中文摘要：

分析了光子晶体谐振腔（PBGC）的模式选择功能,实现PBGC回旋管振荡器高阶电磁模与高次电子回旋模的有效耦合。通过对PBGC禁带特性的分析,定出了工作模式TE34模,并成功抑制了模式竞争。文中建立了PBGC回旋管的等效半径的概念,完成了自洽非线性理论和相关的计算机数值模拟程序。研究发现TE34模能有效地与电子的3次回旋谐波相互作用,其耦合频率为130.5GHz,并极大地降低了对工作磁场的要求。在考虑诸多物理因素影响的情况下,对该3次谐波PBGC回旋管振荡器进行了参数优化研究,得到了参数为：电压430kV、电流35A、磁场1.84T、输出功率1.75MW、互作用效率11.5%的3次谐波TE34模PBGC回旋管振荡器。

英文摘要：

Effective coupling of interaction between high-order electromagnetic mode gyrotron oscillator and high-effective electron cyclotron mode is achieved through the analysis of mode selection function of the photonic band gap cavity（PBGC）.After band characteristics of the PBGC are investigated,TE34-mode is set as working mode and the mode competition is suppressed successfully.The concept of equivalent radius of PBGC gyrotron is established,self-consistent nonlinear theory and related computer simulation program are completed.Studies have shown that TE34-mode can interact with third electronic cyclotron harmonics effectively,the coupling frequency of which is 130.5GHz,and meanwhile it reduces the required magnetic field greatly.The parameters are optimized when many physical factors are taken into account,and a third-harmonic PBGC gyrotron oscillator with voltage 430KV,current 35A,output power 1.75MW and interaction efficiency 11.5% are obtained consequently.