Calculation of a non-reflective connection in a coaxial line

The calculation of the non-reflective connection in the coaxial line is performed by the integral equation method. The connection of coaxial lines with a significant difference in geometric dimensions is considered. A system of equations is obtained that allows calculating the reflection coefficient of the T-wave from such an inhomogeneity. This technique makes it possible to calculate a multistage coaxial waveguide in order to minimize the reflection coefficient from inhomogeneities.

Analytical Dispersion Equations of a Lossy Coaxial Waveguide in the Microwave and Visible Spectra

Analytical hybrid-mode dispersion relations of a lossy coaxial waveguide were rigorously analyzed using a mode-matching technique. In order to model a practical coaxial line with inevitable losses, we adopted an all-dielectric coaxial waveguide surrounded by the perfect electric conductor (PEC) boundary. The rigorous dispersion characteristics of the TM₀₁, TE₀₁, and EH₁₁ modes were investigated for lossy coaxial waveguides filled with different electrical conductivities. Based on the exact solutions, approximate but accurate dispersion equations were proposed for the TM_0<i>p</i>, TE_0<i>p</i> , EH_<i>mp</i>, and HE_<i>mp</i> modes in order to estimate and compare the behaviors of complex propagation constants in the microwave and visible spectra.

Application of the method of integral equation for calculating a step-transition in a coaxial waveguide

The stepwise transition in the coaxial waveguide is calculated by the integral equation method. To solve the problem, the entire region of field definition is conditionally divided into three partial areas for which the field components are recorded. A system of equations is obtained that allows one to calculate the reflection coefficient of a T-wave from this homogeneity. The geometric dimensions of the waveguide, which provide the minimum value of the reflection coefficient, are given.