volume | PIER Journals

Abstract

The approximate analytical solution of the integral equation concerning the equivalent magnetic current in the narrow slot, coupling two electrodynamic volumes, has been obtained by the averaging method. The formulas and the plots for currents and the coupling coefficients of longitudinal and transverse slots in the common walls of rectangular waveguides are represented. By means of the induced magnetomotive forces method using basis functions of current distribution, obtained by the averaging method, the following electrodynamic structures have been considered: the electrically long longitudinal slot in the common broad wall of rectangular waveguides; two symmetrical transverse slots in the common broad wall of rectangular waveguides; the transverse slots system in the common broad wall of rectangular waveguides. The problem about the resonant iris with the arbitrary oriented slot in the plane of cross-section of a rectangular waveguide has been solved by the averaging method. The problem about stepped junction of two semi-infinite rectangular waveguides with the impedance slotted iris has been solved by the induced magnetomotive forces method. The analytical formulas for the distributed surface impedance of homogeneous and inhomogeneous magnetodielectric coatings of iris surface have been obtained. For a greater number of the considered electrodynamic structures the calculated values are compared with the results, obtained by numerical methods (also using commercial programs) and the experimental data.

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

7. Rengarajan, 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. Yang, D., C. Liao, and W. Chen, "Numerical solution on coupling of UWB pulse into a rectangular cavity through slots," Journal of Electromagnetic Waves and Applications, Vol. 19, 1629-1638, 2005.
doi:10.1163/156939305775537375

10. Das, S. and A. Chakrabarty, "A novel modeling technique to solve a class of rectangular waveguide based circuits and radiators," Progress In Electromagnetics Research, Vol. 61, 231-252, 2006.
doi:10.2528/PIER06010302

11. Das, S., A. Chakrabarty, and A. Chakraborty, "Characteristics of an offset longitudinal/transverse slot coupled crossed waveguide junction using multiple cavity modeling technique considering the TE00 mode at the slot aperture," Progress In Electromagnetics Research, Vol. 67, 297-316, 2007.
doi:10.2528/PIER06092701

12. 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

13. 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

14. 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.

15. Katrich, V. A., M. V. Nesterenko, and N. A. Khizhnyak, "Asymptotic solution of integral equation for magnetic current in slot radiators and coupling apertures," Telecommunications and Radio Engineering, Vol. 63, 89-107, 2005.
doi:10.1615/TelecomRadEng.v63.i2.10

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

17. 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

18. King, R. W. P., The Theory of Linear Antennas, Harv. Univ. Press, Cambr., MA, 1956.

19. 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

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

21. Philatov, A. N., Asymptotic Methods in the Theory of Differential and Integral-differential Equations, PHAN, 1974.

22. 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.

23. 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.

24. Khac, T. V. and C. T. Carson, "Coupling by slots in rectangular waveguides with arbitrary wall thickness," Electronics Letters, Vol. 8, 456-458, 1972.
doi:10.1049/el:19720330

25. Nesterenko, M. V. and V. A. Katrich, "The method of induced magnetomotive forces for cavity-backed slot radiators and coupling slots," Radioelectronics and Communications Systems, Vol. 47, No. 1, 8-13, 2004.

26. Berdnik, S. L., V. A. Katrich, V. I. Kiiko, and M. V. Nesterenko, "Electrodynamic characteristics of the nonresonant system of transverse slots in the wide wall of rectangular waveguide," Radioelectronics and Communications Systems, Vol. 48, No. 1, 52-57, 2005.

27. Nesterenko, M. V. and V. A. 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

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

29. 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

30. Katrich, V. A., V. A. Lyashchenko, and S. L. Berdnik, "Electrically long waveguide-slot antennas with optimal radiation and directivity characteristics," Radioelectronics and Communications Systems, Vol. 46, No. 2, 36-42, 2003.

31. 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

32. Mittra, R. (ed.), Computer Techniques for Electromagnetics, Pergamon Press, Oxford-NY, 1973.

33. Katrich, V. A. and M. V. Nesterenko, "The near-zone field and resonant frequencies of narrow longitudinal slots in the broad face of a rectangular waveguide," Telecommunications and Radio Engineering, Vol. 60, 125-131, 2003.
doi:10.1615/TelecomRadEng.v60.i12.160

34. Southworth, G. C., Principles and Applications of Waveguide Transmission, NY, 1950.

35. Chen, T. S., "Waveguide resonant-iris filters with very wide passband and stopbands," Int. J. Electronics, Vol. 21, No. 5, 401-424, 1966.

36. Bornemann, J. and R. Vahldieck, "Characterization of a class of waveguide discontinuities using a modified TEx mn mode approach," IEEE Trans. Microwave Theory and Tech., Vol. MTT- 38, 1816-1822, 1990.
doi:10.1109/22.64561

37. Patzelt, H. and F. Arndt, "Double-plane steps in rectangular waveguides and their application for transformers, irises, and filters," IEEE Trans. Microwave Theory and Tech., Vol. MTT- 30, 771-776, 1982.
doi:10.1109/TMTT.1982.1131135

38. Beyer, R. and F. Arndt, "Efficient modal analysis of waveguide filters including the orthogonal mode coupling elements by an MM/FE method," IEEE Microwave and Guided Wave Lett., Vol. 5, No. 1, 9-11, 1995.
doi:10.1109/75.382376

39. Lewin, L., Advanced Theory of Waveguides, Iliffe & Sons, London, 1951.

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

41. Rud, L. A., "Axially rotated step junction of rectangular waveguides and resonant diaphragms based thereupon," Telecommunications and Radio Engineering, Vol. 55, No. 9, 17-26, 2001.

42. Mittra, R. and S. W. Lee, Analytical Techniques in the Theory of Guided Waves, The Macmillan Company, NY, 1971.

43. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, NY, 1980.

44. Leontovich, M. A., "On the approximate boundary conditions for the electromagnetic field on surfaces of good conductive bodies," Investigations of Radiowave Propagation, 1948.

45. Weinstein, L. A., The Theory of Diffraction and the Factorization Method, Golem Press, Boulder, Co., 1969.

46. Penkin, Y. M., "Admittance of slots with coordinate boundaries in a half-infinite rectangular waveguide with impedance endface," Telecommunications and Radio Engineering, Vol. 52, No. 9, 22-26, 1998.

47. Yoshitomi, K., "Radiation from a slot in an impedance surface," IEEE Trans. Antennas and Propagat., Vol. 49, 1370-1376, 2001.
doi:10.1109/8.954925

48. Takizawa, K. and O. Hashimoto, "Transparent wave absorber using resistive thin film at V-band frequency," IEEE Trans. Microwave Theory and Tech., Vol. MTT-47, 1137-1141, 1999.
doi:10.1109/22.775450

49. Brekhovskikh, L. M., Waves in Layered Media, Academic Press, NY, 1980.

50. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, Inc., New Jersey, 1973.

Dr. Mikhail Nesterenko

Dr. V. Katrich

Dr. Yuriy M. Penkin

Dr. Sergey L. Berdnik