Radiotekhnika
Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS


Тел.: +7 (495) 625-9241

 

Quasi-analytical calculation of electrodynamic parameters of (regular) equilateral hexagonal waveguide

Keywords:

A.A. Skvortsov – Ph. D. (Eng.), Associate Professor, Department «Electronics and telecommunications», Yuri Gagarin State Technical University of Saratov
E-mail: sotrudniki.1@yandex.ru


Now, engineers-developers of microwave devices of different use, which provide summation of powers from several microwave sources, devote more and more attention to hexagonal waveguide. The important electrodynamic problem that arises during the de-velopment of microwave devices based on hexagonal waveguide sections is to determine the cutoff wavelength of the dominant mode of the structure under analysis. Besides, as a rule, such systems operate in the one-mode regime. Due to this fact, significant practical interest is to evaluate the cutoff wavelength of the first high order mode in hexagonal waveguide. This is necessary to calculate the broadbandness coefficient of the transmission line of the considered cross-section. Another important electrodynamic parameter of hexagonal waveguide is its impedance. To know it is useful when solving the problems of matching microwave channels, analyzing reflections from nonuniformities, calculating the transmission coefficients of stub branching of microwave devices, etc.
The analysis of the fields structures of the dominant mode and the first high order mode in the considered transmission lines show their similarity with the field structures of the dominant mode and the first high order mode of the round waveguide. The considered model allows us to receive the expressions for determining the cutoff wavelengths of dominant and the first high order modes, as well as broadbandness coefficient and impedance of equilateral hexagonal waveguide using the known expressions for determining the correspondent electrodynamic parameters of round waveguide. Using the received expressions, quasi-analytical calculation of electrodynamic parameters of equilateral hexagonal waveguide was performed for different values of geometrical dimensions and electro-physical parameters of uniform dielectric filling. To verify the validity of the results received in the present work with the ap-plication of the considered in this paper quasi-analytical method, their comparison with the calculation data received by the method of finite elements was carried out. This comparison show a good agreement between the calculation results received with the use of the quasi-analytical method and the finite element method. Thus, the researches performed in this work allow me to propose the enough correct method of quasi-analytical calculation of cutoff wavelengths of dominant and the first high order modes, broadbandness coefficient, and impedance of equilateral hexagonal waveguide with uniform dielectric filling. It can be useful for the development of microwave devices of different use, which are implemented on the sections of the considered transmission line.
In addition, it is necessary to note that the received expressions can be later on adapted for quasi-analytical calculation of the impedance of equilateral hexagonal waveguide with partial dielectric filling.

References:
  1. Il'in V.S., Il'in S.N., Usanov D.A. Ortogonal'no-turniketnoe sochlenenie trex kvadratny'x volnovodov s shestigranny'm volnovodom i ego osnovny'e svojstva // Radiotexnika i e'lektronika. 1997. T. 42. № 2. S. 135−141.
  2. Sosunov V.A., Belyaev V.I. Kamera begushhej volny' na shestigrannom volnovode // Materialy' Povolzhskoj nauch.-texn. konf. «E'lektrotexnologiya na rubezhe vekov». Saratov: SGTU. 2001. S. 33.
  3. Skvorczov A.A. SVCh-ustrojstvo na svyazanny'x pryamougol'ny'x i shestigrannom volnovodax dlya termoobrabotki die'lektricheskix materialov // Vestnik SGTU. 2006. № 1. S. 144−148.
  4. Grigor'ev A.D. E'lektrodinamika i mikrovolnovaya texnika. SPb: Lan'. 2007. 704 s.
  5. Sosunov V.A., Skvorczov A.A. Raschet kriticheskoj dliny' volny' dominantnogo tipa kolebanij shestigrannogo volnovoda // Materialy' Mezhdunar. nauch.-texn. konf. «Aktual'ny'e problemy' e'lektronnogo priborostroeniya (APE'P-2002)». Saratov: SGTU. 2002. S. 201−202.
  6. Skvorczov A.A. Kvazianaliticheskij raschet kriticheskoj dliny' pervoj vy'sshej volny' shestigrannogo volnovoda // Sb. trudov III Mezhdunar. nauch. konf. «Problemy' upravleniya, obrabotki i peredachi informaczii». Saratov: Izdatel'skij dom «Rajt-E'kspo». 2013. T. 1. S. 293−295.
  7. Skvorczov A.A., Solov'ev M.A., Torgashov E.A. Kvazianaliticheskie vy'razheniya dlya rascheta koe'fficzienta shirokopolosnosti shestigrannogo volnovoda // Sb. trudov XXVII Mezhdunar. nauch. konf. «Matematicheskie metody' v texnike i texnologiyax». Tambov: Tambovskij gosudarstvenny'j texn. un-t. 2014. T. 8. S. 139−141.
  8. Skvorczov A.A., Miroshnichenko V.A. Kvazianaliticheskij raschet volnovogo soprotivleniya shestigrannogo volnovoda // Materialy' Mezhdunar. nauch.-texn. konf. «Aktual'ny'e problemy' e'lektronnogo priborostroeniya (APE'P-2016)». Saratov: SGTU. 2016. T. 1. S. 331−334.
  9. Efimov I.E., Shermina G.A. Volnovodny'e linii peredachi. M.: Svyaz'. 1979. 232 s.
  10. Pchel'nikov Yu.N. Opredelenie e'kvivalentny'x parametrov volnovodov kruglogo i pryamougol'nogo secheniya // Radiotexnika i e'lektronika. 2010. T. 55. № 1. S. 113−119.

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio