A Contribution to the Design of Multi-Element Directional Couplers

Crompton J.W.

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A Contribution to the Design of Multi-Element Directional Couplers

机译：对多元件定向耦合器设计的贡献

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A multi-element directional coupler is considered as a cascaded set of 2-element directional couplers, each of which, at the design frequency, is perfect in match and directivity. A characteristic impedance matrix and a voltage transfer matrix may be defined for each of the basic 2-element couplers, and these are analogous to the characteristic impedance and the propagation coefficient in iterative 4-terminal network theory. The voltage transfer matrix is shown to be a linear function of the cosine and sine of a certain angle which is related in a simple way to the coupling factor of the elemental coupler. This function has algebraic properties analogous to those of complex numbers. In particular, the use of de Moivre's theorem is shown greatly to simplify the design of multi-element couplers. An example is given of the design of a 5-slot 3 dB coupler (a binomial slot hybrid).

机译：多元件定向耦合器被认为是级联的2元件定向耦合器，在设计频率下，每个都在匹配和方向性方面都是完美的。可以为每个基本2元件耦合器定义一个特征阻抗矩阵和一个电压传递矩阵，它们类似于迭代4端子网络理论中的特征阻抗和传播系数。电压传递矩阵显示为一定角度的余弦和正弦的线性函数，该函数以简单的方式与基本耦合器的耦合因子相关。此函数的代数性质类似于复数的性质。特别是，极大地证明了使用de Moivre定理可以简化多元件耦合器的设计。给出了5槽3 dB耦合器（二项槽混合）的设计示例。

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《Proceedings of the IEE - Part C: Monographs》 |1957年第6期|共5页
作者
Crompton J.W.;
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Weapons Research Establishment, Adelaide, Australia;

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1. Design of Compensated Coupled-Stripline 3-dB Directional Couplers, Phase Shifters, and Magic-T's--Part II: Broadband Coupled-Line Circuits [J] . Slawomir Gruszczynski, Krzysztof Wincza, Krzysztof Sachse IEEE Transactions on Microwave Theory and Techniques . 2006,第9期

机译：补偿耦合带状线3 dB定向耦合器，移相器和Magic-T's的设计-第二部分：宽带耦合线电路
2. Design of Compensated Coupled-Stripline 3-dB Directional Couplers, Phase Shifters, and Magic-T's—Part I: Single-Section Coupled-Line Circuits [J] . Gruszczynski S., Wincza K., Sachse K. IEEE Transactions on Microwave Theory and Techniques . 2006,第期

机译：补偿耦合带状3 dB定向耦合器，移相器和Magic-T的设计-第一部分：单节耦合线电路
3. Asymmetric directional coupler type contra-directional polarization rotator Bragg grating: design [J] . Okayama Hideaki, Onawa Yosuke, Shimura Daisuke, Japanese journal of applied physics . 2019,第6期

机译：非对称定向耦合器型对向偏振旋转布拉格光栅：设计
4. A design mapping formula of asymmetrical multi-element coupled line directional couplers [C] . Joon-Bum Kil, Chul-Soo Kim, Kwan Sun Choi . 2001

机译：非对称多元件耦合线定向耦合器的设计映射公式
5. Design and optimization of lumped-element LCM directional couplers. [D] . Tillo, Edmund Joe, II. 1991

机译：集总元件LCM定向耦合器的设计和优化。
6. Rigorous Approach for Design of Differential Coupled-Line Directional Couplers Applicable in Integrated Circuits and Substrate-Embedded Networks [O] . Kamil Staszek, Krzysztof Wincza, Slawomir Gruszczynski -1

机译：设计适用于集成电路和衬底嵌入式网络的差分耦合线定向耦合器的严格方法
7. On the Plurality of Solutions in Synthesizing Asymmetric Multi-Element Coupled-Transmission-Line Directional Couplers [O] . SHIBATA Koji, SHINADA Yuji, MATSUMOTO Akio 1976

机译：综合非对称多单元耦合传输线定向耦合器的多种解

A Contribution to the Design of Multi-Element Directional Couplers

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