Vol. 57
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2005-09-27
The Asymptotic Solution of an Integral Equation for Magnetic Current in a Problem of Waveguides Coupling through Narrow Slots
By
Progress In Electromagnetics Research, Vol. 57, 101-129, 2006
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.
Citation
Mikhail Nesterenko, 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
References

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.