Corrugated coaxial gyrotron with tilted inner conductor
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摘要: 同轴回旋管中不可避免发生内导体倾斜。主要研究了内导体倾斜对特征根、Q值、谐振频率、横向电场、模式竞争和电子效率的影响，并以170 GHz TE31, 12内开槽同轴回旋管作为实例对内导体倾斜理论进行验证。结果表明，特征根和Q值随倾角θ增大而略微增加。在0~0.5°范围内，当θ稍微增大时，电子互作用效率稍微减少。如果θ增加到1.3°，则由于模式竞争严重，且横向电场畸变严重，电子互作用效率降低到只有5%。受内导体倾斜的影响, 随着θ增加，无论热腔还是冷腔，谐振频率都稍微增大。Abstract: The tilt of inner conductor unavoidably occurs in coaxial gyrotrons. The effects of tilted inner conductor on eigenvalue, quality factor Q, resonant frequency, transverse electric field, mode competition and electronic efficiency are presented. The theory is illustrated in a 170 GHz TE31, 12 corrugated coaxial-gyrotron. The results indicate that eigenvalue and quality factor Q increase slightly when the tilt angle θ of inner conductor increases. However, within the range of 0-0.5°, the electronic efficiency decreases slightly when θ grows. If θ increases to 1.3°, the efficiency of beam-wave interaction reduces to 5% because mode competition becomes serious and the transverse electric field is distorted severely. Effected by the tilted inner conductor, the resonant frequency of cavity increases slightly with θ rising.
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Key words:
- coaxial-gyrotron /
- eigenvalue /
- transverse electric field /
- efficiency /
- tilt
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图 1 内导体倾斜TE31, 12同轴回旋管腔体结构及O坐标系和O1坐标系(D≪R)
Figure 1. Structure of corrugated coaxial cavity of TE31, 12 with tilted inner conductor and O and O1 coordinate system (D≪R)
图 2 不同θ值下，TE31, 12模式特征根沿z轴的变化
Figure 2. Eigenvalue x of TE31, 12 along z-axis at different θ values
图 3 电阻率σ=6.896×10-8 Ω·m时，品质因数Q随倾斜角θ的变化
Figure 3. Dependence of quality factor Q on tilted angle θ of inner conductor at σ=6.896×10-8 Ω·m
图 4 TE31, 12模式频率随内导体倾角的变化
Figure 4. Frequency of the TE31, 12 mode vs tilted angle θ of inner conductor
图 5 不同θ值下，TE31, 12模式归一化振幅沿z轴分布
Figure 5. Normalized amplitude of TE31, 12 vs z-axis at different θ values
图 6 谐振腔中各模式相对振幅随内导体倾斜角θ的变化
Figure 6. Relative amplitudes vs the tilt angle θ of inner conductor at the middle of cavity
图 7 谐振腔中部模式TE31, 12的横向电场
Figure 7. Transverse electric field of TE31, 12 at the middle of cavity
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