The Band Gap And Electric Field Distribution Of Surface Wave On The Symmetric One-dimensional Photonic Crystal

Since surface waves were successfully excited by Robertson in 1999,photonic crystal surface waves have re-entered our field of view.When the lattice of the periodic photonic crystal is damaged and incomplete,there will be Bloch surface wave at the interface between the photonic crystal and the medium.The electromagnetic wave mode corresponding to the surface wave of the photonic crystal is localized at the interface between the photonic crystal and the medium,A new type of surface localized states,also known as photonic crystal surface states.Because of the photonic crystal surface state in the sensor,optical waveguide,polarization lasers and other aspects of the existence of a wide range of applications,thus it has become one of the hot spots in the recent research.In this paper,the symmetric photonic crystal structure model is selected as the object of study,and the numerical simulation of the local field distribution of the photonic band gap and surface wave is carried out by computer software.The main research work can be discussed from three aspects:Firstly,the energy band characteristics of normal photonic crystals are analyzed to find out the existence region of the surface wave in the band-gap.The dispersion relation and the electric field distribution of the symmetrical photonic crystal surface wave are calculated,and we also discuss the influence of the truncation coefficient on the surface wave of photonic crystals.Secondly,the photonic crystals with zero average refractive index will be fabricated by direct matching parameters,and the band-gap structure of the photonic crystals with zero average refractive index is simulated and analyzed by analyzing the optical properties of negative refractive index materials.The zero-average refractive index band-gap and the Bragg band gap are studied,in which the distribution of the surface wave in a semi-infinite photonic crystal with zero average refractive index and the influence of the thickness of the coating on the surface wave dispersion and local field distribution are mainly studied.Finally,the incident light beam is perpendicularly incident on the surface of the photonic crystal.The influence of the surface covering layer on the local electromagnetic field is more intuitionistic through simulating the intensity distribution of light beam on the photonic crystal surface and in its internal.