volume | PIER Journals

Abstract

A scattering problem for two semi-infinite rectangular waveguides coupling through a narrow slot cut in the common end wall of the two waveguides is solved. The slot is partially filled with a dissipative or perfect dielectric insert. A mathematical model based on continuity of tangential components of magnetic field vectors on both surfaces of the diaphragm in the coupling waveguides is proposed. The magnetic field in the slot is represented by a set of slot eigenwaves. The electrical field distribution function is used as a basis function in the Galerkin's procedure allowing to find unknown amplitude coefficients. Simulation and experimental measurement have been carried out. Dependences of scattering parameters upon the wavelength were studied for various geometric parameters, insert position in the slot, and insert material permittivity and losses. A good agreement between simulation results and experimental data is obtained. It was shown that an estimate of the insert permittivity and losses can be done for unknown materials using experimental and simulated data.

1. Pocklington, H. C., "Electrical oscillations in wires," Proc. Cambr. Phil. Soc., Vol. 9, No. 7, 324-332, 1897. Google Scholar

2. Hallen, E., "Theoretical investigation into transmitting and receiving antennas," Nova Acta (Ups.), Vol. 11, No. 1, 1-44, Ser. 4, 1938. Google Scholar

3. Leontovich, M. A. and M. L. Levin, "Theory of oscillations in dipole antennas," Journal of Technical Physics, Vol. 14, No. 9, 481-506, 1944. Google Scholar

4. Watson, W. H., "Resonant slots," Journal of IEEE, Vol. 93, 747-777, Part A, 1946. Google Scholar

5. Feld, Y. N., Fundamentals of the Theory of Slot Antennas, Sov. Radio, 1948 (in Russian).

6. Stevenson, A. F., "Theory of slots in rectangular waveguides," Journal of Applied Physics, Vol. 19, 24-38, 1948. Google Scholar

7. Dmitriev, V. I. and E. V. Zakharov, "Numerical solution of some Fredholm integral equations of the first kind," Computational Methods and Programming, Vol. 20, 49-54, Moskow State Univers., 1968 (in Russian). Google Scholar

8. Lerer, A. M. and A. G. Schuchinsky, "Full-wave analysis of three-dimensional planar structures," IEEE Transactions on Microwave Theory and Techniques, Vol. 41, 2002-2015, 1993. Google Scholar

9. Lerer, A., I. Donets, and S. Bryzgalo, "The semi-inversion method for cylindrical microwave structures," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 6, 765-790, 1996. Google Scholar

10. Eminov, S. I., "Theory of integral equation of thin dipole," Technology and Electronics, Vol. 38, No. 12, 2160-2168, 1993 (in Russian). Google Scholar

11. Plotnikov, V. N., Y. Y. Radtsig, and S. I. Eminov, "Theory of integral equation of narrow rectangular slot," Computational Mathematics and Mathematical Physics, Vol. 34, No. 1, 68-77, 1994 (in Russian). Google Scholar

12. Kravchenko, V. F., O. S. Labunko, A. M. Lerer, and G. P. Sinyavsky, Computing Methods in the Modern Radiophysics, Fizmatlit, 2009 (in Russian).

13. Nesterenko, M. V., V. A. Katrich, Y. M. Penkin, and S. L. Berdnik, "Analytical methods in theory of slot-hole coupling of electrodynamics volumes," Progress In Electromagnetics Research B, Vol. 70, 80-174, 2007. Google Scholar

14. Garb, H. L., I. B. Levinson, and P. S. Fredberg, "Effect of wall thickness in slot problems of electrodynamics," Radio Eng. Electron. Phys., Vol. 13, 1888-1896, 1968. Google Scholar

15. Panchenko, B. A., "Electromagnetic wave diffraction by a plane screen of finite thickness with regularly placed openings," Technology and Electronics, Vol. 12, 719-722, 1967. Google Scholar

16. Khac, T. V. and C. T. Carson, "Coupling by slots in rectangular waveguides with arbitrary wall thickness," Electronics Letters, Vol. 8, 456-458, 1972. Google Scholar

17. Yatsuk, L. P. and V. A. Katrich, "Slot coupling elements with partially dielectric filling," Izv. Vuzov. Radioelectronics, Vol. 22, No. 2, 60-65, 1979 (in Russian). Google Scholar

18. Klimenko, V. A., "Resonance diaphragm of finite thickness partially filled with dielectric in a rectangular waveguide," Technology and Electronics, Vol. 3, 499-507, 1980 (in Russian). Google Scholar

19. Jia, H., K. Yoshitomi, and K. Yasumoto, "Rigorous and fast convergent analysis of a rectangular waveguide coupler slotted in common wall," Progress In Electromagnetics Research B, Vol. 46, 245-264, 2004. Google Scholar

20. Katrich, V. A., M. V. Nesterenko, and N. A. Khiznyak, "Asymptotic solution of integral equation for magnetic current in slot radiators and coupling apertures," Telecommunication and Radio Engineering, Vol. 63, 89-107, 2005. Google Scholar

21. Yatsuk, L. P., A. V. Podcheko, and V. V. Reimer, "Waveguides wave scattering by narrow slots with stratified dielectric," URSI Proc. International Symposium on Electromagnetic Theory, 39-41, St. Petersburg, 1995. Google Scholar

22. Morse, Ph. M. and H. Feshbach, Methods of Theoretical Physics, Part II, McGraw Hill Book Company, Inc., 1953.

23. Markov, G. T. and B. A. Panchenko, "Tensor Green’s functions of rectangular waveguides and resonators," Izv. VUZ’ov. Radiotekhnika, Vol. 7, No. 1, 34-41, 1964. Google Scholar

24. Panchenko, B. A., "Tensor Green’s functions of Maxwell equations for the cylindrical domains," Radiotekhnika: Coll. Sci. Proceedings, No. 15, 82-91, Kharkov, 1970 (in Russian). Google Scholar

25. Feld, Y. N. and L. S. Benenson, Antenna-Fider Devices, N. E. Zhukovsky Air Forces Academy, 1959 (in Russian).

26. Feld, Y. N. and L. S. Benenson, Fundamentals of Antenna Theory, Textbook for High Schools, Drofa, 2007 (in Russian).

27. Yatsuk, L. P., "Development of the Fel’d’s concepts on the slotted waveguide devices in the works of researchers from the Karazin National University," Journal of Communications Technology and Electronics, Vol. 57, 964-971, 2012, ISSN 106412269. Google Scholar

28. Schuchinsky, A. G., D. E. Zelenchuk, A. M. Lerer, and R. Dickie, "Full-wave analysis of layered aperture arrays," IEEE Transactions on Antennas and Propagations, Vol. 54, 490-502, 2006. Google Scholar

29. Zemlyakov, V. V., G. F. Zargano, and S. V. Krutiev, "Waveguide bandpass filter on complex resonance diaphragms," Journal of Communications Technology and Electronics, Vol. 60, 1305-1310, 2015. Google Scholar

30. Zemlyakov, V. V. and G. F Zargano, "Electrodynamic analysis of conductivity of a resonance waveguide plane-transverse diaphragm with a complex aperture," Radiophysics and Quantum Electronics, Vol. 58, 504-510, 2015. Google Scholar

Dr. Ludmila P. Yatsuk

Dr. Anatoly F. Lyakhovsky

Dr. Victor A. Katrich

Dr. Andrey A. Lyakhovsky