volume | PIER Journals

Abstract

A problem of electromagnetic waves radiation diffracted at a narrow rectilinear arbitrarily oriented slot cut in an end wall of a semi-infinite rectangular waveguide is solved by an asymptotic averaging method. The slot radiates into a half-space over an infinite perfectly conducting plane. An influence of slot inclination angle upon energy and spatial characteristics is numerically studied. Theoretical results are compared with experimental data. A numerical-analytical problem of a narrow rectilinear slot radiating into the space above an infinite impedance plane is also presented. The asymptotic solution for the slot magnetic current was obtained by a generalized method of induced magnetomotive forces (MMF) by using Green's functions of a space above the impedance plane. The effect of the plane with impedance coating on the slot is reduced taking into account an additional term to the slot external conductivity, for which the expressions were obtained in an analytical form.

1. Schaik, H. J., "The performance of an iris-loaded planar phased-array antenna of rectangular waveguides with an external dielectric sheet," IEEE Trans. Antennas Propag., Vol. 26, 413-419, 1978.
doi:10.1109/TAP.1978.1141860 Google Scholar

2. Harrington, R. F. and J. R. Mautz, "Computational methods for transmission of waves," Electromagnetic Scattering, Uslenghi P. L. E. (ed.), 429-470, Academic Press, NY, 1978.
doi:10.1016/B978-0-12-709650-6.50016-X Google Scholar

3. Nesterenko, M. V. and Yu. M. Penkin, "Diffraction radiation from a slot in the impedance end of a semi-infinite rectangular waveguide," Radiophysics and Quantum Electronics, Vol. 47, 489-499, 2004.
doi:10.1023/B:RAQE.0000047240.37895.ea Google Scholar

4. Das, B. N., A. Chakraborty, and N. V. S. Narasimna Sarma, "S matrix of slot-coupled H-plane Tee junction using rectangular waveguides," IEEE Trans. Microwave Theory Tech., Vol. 38, 779-781, 1990.
doi:10.1109/22.130974 Google Scholar

5. Abdelmonem, A., H.-W. Yao, and K. A. Zaki, "Slit coupled E-plane rectangular T-junctions using single port mode matching technique," IEEE Trans. Microwave Theory Tech., Vol. 42, 903-907, 1994.
doi:10.1109/22.293548 Google Scholar

6. Berdnik, S. L., V. A. Katrich, M. V. Nesterenko, and Yu. M. Penkin, "Waveguide T-junctions with resonant coupling between sections of different dimensions," International Journal of Microwave and Wireless Technologies, Vol. 9, 1059-1065, 2017.
doi:10.1017/S175907871600129X Google Scholar

7. Berdnik, S. L., V. A. Katrich, M. V. Nesterenko, Yu. M. Penkin, and O. M. Dumin, "Yagi-Uda combined radiating structures of centimeter and millimeter wave bands," Progress In Electromagnetics Research M, Vol. 93, 89-97, 2020.
doi:10.2528/PIERM20041506 Google Scholar

8. Mazzarella, G. and G. Montisci, "Accurate modeling of coupling junctions in dielectric covered waveguide slot arrays," Progress In Electromagnetics Research M, Vol. 17, 59-71, 2011.
doi:10.2528/PIERM10122804 Google Scholar

9. Montesions-Ortego, I., M. Sierra-Perez, M. Zhang, J. Hirokawa, and M. Ando, "Mutual coupling in longitudinal arrays of compound slots," Progress In Electromagnetics Research B, Vol. 46, 59-78, 2013.
doi:10.2528/PIERB12100803 Google Scholar

10. Camacho, M., R. R. Boix, F. Medina, A. P. Hibbings, and J. R. Sambles, "Extraordinary transmission and radiation from finite by infinite arrays of slots," IEEE Trans. Antennas Propag., Vol. 68, 581-586, 2020.
doi:10.1109/TAP.2019.2935819 Google Scholar

11. Yang, R. and A. S. Omar, "Analysis of thin inclined rectangular aperture with arbitrary location in rectangular waveguide," IEEE Trans. Microwave Theory Tech., Vol. 41, 1461-1463, 1993.
doi:10.1109/22.241690 Google Scholar

12. Rud, L. A., "Axially rotated step junction of rectangular waveguides and resonant diaphragms based thereupon," Telecommunications and Radio Engineering, Vol. 55, 17-26, 2001.
doi:10.1615/TelecomRadEng.v55.i9.30 Google Scholar

13. Nesterenko, M. and V. Katrich, "The asymptotic solution of an integral equation for magnetic current in a problem of waveguides coupling through narrow slots," Progress In Electromagnetics Research, Vol. 57, 101-129, 2006.
doi:10.2528/PIER05060902 Google Scholar

14. Warne, L. K., "Eddy current power dissipation at sharp corners: closely spaced rectangular conductors," Journal of Electromagnetic Waves and Applications, Vol. 9, 1441-1458, 1995.
doi:10.1163/156939395X00154 Google Scholar

15. Lagarkov, A. N., V. N. Semenenko, A. A. Basharin, and N. P. Balabukha, "Abnormal radiation pattern of metamaterial waveguide," PIERS Online, Vol. 4, 641-644, 2008.
doi:10.2529/PIERS071220103345 Google Scholar

16. Koshkid’ko, V. G. and O. V. Alpatova, "The equivalent surface impedance slit impedance of the load based on the holes in the screen. The case of E-polarization," Technology and Electronics, Vol. 48, 57-63, 2003. Google Scholar

17. Tretyakov, S., Analytical Modeling in Applied Electromagnetics, Artech House, NY, 2003.

18. Nesterenko, M. V., V. A. Katrich, Yu. M. Penkin, S. L. Berdnik, and O. M. Dumin, Combined Vibrator-slot Structures: Theory and Applications, Springer Nature Swizerland AG, Cham, Swizerland, 2020.

19. Nesterenko, M. V., V. A. Katrich, Yu. M. Penkin, and S. L. Berdnik, Analytical and Hybrid Methods in Theory of Slot-hole Coupling of Electrodynamic Volumes, Springer Science+Business Media, NY, 2008.
doi:10.1007/978-0-387-76362-0

20. Yoshitomi, K., "Equivalent currents for an aperture in an impedance surface," IEEE Trans. Antennas Propag., Vol. 42, 1554-1556, 1994.
doi:10.1109/8.362780 Google Scholar

21. Yoshitomi, K., "Radiation from a slot in an impedance surface," IEEE Trans. Antennas Propag., Vol. 49, 1370-1376, 2001.
doi:10.1109/8.954925 Google Scholar

Dr. Mikhail Nesterenko

Dr. Viktor A. Katrich

Dr. Victor I. Kijko

Dr. Svetlana V. Pshenichnaya