Abstract
A generalized design technique of ultra-wideband planar transitions using EM-based analytical models is presented in this paper. Among various planar transmission lines, each transmission line has unique advantages over other line types, and a microwave component in a system can be designed to perform much better if it is implemented on a certain type of transmission line. Therefore, low-loss and high-performance transitions between transmission lines, with easy integrability with the main circuit board, are needed. The proposed transition design technique uses the Schwarz-Christoffel transformation, which is one of conformal mapping methods, and can be applied to design any planar transition between a pair combination of planar transmission lines based on TEM or quasi-TEM waves. To optimally match the characteristic line impedance and smoothly transform the electromagnetic field distribution between the planar transmission lines, entire cross-sections through the planar transition should be analyzed with proper models. In this paper, the cross-sections of planar transitions are categorized into 4 cross-sectional models, where each cross-section is divided into multiple regions for the analysis to obtain line capacitance. Therefore, for the 4 cross-sectional models, 7 types of basis structures are identified to obtain their capacitances by applying conformal mapping. By adding capacitances of a combination of the 7 analysis types, the total line capacitance, thus the characteristic line impedance, of any cross-sectional model of the planar transition can be obtained. The characteristic line impedance of each cross-sectional model calculated with the proposed analytical formulas is compared with the 3D EM calculations, and it is found that the deviated values are mostly well under 6%. This proposed technique enables to design various planar transitions efficiently and quickly for the maximum performance without parameter tuning trials, by providing optimal impedance matching and smooth field transformation up to mm-wave frequencies.
Highlights
In order to support ever-increasing high-speed digital data transmission for the 5th generation mobile communications, microwave and mm-wave components with high performance and wide frequency bandwidth willThe associate editor coordinating the review of this manuscript and approving it for publication was Fulvio Schettino .become more important
CALCULATION OF LINE CAPACITANCE Each cross-sectional model of a planar transition is divided into multiple analysis regions so that the conformal mapping (Schwarz-Christoffel transformation) can be applied to determine characteristic line impedance
The proposed design technique is based on the conformal mapping method, and analytical design formulas for the crosssectional areas throughout the transition are used to form high-performing planar transitions
Summary
In order to support ever-increasing high-speed digital data transmission for the 5th (and beyond 5th) generation mobile communications, microwave and mm-wave components with high performance and wide frequency bandwidth will. B. CALCULATION OF LINE CAPACITANCE Each cross-sectional model of a planar transition is divided into multiple analysis regions (typically 3∼4 regions) so that the conformal mapping (Schwarz-Christoffel transformation) can be applied to determine characteristic line impedance. CALCULATION OF LINE CAPACITANCE Each cross-sectional model of a planar transition is divided into multiple analysis regions (typically 3∼4 regions) so that the conformal mapping (Schwarz-Christoffel transformation) can be applied to determine characteristic line impedance The line capacitance C7 of Type 7 is calculated by (23) with the modulus k7 and the complementary modulus k7 in (24)
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