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用八孔耦合器识别TM01/TE11混模中TE11模式的方法

任杰 翁明 雷乐 林舒 曹猛 翟永贵

任杰, 翁明, 雷乐, 等. 用八孔耦合器识别TM01/TE11混模中TE11模式的方法[J]. 强激光与粒子束, 2022, 34: 093001. doi: 10.11884/HPLPB202234.220040
引用本文: 任杰, 翁明, 雷乐, 等. 用八孔耦合器识别TM01/TE11混模中TE11模式的方法[J]. 强激光与粒子束, 2022, 34: 093001. doi: 10.11884/HPLPB202234.220040
Ren Jie, Weng Ming, Lei Le, et al. Method for identifying TE11 mode in TM01/TE11 mixed mode system with eight-hole coupler[J]. High Power Laser and Particle Beams, 2022, 34: 093001. doi: 10.11884/HPLPB202234.220040
Citation: Ren Jie, Weng Ming, Lei Le, et al. Method for identifying TE11 mode in TM01/TE11 mixed mode system with eight-hole coupler[J]. High Power Laser and Particle Beams, 2022, 34: 093001. doi: 10.11884/HPLPB202234.220040

用八孔耦合器识别TM01/TE11混模中TE11模式的方法

doi: 10.11884/HPLPB202234.220040
基金项目: 国家自然科学基金项目(61971342)
详细信息
    作者简介:

    任 杰,1090075853@qq.com

    通讯作者:

    翁 明,wengming@xjtu.edu.cn

  • 中图分类号: TN98;TM931

Method for identifying TE11 mode in TM01/TE11 mixed mode system with eight-hole coupler

  • 摘要: 在高功率微波传输系统中,为了提高功率容量和效率,往往采用过模波导,因此圆波导中往往出现TM01和TE11混合模式的情况。采用角向均匀分布的8孔圆波导耦合器,对提取TE11模式的混合比和极化角度的方法进行了分析和研究。分析了圆波导中TM01和TE11模式在耦合孔处的电场分布,并采用CST对各耦合孔的输出功率进行了模拟计算,得出相互正对的耦合孔的平均功率与8个孔的平均功率之比与模式之间的相位差无关的结论。同时,发现该比值与TE11模式的混合比成线性关系,线性关系中的比例系数是极化角度线性函数。通过线性拟合获得了计算TE11模式混合比和极化方向的表达式。与仿真设定的参数相比,用该表达式计算的结果表明,在TE11模式混合比小于30%时,用其计算TE11模式的混合比和极化角度是可行的,误差不超过10%。在此基础上,给出了实际情况下TE11模式信息的具体判断方法。
  • 图  1  圆波导八孔耦合器结构示意图

    Figure  1.  Schematic diagram of the circular waveguide eight-hole coupler structure

    图  2  圆波导中TM01和TE11模式的场分布

    Figure  2.  TM01 mode and TE11 mode in circular waveguide

    图  3  耦合孔端口序号示意图

    Figure  3.  Schematic diagram of the serial number of the coupling hole ports

    图  4  系数b与极化角度χ的关系

    Figure  4.  Relationship between the proportionality coefficient b and the polarization angle χ

    表  1  功率比与相位差的关系

    Table  1.   Relationship between power ratio and phase difference

    Δφ/(°)${\bar P_{3,7}}/{\bar P_{}}$${\bar P_{2,6}}/{\bar P_{}}$${\bar P_{4,8}}/{\bar P_{}}$${\bar P_{1,5}}/{\bar P_{}}$
    01.1650.9231.0760.834
    701.1650.9231.0760.834
    1401.1650.9231.0760.834
    2101.1650.9241.0760.834
    2801.1650.9231.0760.834
    3501.1650.9231.0760.834
    下载: 导出CSV

    表  2  功率比与极化角度和模式混合比的关系

    Table  2.   Relationship between power ratio and polarization angle and mode mixing ratio

