METHOD OF STRIP LINES’ TE MODES CHARACTERISTICS CALCULATION

Abstract

The paper is devoted to the calculation of the electromagnetic field in a stripline based transmission line for the TE-modes. TE-mode is one of the closest to the main mode, especially at the high frequencies, and should be considered in the multiple-mode resonators. Moreover, TE-mode is the main mode in the slotline at ane frequency. The method of solving the electromagnetic field problem of computing the characteristics of TE-modes of the slotlines is proposed. The proposed method is based on a rigorous electrodynamic approach and has no restrictions on the geometric and electrophysical parameters of the lines. The problem is reduced to the eigenvalues and eigenvectors problem, which is solved by the 2D finite element method applied to the cross-section of the line. The resulting solutions provide the possibility of obtaining the distribution of the component of the electromagnetic field and calculate the integral characteristics of the stripline, such as effective dielectric permittivity, which defines wavelength in the line, and characteristic impedance, which describes the relation between current and voltage in the equivalent transmission line. The distribution of the electric field components in the slotline is shown. The results of the effective dielectric permittivity and characteristic impedance calculation for the slotline with various geometrical and electrophysical parameters at different operating frequencies are presented. The obtained values of the effective parameters are in good agreement with other known calculated and measured results. The proposed method can be applied to any structures of strip lines in an arbitrary medium with any dielectric or metal objects placed near the line. Thus, such a method is suitable for the analysis and design of micro mechanically tunable devices as well.