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Wideband Conductor Loss Analysis for Transmission Line with Arbitrary Cross-section and Periodic Surface Roughness
Keywords: Conductor loss, Compact 2D-FDTD, Metal surface roughness
The analysis of conductor loss for a transmission line with arbitrary cross-section and periodic surface roughness along the propagation direction is presented in this paper. The frequency dependent skin-effect and proximity are both considered in the analysis. The per-unit-length impedance is extracted by assuming smooth metal surface. Modified surface impedance account for the periodic metal surface roughness is then incorporated for high-frequency correction. The first step is to extract a series per-unit-length impedance as a function of frequency without considering the skin-depth and current crowding effect. The compact 2D-FDTD solver is used to model the entire cross-sectional geometry (possibly inhomogeneous) assuming metals are perfect electric conductor. To analyze the skin-depth as well as the current crowding effect, the obtained electromagnetic field distribution on the surface is then used as the boundary condition to analyze the current distribution inside the conductor; the conductor-only model is built in the 2D-FDTD solver with finer meshes to capture the current redistribution as a result of finite conductivity. The equivalent surface impedance of the conductor is therefore obtained with a scale factor extracted as a function of the location on the circumference of the conductor. Upon the series per-unit-length impedance is solved, the fine features of the metal surface roughness are modeled as periodic protrusions. The active reflect coefficient is calculated to obtain the surface impedance for the rough metal, served as the normalized value in the scaled surface impedance function.
Xichen Guo,
University of Houston
Houston, TX

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