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应用多光子非线性Compton散射模型,研究了Compton散射下介电系数对等离子体光子晶体色散的影响,考虑Compton散射对介电系数的影响,给出了一维等离子体光子晶体色散关系式,并进行了数值模拟。结果表明:与散射前相比,当介电系数ε=1时,不出现禁带;当ε<3时,随着ε的增大,一级禁带宽先缓慢增大,再到最大值,后缓慢减小,二级禁带宽先缓慢增大后趋于饱和值0.69,较散射前减小了0.03,两禁带ε临界值为5.4,较散射前减小了0.6;当ε<5.4时,一级禁带宽明显大于二级,较散射前减小了0.04;当ε>5.4时,二级禁带宽大于一级,二者差值比散射前明显减小;截止频率和二级禁带边缘频率均向低频方向较快移动,且二级禁带边缘频率变化幅度明显大于截止频率。
The effect of Compton scattering on the dispersion of plasma photonic crystals is investigated by using the multiphoton nonlinear Compton scattering model. The dispersion of one-dimensional plasma photonic crystals is given by considering the effect of Compton scattering on the dielectric constant. The numerical simulation was carried out. The results show that no band gap appears when the dielectric constant ε = 1 compared with that before scattering. When ε <3, the band gap of first-order band first slowly increases when ε increases, Then slowed down slowly. The bandwidth of the secondary band gap first increased slowly and then reached the saturation value of 0.69, which was 0.03 less than that before the scattering. The cutoff ε threshold was 5.4, which was 0.6 less than that before the scattering. When ε <5.4 , The first-order forbidden bandwidth is obviously larger than second-order, which is reduced by 0.04 before scattering. When ε> 5.4, the second-order forbidden bandwidth is more than one level, the difference between the two is obviously smaller than before scattering; the cut-off frequency and the second- The edge frequencies move faster in the low frequency direction, and the amplitude of the second-level forbidden band edge frequency is obviously larger than the cut-off frequency.