We develop the mathematical model of shielded coupled microstrip lines on the basis of a numericalanalytical method for calculating eigenwaves of strip structures, which was earlier proposed by the author. This model allows one to solve the problems of both analysis and synthesis of such lines with high speed and accuracy. The dependence of the main electrodynamic parameters of such lines on the shield sizes is studied. The possibility to equalize the slowing factors of the inphase and antiphase waves is confirmed in a wide range of variations in the physical and geometrical parameters of the lines. The results of calculating the line sizes, which are determined on the basis of solving synthesis problems under the condition of equality of the slowing factors, are presented.
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