二维谐振腔.pdf

二维谐振腔 Qiong-Gui Lin, Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls ，Chin. Phys. B 19 (2010) 010302. 本文研究了一种特殊的谐振腔。一类常见的谐振腔由柱形波导加上导体端面 构成。但是，没有端面的柱形波导管本身就可以成为二维谐振腔。在这种谐振腔 中，即使腔壁具有有限的电导率且腔内填充了耗散介质，本征电磁振荡也总可以 取为 TM 或 TE 模式，这不同于波导管中行波的情况。对于圆柱情况，本文获 得了场方程的解析解。由本征值方程导出了一些非微扰结论。 对于良导体腔壁和小耗散介质，获得了振荡频率的近似解析解。讨论了本征 模式的稳定性。对于同轴线，得到了类似的结果。 林琼桂老师 推荐 Lin Qiong-Gui(林琼桂)† resonant cavity, nonperturbative solution, dissipative medium, finite conductivity 0350D, 4110H larly for the magnetic field. The fields are independent of z , in the transverse directions they are mainly con- In classical electrodynamics, the subject of waveg- fined to a finite region, and the possible frequency is uides and resonant cavities is of practical importance. determined by the field equations and boundary con- The physical theory for the subject has been well de- ditions. Therefore they are typically electromagnetic veloped and their applications have also been widely oscillations in a two-dimensional cavity. Here ‘two- studied.− Yet it remains an active subject of cur- dimensional’ means that all fields are independent of rent researches.