volume | PIER Journals

Abstract

Based on the asymptotic method of averaging, an approximate analytical solution of the integral equation concerning a magnetic current in slot-hole coupling apertures of electrodynamic volumes, which differ profitably from the known ones in literature, has been obtained. The formulas for the currents and characteristics scattering of transverse and longitudinal slots in common broad and narrow walls of rectangular waveguides are given. The comparison to results obtained by other methods and experimental data has been done.

1. Bethe, H. A., "Theory of diffraction by small holes," Phys. Rev., Vol. 66, 163-182, 1944.
doi:10.1103/PhysRev.66.163

2. Stevenson, A. F., "Theory of slots in rectangular wave-guides," J. Appl. Phys., Vol. 19, 24-38, 1948.
doi:10.1063/1.1697868

3. Lewin, L., "Some observations on waveguide coupling through medium sized slots," Proc. Inst. Elec. Eng., Vol. 107C, 171-178, 1960.

4. Sangster, A. J., "Variational method for the analysis of waveguide coupling," Proc. Inst. Elec. Eng., Vol. 112, 2171-2179, 1965.

5. Levinson, I. B. and P. Sh. Fredberg, "Slot couplers of rectangular one mode waveguide equivalent circuits and lumped parameters," Radio Eng. and Electron. Phys., Vol. 11, 717-724, 1966.

6. Khac, T. Vu., "Solutions for some waveguide discontinuities by the method of moments," IEEE Trans. Microwave Theory and Tech., Vol. MTT-20, 416-418, 1972.

7. Rengara jan, S. R., "Analysis of a centered-inclined waveguide slot coupler," IEEE Trans. Microwave Theory and Tech., Vol. MTT- 37, 884-889, 1989.
doi:10.1109/22.17455

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

9. Pandharipande, V. M. and B. N. Das, "Coupling of waveguides through large apertures," IEEE Trans. Microwave Theory and Tech., Vol. MTT-26, 209-212, 1978.
doi:10.1109/TMTT.1978.1129346

10. Pandharipande, V. M. and B. N. Das, "Equivalent circuit of a narrow-wall waveguide slot coupler," IEEE Trans. Microwave Theory and Tech., Vol. MTT-27, 800-804, 1979.
doi:10.1109/TMTT.1979.1129734

11. Sangster, A. J. and H. Wang, "A hybrid analytical technique for radiating slots in waveguide," Journal of Electromagnetic Waves and Applications, Vol. 9, 735-755, 1995.

12. Katrich, V. A., M. V. Nesterenko, and N. A. Khizhnyak, "Comparative analysis of analytical methods of solving the integral equatios for magnetic current in slot radiators," Zarubezhnaya Radioelectronika, No. 12, 15-25, 2002.

13. Khizhnyak, N. A., Integral Equations of Macroscopical Electrodynamics, Naukova dumka, 1986.

14. Butler, C. M. and K. R. Umashankar, "Electromagnetic excitation of a wire through an aperture-perforated conducting screen," IEEE Trans. Antennas and Propagat., Vol. AP-24, 456-462, 1976.
doi:10.1109/TAP.1976.1141374

15. King, R. W. P., The Theory of Linear Antennas, Harv. Univ. Press, 1956.

16. Naiheng, Y. and R. Harrington, "Electromagnetic coupling to an infinite wire through a slot in a conducting plane," IEEE Trans. Antennas and Propagat., Vol. AP-31, 310-316, 1983.
doi:10.1109/TAP.1983.1143025

17. Korn, G. A. and T. M. Korn, Mathematical Handbook, McGraw- Hill Book Company, 1968.

18. Bogolubov, N. N. and U. A. Mitropolsky, Asymptotic Methods in the Theory Nonlinear Fluctuations, Nauka, 1974.

19. Philatov, A. N., "Asymptotic methods in the theory of differential and integral-differential equations," PHAN, 1974.

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

21. 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.

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

23. Katrich, V. A., M. V. Nesterenko, L. P. Yatsuk, and S. L. Berdnik, "The method of induced magnetomotive forces for electrically long slots in waveguide walls," Radioelectronics and Communications Systems, Vol. 45, No. 12, 9-14, 2002.

24. Katrich, V. A., M. V. Nesterenko, and L. P. Yatsuk, "Induced magnetomotive forces method for the analysis of radiating and coupling slots in waveguides," Proceedings of 2003 IEEE AP-S International Symposium, Vol. 4, 111-114, 2003.

25. Whetten, F. L. and C. A. Balanis, "Meandering long slot leaky-wave waveguide antennas," IEEE Trans. Antennas and Propagat., Vol. AP-39, 1553-1560, 1991.
doi:10.1109/8.102768

26. Plotnikov, V. N., Yu. Radcig, and S. I. Eminov, "Theory of the integral equation of a narrow linear slot," Journal Comp. Math. and Math. Phys., Vol. 34, 68-77, 1994.

27. 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, Vol. 46, 245-264, 2004.
doi:10.2528/PIER03100102

28. Josefsson, L. G., "Analysis of longitudinal slots in rectangular waveguides," IEEE Trans. Antennas and Propagat., Vol. AP-35, 1351-1357, 1987.
doi:10.1109/TAP.1987.1144042

29. Katrich, V. A., V. A. Lyaschenko, and N. A. Poluyanenko, "Slot waveguide radiators of leaky-wave," Zarubzhnaya Radioelectronika, No. 6, 72-79, 2001.

30. Mittra, R. (ed.), Computer Techniques for Electromagnetics, Pergamon Press, 1973.

Dr. Mikhail Nesterenko

Dr. V. Katrich