Admittances characterizing a partially filled rectangular waveguide with holes in its side face
DOI:
https://doi.org/10.3103/S0735272707070102Abstract
Admittances characterizing a partially filled rectangular waveguide with holes in its side face have been determined. Sections of such waveguides are elements of complex waveguide connections that are used to construct microwave digital telecommunications circuits built on rectangular waveguides partially filled with dielectric. Such admittances include transformation ratios that were determined in this study by two different techniques: by way of expanding the Mathieu functions into a series in terms of trigonometric functions and by way of expanding the Mathieu functions into a series in terms of Bessel functions. The results obtained in this study can be used in calculations of six-pole and eight-pole networks and can form the basis for engineering design of microwave channels built on such waveguides and designed for different radiophysical systems.References
B. M. Mashkovtsev, K. N. Tsibizov, and B. F. Emelin, Theory of Waveguides (Nauka, Moscow, 1966) [in Russian].
V. N. Pochernyaev and K. N. Tsibizov, Theory of Complex Waveguides (Naukovyi svit, Kiev, 2003) [in Russian].
N. V. Mac-Lakhlan, Theory and Applications of the Mathieu Functions (IL, Moscow, 1953) [in Russian].
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Nauka, Moscow, 1971) [in Russian].
V. N. Pochernyaev, “Integrals of Products of the Bessel Functions for Application Problems in Electrodynamics,” Ukrainskii Matematicheskii Zhurnal, No. 4, 566–570 (1995).
V. N. Pochernyaev, Devices on Waveguides Partially Filled with Dielectric (UkrNIIPSK, Kiev, 2000) [in Russian].
L. A. V’yushkova, “Investigation of Resonance Properties of Longitudinal Slot on a Wide Wall of the Square Waveguide with a Mode Covered by Dielectric Layer,” Antenny, No. 19, 118–126 (1974).
