface state in composite structures by breaking the inversion symmetry of two layered structures.The calculated results show that interface state will appear in all band gaps and the reflection phase sum of two photonic structures equal to zero in the interface state frequency.Besides,the interface state can regulated and controlled in the band gaps by changing the layer thickness of composite structures at the composite interface,and the number of regulation cycles is related to the number of band gaps.4 By analyzing the band structure and effective refractive index of layered photonic structures,proposed a dispersion relation with Fano resonance to fitting the effective refractive index.And then using F-P interference theory analyzed the reflection phase of layered photonic structures by treating the layered photon structure as a uniform dielectric film with effective refractive indexn_eff.The results matched well with calculation of transfer matrix method and provided a new idea to reflection phase measurement in the photonic bands.