    χ/(°)ρ/%${\bar P_{1,5}}/{\bar P_{}}$${\bar P_{2,6}}/{\bar P_{}}$${\bar P_{3,7}}/{\bar P_{}}$${\bar P_{4,8}}/{\bar P_{}}$
    0 0 0.999 0.999 1.000 1.000
    2 0.989 1.000 1.010 1.000
    4 0.978 1.000 1.021 1.000
    6 0.968 0.998 1.032 1.000
    8 0.956 1.000 1.043 0.999
    10 0.945 1.000 1.054 0.9991
    5.625 0 0.999 0.999 1.000 1.000
    2 0.989 0.997 1.010 1.002
    4 0.979 0.995 1.020 1.004
    6 0.968 0.993 1.031 1.006
    8 0.957 0.991 1.042 1.008
    10 0.946 0.989 1.053 1.010
    11.25 0 0.999 0.999 1.000 1.000
    2 0.988 0.993 1.015 1.002
    4 0.980 0.991 1.019 1.008
    6 0.970 0.987 1.029 1.012
    8 0.960 0.983 1.040 1.016
    10 0.949 0.979 1.050 1.020
    16.875 0 0.999 0.999 1.000 1.000
    2 0.991 0.994 1.008 1.006
    4 0.982 0.988 1.017 1.011
    6 0.973 0.982 1.026 1.017
    8 0.964 0.975 1.035 1.024
    10 0.954 0.969 1.045 1.030
    22.5 0 0.999 0.999 1.000 1.000
    2 0.992 0.992 1.007 1.007
    4 0.985 0.985 1.015 1.014
    6 0.977 0.977 1.022 1.022
    8 0.969 0.969 1.030 1.031
    10 0.961 0.961 1.038 1.038
    下载: 导出CSV

    表  3  计算结果与设定值的比较

    Table  3.   Comparison of calculation result and set value

    Δφ/(°)ρs/%χs/(°)ρc/%χc/(°)Δρ/%Δχ/%
    values of parameters in simulationcalculation results by formula-13error
    0 3 12.5 2.819 11.764 6.033 5.888
    70 3 12.5 2.810 11.800 6.333 5.600
    140 3 12.5 2.817 11.689 6.100 6.488
    210 3 12.5 2.817 11.689 6.100 6.488
    280 3 12.5 2.808 11.724 6.400 6.208
    350 3 12.5 2.819 11.764 6.033 5.888
    0 5 12.5 4.760 11.640 4.800 6.880
    70 5 12.5 4.754 11.706 4.920 6.352
    140 5 12.5 4.768 11.619 4.640 7.048
    210 5 12.5 4.749 11.616 5.020 7.072
    280 5 12.5 4.749 11.616 5.020 7.072
    350 5 12.5 4.770 11.664 4.600 6.688
    0 7 12.5 6.741 11.619 3.700 7.048
    70 7 12.5 6.749 11.604 3.585 7.168
    140 7 12.5 6.731 11.602 3.842 7.184
    210 7 12.5 6.726 11.537 3.914 7.704
    280 7 12.5 6.737 11.555 3.757 7.560
    350 7 12.5 6.749 11.604 3.585 7.168
    0 3 0 2.795 −0.259 6.833
    70 3 0 2.802 −0.344 6.600
    140 3 0 2.794 −0.344 6.866
    210 3 0 2.777 −0.345 7.433
    280 3 0 2.787 −0.260 7.100
    350 3 0 2.806 −0.175 6.466
    0 5 0 4.717 −0.225 5.660
    70 5 0 4.726 −0.225 5.480
    140 5 0 4.713 −0.327 5.740
    210 5 0 4.711 −0.378 5.780
    280 5 0 4.713 −0.327 5.740
    350 5 0 4.715 −0.276 5.700
    0 7 0 6.681 −0.283 4.557
    70 7 0 6.669 −0.356 4.728
    140 7 0 6.669 −0.356 4.728
    210 7 0 6.665 −0.428 4.785
    280 7 0 6.669 −0.356 4.728
    350 7 0 6.685 −0.355 4.500
    下载: 导出CSV

    表  4  式(13)的应用范围

    Table  4.   Application range of formula (13)

    ρs/%χs/(°)ρc/%χc/(°)Δρ/%Δχ/%
    values of parameters in simulationcalculation results by formula-13error
    2 5.625 1.911 5.378 4.450 −2.343
    3 12.500 2.819 11.764 6.033 5.888
    4 5.625 3.851 5.143 3.725 4.005
    5 12.500 4.760 11.640 4.800 6.880
    6 11.250 5.795 10.407 3.416 7.493
    7 12.500 6.741 11.619 3.700 7.048
    8 5.625 7.895 5.085 1.312 9.600
    10 16.875 9.371 16.052 6.290 4.877
    30 12.500 32.653 11.510 −8.843 7.920
    50 12.500 61.130 11.518 −22.26 7.856
    70 12.500 97.920 11.490 −39.885 8.080
    下载: 导出CSV
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  • 收稿日期:  2022-02-05
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  • 网络出版日期:  2022-04-18
  • 刊出日期:  2022-06-17

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