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.