When the broadband impedance matching techniques are applied to the Wilkinson power divider, it operates in a larger frequency range and covers many communication bands. In this study, an ultra‐wideband (UWB) multisection Wilkinson power divider (WPD) circuit has been designed. Euler method has applied to the circuit that had equal power dividing feature on its two output ways. In the three‐section of the WPD, the Euler function has been modeled as a reflection coefficient on the output branches. The Euler polynomials have been used to calculate the characteristic impedance of each section. The isolation resistors have been calculated by odd‐even mode analysis according to the line impedances. In the Euler WPD, center frequency was 2.45 GHz and the limits for the return loss and isolation was selected as 15 dB and 20 dB, respectively. The bandwidth was measured as 0.75 to 3.80 GHz. The percent bandwidth of the WPD was calculated as 124.5%. Along the operation band interval, the minimum insertion loss measured lower than 0.75 dB. The design has been compared with a quarter wave (QW) WPD. It has been shown that the Euler method can achieve higher bandwidth, lower return loss and better Isolation than the conventional WPD.

中文翻译：

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基于欧拉多项式的超宽带多节威尔金森功率分配器的理论设计

当宽带阻抗匹配技术应用于威尔金森功率分配器时，它可以在更大的频率范围内工作，并覆盖许多通信频段。在这项研究中，设计了一种超宽带（UWB）多节威尔金森功率分配器（WPD）电路。欧拉方法已应用于在其两种输出方式上具有相等功率分配特性的电路。在WPD的三部分中，欧拉函数已建模为输出分支上的反射系数。欧拉多项式已用于计算每个部分的特征阻抗。隔离电阻是根据线路阻抗通过奇偶模式分析计算得出的。在Euler WPD中，中心频率为2.45 GHz，回波损耗和隔离度的极限分别选择为15 dB和20 dB。带宽测量为0.75至3.80 GHz。WPD的带宽百分比计算为124.5％。在工作频带间隔内，测得的最小插入损耗低于0.75 dB。该设计已与四分之一波（QW）WPD进行了比较。已经证明，与常规的WPD相比，欧拉方法可以实现更高的带宽，更低的回波损耗和更好的隔离度。