In this article, a novel design methodology of a half-mode substrate integrated waveguide (HM-SIW) filtering Wilkinson power divider is proposed. The width between the two metallic rows of vias in the conventional HM-SIW divider is governed by a truncated Fourier series expansion to obtain specific passband/stopband performance. The optimized varying width is obtained using the even-mode analysis, whereas the odd-mode analysis is used to find the optimum values of three isolation resistors that achieve acceptable isolation and output ports matching over specific frequency range. For validation, a HM-SIW divider with a center frequency of 12.3 GHz and 3.7% 10-dB fractional bandwidth is designed, simulated, and measured. Simulated and measured results show a good agreement with passband return loss and transmission losses better than −15 and −3.0 dB, respectively.

中文翻译：

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一种带傅立叶变化通孔的半模基片集成波导滤波功分器

在本文中，提出了一种新的半模衬底集成波导 (HM-SIW) 滤波威尔金森功率分配器的设计方法。传统 HM-SIW 分频器中两排金属通孔之间的宽度由截断的傅立叶级数展开控制，以获得特定的通带/阻带性能。优化的变化宽度是使用偶模分析获得的，而奇模分析用于找到三个隔离电阻器的最佳值，以在特定频率范围内实现可接受的隔离和输出端口匹配。为了进行验证，设计、模拟和测量了一个中心频率为 12.3 GHz 和 3.7% 10-dB 分数带宽的 HM-SIW 分频器。仿真和测量结果表明，通带回波损耗和传输损耗的一致性好于 -15 和 -3.0 dB，