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A theoretical design of ultra‐wideband multisection Wilkinson power divider using Euler polynomials

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.