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2016-07-07
Coupling of Two Rectangular Waveguides through a Diaphragm with a Dielectric Slab in the Slot
By
Progress In Electromagnetics Research M, Vol. 49, 9-19, 2016
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.
Citation
Ludmila P. Yatsuk, Anatoly F. Lyakhovsky, Victor A. Katrich, and Andrey A. Lyakhovsky, "Coupling of Two Rectangular Waveguides through a Diaphragm with a Dielectric Slab in the Slot," Progress In Electromagnetics Research M, Vol. 49, 9-19, 2016.
doi:10.2528/PIERM16042401
References

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

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

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.

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

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

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

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).

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.

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.

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

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).

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

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.

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.

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.

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).

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).

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.

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.

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.

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

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).

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

26. Feld, Y. N. and L. S. Benenson, Fundamentals of Antenna Theory, Textbook for High Schools, Drofa, Moskow, 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.

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.

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.

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.