为了研究多光子非线性Compton散射对横向磁光效应磁化等离子体光子晶体光子带隙特性的影响，采用多光子非线性Compton散射模型和时域有限差分法进行了理论分析和实验验证，取得了关于晶体色散和调制不稳定性、光子带宽变化的重要数据，并提出了将入射光和Compton散射光作为磁化等离子体光子晶体色散的新机制。结果表明，Compton散射使等离子体色散增强，耦合电磁波通带变窄、阻带变宽，有效地降低了电磁波传输中的交叉相位调制的不稳定性，频率低于等离子体频率的电磁波在等离子体中的传播几率减小。

For studying effect of multi-photon nonlinear Compton scattering on photonic band gap properties of magnetized plasma photonic crystals under the transverse magneto-optical effect， it was analyzed based on the multi-photon nonlinear Compton scattering model and finite difference time domain algorithm. Some important data on the crystal dispersion and modulation instability and photonic band width were obtained. A new dispersion mechanism of magnetized plasma photonic crystals formed by incident light and scattered optical was put forward. The results show that the plasma dispersion can be increased by the multi-photon nonlinear Compton scattering, and the narrower conduct band of electromagnetic wave and wider forbidden band than before Compton scattering are formed，therefore，the instability of the cross phase modulation in electromagnetic wave propagation is decreased， and that the propagation probability of electromagnetic wave is decreased at lower frequency than plasma.