Influence on dielectric constant to the dispersive of plasma photonic crystals

Abstract

By using the model of the multi-photon nonlinear Compton scattering,the influences of Compton scattering on the dielectric constant to the dispersive of one-dimensional plasma photonic crystals are studied,the dispersive relations of the one-dimensional plasma photonic crystals are given out under the influence on Compton scattering to dielectric constant,and the dispersive relations are simulated by using numbers.The results show that than before the Compton scattering,when the dielectric constante=1,the band gap can not be taken place;whene3,the first band gap width is slowly increased,then it is come a maximum number,and finally it is slowly decreased;the second band gap width is firstly slowly increased,then it is come saturation number 0.69,0.03is decreased than before the scattering.The critical numbereof the two band gaps is 5.4,and 0.6is decreased than before the scattering.Whene5.4,the first band gap width is clearly bigger than the second band gap width,and 0.04is decreased than before the scattering;whene5.4,the second band gap width is bigger than the first band gap width,and their difference number is clearly decreased than before the scattering;the cut-off frequency and the boundary frequency of the second band gap are faster moved to low frequency direction,and the changed extent of the boundary frequency of the second band gap is the clear big than the cut-off frequency.