Calculation of gap impedance of TM310 mode in coaxial output cavity with equivalent circuit theory
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摘要: 设计了外Q值较小,工作于高阶横磁TM310模的X波段速调管单间隙同轴输出谐振腔。用微波等效电路理论计算了高阶横磁TM310模情形六个漂移管的等效间隙中心位置,由此计算腔内等效间隙中心到输出波导内横向膜片的等效长度。以MATLAB编程计算得到同轴谐振腔TM310模式加载矩形波导滤波器输出回路的间隙阻抗,其结果与传统冷测模拟法计算结果吻合。验证了等效长度计算方法的正确性,用于圆柱腔基模的传统微波等效电路理论能用于分析同轴谐振腔高阶横磁模式输出回路,且比传统的冷测模拟法及场分析法更为快捷。Abstract: We have designed a single gap cylindrical coaxial cavity operating at transverse magnetic TM310-mode with low external quality factor for X-band klystron. Under the condition of the gap impedance imaginary part being zero at the working center frequency, the equivalent gap center of drift tubes at TM310 in the coaxial cavity is calculated with equivalent circuit theory, and then the equivalent length between the center and the transverse diaphragms in output waveguide is calculated. The equivalent gap impedance of the cylindrical coaxial cavity coupled with a waveguide filter containing a pair of transverse diaphragms is calculated with MATLAB and the result is coinciding with that of the cold test. This indicates that the equivalent length calculation method is correct. Thus the microwave equivalent circuit theory is not only applicable to analyzing TM010 mode in cylindrical cavity, but alsosuitable for studying the output circuit of high order transverse magnetic mode in single gap cylindrical coaxial cavity. Furthermore, its process is speedier compared with traditional cold test simulation and field analysis methods.
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