Regarding the capacitive nature of input/output impedances of millimeter-wave amplifiers, it is necessary to utilize wideband inductive elements for the design of input/output impedance matching circuits. In this paper, the design and optimization of an ultra-wideband transmission line inductor with an inductance of less than 100 pH are introduced for using at frequencies above 50 GHz. The reason of using this inductor is its superior performance compared to that of a spiral inductor and single-coil inductor. The inductor consists of three rectangular microstrip line segments with nonequal and variable characteristic impedances. The design is done by calculating the impedance matrix using planar circuit analysis (PCA) based on a planar waveguide model, segmentation/desegmentation methods, and an intelligent algorithm in MATLAB. With this design method, the effect of discontinuities, fringing fields at the edges of the microstrip, and the conductor as well as dielectric losses can be considered while minimizing the dispersion effect. In this study, to reduce the calculation time of the impedance matrix, the doubly infinite series are reduced to a singly infinite series by summing the inner sum for a rectangular segment whose one side is shorted and three other sides are open.

中文翻译：

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使用传输线段的超宽带毫米波电感器平面电路分析

针对毫米波放大器输入输出阻抗的容性特性，设计输入输出阻抗匹配电路时需要使用宽带电感元件。在本文中，介绍了一种电感小于 100 pH 的超宽带传输线电感器的设计和优化，用于在 50 GHz 以上的频率下使用。使用这种电感器的原因是其性能优于螺旋电感器和单线圈电感器。电感器由三个具有不等和可变特性阻抗的矩形微带线段组成。该设计是通过使用基于平面波导模型、分段/去分段方法和 MATLAB 智能算法的平面电路分析 (PCA) 计算阻抗矩阵来完成的。使用这种设计方法，可以在最小化色散效应的同时考虑不连续性、微带边缘的边缘场、导体和介电损耗的影响。在本研究中，为了减少阻抗矩阵的计算时间，通过对一侧短路而其他三侧开路的矩形段的内部和求和，将双无穷级数简化为单无穷级数。