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A planar transformer circuit derived from a unified CPW mode is presented. The elements of the model are calculated directly from the equations for CPWs and the transformer geometries. The substrate eddy current losses and coupling with the transformer lines are modeled by RL network structures and mutual inductances. One turn planar transformers have been designed and fabricated on various resistivity...
In this paper, a unified equivalent circuit model is proposed for coplanar waveguides, which is physics-based, rather simple, and yet applicable to various resistivity substrates including very lossy substrates up to 110GHz. The unified model results are compared with Momentum simulations up to 110GHz on 8000 μ-cm, 15 μ-cm and 0.015 μ-cm silicon substrates. The unified model is also used to predict...
A novel equivalent circuit model for a spiral inductor is proposed based on a unified coplanar waveguide (CPW) transmission line model. The spiral inductor can be treated as a network of several individual conductor paths. The individual conductor loss is similar to the loss in CPWs, which can be explained by the unified model. The coil current of the inductor induces an eddy current in the silicon...
CPW lines on a 0.015 0-cm resistivity silicon substrate are simulated using HFSS. The electric field distribution from HFSS is analyzed to demonstrate that silicon substrate loss plays an important role and cannot be ignored. A novel physics-based model is developed to predict the characteristics of the CPWs and compared with measured data. A good agreement is obtained up to 110 GHz and demonstrates...
In this paper, coplanar waveguide (CPW) lines are measured up to 110 GHz to characterize 8000 Ω-cm, 15 Ω-cm and 0.015 Ω-cm silicon substrates. The characteristic impedance and attenuation constant for the three substrates are compared and analyzed. The effects of the conductor surface roughness are investigated. The attenuation as a function of high-low doping profile has been investigated for 8000...
In this paper, coplanar waveguide (CPW) transmission lines that require pads and transitions are fabricated on 8000 Ω-cm and 15 Ω-cm silicon substrates and measured up to 220 GHz using 50 µm pitch probes. Several de-embedding methods are applied to the raw measured data, and then compared with the simulated lines without the pads and transitions. The open-short de-embedding method loses its accuracy...
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