浅析等效源反射系数以及K. Shimaoka测量方法的局限性

贾超; 张一航; 陈硕; 李勇; 崔孝海

doi:10.12338/j.issn.2096-9015.2024.0090

浅析等效源反射系数以及K. Shimaoka测量方法的局限性

doi: 10.12338/j.issn.2096-9015.2024.0090

贾超^1,,
张一航²,
陈硕¹,
李勇¹,
崔孝海^1, ,

1.
中国计量科学研究院，北京 100029
2.
河南工业大学，郑州 450001

详细信息

作者简介:
贾超（1986-），中国计量科学研究院工程师，研究方向：散射参数溯源与测量技术，邮箱：jiachao@nim.ac.cn

通讯作者:
崔孝海（1973-），中国计量科学研究院研究员，研究方向：毫米波及太赫兹测量、传感及计量技术，邮箱：cuixh@nim.ac.cn

中图分类号: TB973
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出版历程
- 收稿日期: 2024-03-18
- 录用日期: 2024-05-06
- 修回日期: 2024-05-06
- 网络出版日期: 2024-06-27

Analysis of the Equivalent Source Reflection Coefficient and Limitations of K. Shimaoka’s Measurement Method

1.
National Institute of Metrology, Beijing 100029, China
2.
Henan University of Technology, Zhengzhou 450001, China

摘要

摘要: 等效源反射系数在微波功率测量与测量结果的不确定度评定中占有决定位置。首先介绍了在稳幅信号源系统中的源反射系数，和使用三端口器件测量功率比值时等效源反射系数之间的关系，从失配因子的角度解释了等效源反射系数中“等效”的含义。其次，简要介绍了日本K. Shimaoka提出的利用网络分析仪与三端口器件测量等效源反射系数方法的工作原理与使用的局限性。最后，以N型功分器和定向耦合器为测量对象，基于K.S方法与传统公式方法在1～18GHz频段进行了相关实验与结果的比较与验证。结果表明，K.Shimaoka的等效源反射系数测量方法具有一定局限性，由于该计算方法中获得的传输系数之差较小，该项容易对细微变化敏感，因此不适用于使用方向性较好的三端口器件（如：定向耦合器）时的等效源反射系数测量。
- 计量学 /
- 等效源反射系数 /
- 定向耦合器 /
- 功分器 /
- K.Shimaoka法 /
- 方向性
Abstract: The equivalent source reflection coefficient plays a crucial role in microwave power measurement and uncertainty evaluation. This paper first discusses the relationship between the source reflection coefficient in amplitude-stabilized signal source systems and the equivalent source reflection coefficient when measuring power ratios using three-port devices. The concept of "equivalent" in the equivalent source reflection coefficient is explained from the perspective of the mismatch factor. Next, the working principle and limitations of K. Shimaoka's method for measuring equivalent source reflection coefficient using a network analyzer and three-port devices are briefly introduced. Finally, experiments and comparisons are conducted using N-type power dividers and directional couplers as measurement objects, based on K. Shimaoka's method and the traditional formula method in the 1-18 GHz frequency range. Results indicate that K. Shimaoka's method for measuring equivalent source reflection coefficient has certain limitations. Due to the small difference in transmission coefficients obtained in this calculation method, it is sensitive to minor changes and thus unsuitable for measuring equivalent source reflection coefficients when using three-port devices with good directionality (such as directional couplers).
- metrology /
- equivalent source reflection coefficient /
- directional coupler /
- power divider /
- K. Shimaoka method /
- directivity

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图 1 稳幅信号源示意图

Figure 1. Schematic diagram of amplitude-stabilized signal source

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图 2 直接比较法示意图

Figure 2. Schematic diagram of direct comparison method

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图 3 失配空气线组合体测量等效源反射系数示意图

Figure 3. Schematic diagram of equivalent source reflection coefficient measurement for mismatched air line combination

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图 4 测量功分器示意图

Figure 4. Schematic diagram of power divider measurement

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图 5 测量定向耦合器示意图

Figure 5. Schematic diagram of directional coupler measurement

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图 6 定向耦合器基于公式（6）中的分母数值

Figure 6. Denominator values in equation (6) for directional couplers

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图 7 功分器基于公式（6）中的分母数值

Figure 7. Denominator values in equation (6) for power dividers

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图 8 定向耦合器方向性在K.S方法与传统公式下的测量值比较

Figure 8. Comparison of directionality measurements for directional couplers using K.S. method and traditional formulas

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图 9 定向耦合器等效源反射系数在K.S方法与传统公式法下的测量值比较（模值与相角）

Figure 9. Comparison of equivalent source reflection coefficient measurements (magnitude and phase angle) for directional couplers using K.S. method and traditional formula method

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