Vol. 75
Latest Volume
All Volumes
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]
2007-06-22
Diffraction of Electromagnetic Plane Wave by an Impedance Strip
By
Progress In Electromagnetics Research, Vol. 75, 303-318, 2007
Abstract
This paper investigates the scattering of electromagnetic plane wave from an impedance strip. Both E- and H-polarizations are considered. The method of analysis is Kobayashi potential, which uses the discontinuous properties of Weber-Schafheitlin's integrals. Imposition of boundary conditions result in dual integral equations. Using the projection, equations reduces to matrix equations. The elements are given in terms of infinite integrals that contains the poles for particular values of surface impedance and these integrals are computed numerically. Far diffracted fields in the upper half space for different angles of incident are computed. To check the validity of the results, we have derived the physical optics (PO) approximate solutions. Numerical results for both the methods are compared. The agreement is good. Current distribution on the strip is also presented.
Citation
Amjad Imran, Qaisar Naqvi, and Kohei Hongo, "Diffraction of Electromagnetic Plane Wave by an Impedance Strip," Progress In Electromagnetics Research, Vol. 75, 303-318, 2007.
doi:10.2528/PIER07053104
References

1. Grinberg, G. A., "Diffraction of electromagnetic waves by a strip of finite width," Soviet Phys. Doklady, Vol. 4, 1222-1225, 1960.

2. Hansen, E. B., "Scalar diffraction by infinite strip and circular disk," J. Math. Phys., Vol. 41, 229-245, 1962.

3. Jones, D. S. and B. Nobel, "The low frequency scattering by a perfectly conducting strip," Proc. Cambridge Phil. Soc., Vol. 57, 364-366, 1961.

4. Fialkovskiy, A. T., "Diffraction of planar electromagnetic waves by a slot and a strip," Radio Eng. Electron., Vol. 2, 150-157, 1966.

5. Herman, M. I. and J. L. Volakis, "High frequency scattering by a resistive strip and extensions to conductive and impedance strips," Radio Sci., Vol. 22, No. 6, 335-349, 1987.

6. Buyukaksoy, A., O. Bicakci, and A. H. Serbest, "Diffraction of an E-polarized plane wave by a resistive strip located on a dielectric interface," Journal of Electromagnetic Waves and Applications, Vol. 8, 575-590.

7. Buyukaksoy, A. and G. Uzgoren, "Secondary diffraction of a plane wave by a metal-LIC wide strip residing on the plane interface of two dielectric media," Radio Science, Vol. 22, No. 3, 183-191, 1987.

8. Barkeshli, K. and J. L. Volakis, "Electromagnetic scattering by thin strips Part I-Analytical solutions for wide and narrow strips," IEEE Trans. Edu., Vol. 47, No. 1, 100-106, 2004.
doi:10.1109/TE.2003.818274

9. Barkeshli, K. and J. L. Volakis, "Electromagnetic scattering by thin strips Part II-Numerical solution for strips of arbitrary size," IEEE Trans. Education, Vol. 47, No. 1, 100-106, 2004.
doi:10.1109/TE.2003.818274

10. Buyukaksoy, A. and E. Erdogan, "High-frequency diffraction of a plane wave by a two-part impedance strip," International Journal of Engineering Science, Vol. 27, 87-95, 1989.
doi:10.1016/0020-7225(89)90170-5

11. Waterman, P. C., "Exact theory of scattering by conducting strips," AvcoCorporationRes.ReportRAD-TM-63-78.1963., 63-78, 1963.

12. Tranter, C. J., "A further note on dual integral equations and an application to the diffraction of electromagnetic waves," Quart. J. Mec. Appl. Math., Vol. 7, 317-325, 1954.
doi:10.1093/qjmam/7.3.317

13. Nobel, B., Integral Equation Perturbation Methods in Low Frequency Diffraction in Electromagnetic Waves, 323-360, R. Langer (ed.), 323-360, 1962.

14. Grinberg, G. A., "A method for solving problems of the diffraction of electromagnetic waves by ideally conducting plane screens based on the study of currents induced on the shaded side of the screen," Soviet Phys.-Techn. Phys., Vol. 3, 521-534, 1958.

15. Levine, H. and J. Schwinger, "On the theory electromagnetic wave diffraction by an aperture in an infinite plane conducting screen," Cummun. Pure Appl. Math., Vol. 3, 494-499, 1978.

16. Kieburtz, R. B., "Construction of asymptotic solutions to scattering problems in the Fourier transform representation," Appl. Sci. Res., Vol. B12, 221-234, 1965.
doi:10.1007/BF00382123

17. Birbir, F. and A. Buyukaksoy, "Plane-wave diffraction by a wide slit in a thick impedance screen," J. Electromagnetic. Waves Appl., Vol. 10, No. 6, 803-826, 1996.

18. Serbest, A. H. and A. Buyukaksoy, "Some approximate methods related to the diffraction by strips and slits," Analytical and Numerical Methods in Electromagnetic Wave Theory, 1993.

19. Keller, J. B., "A geometric theory of diffraction, in calculus of variations and its applications," Symp. Appl. Math., Vol. 8, 27-52, 1962.

20. Al Sharkawy, M. H., V. Demir, and A. Z. Elsherbeni, "The iterative multi-region algorithm using a hybrid finite difference frequency domain and method of moment techniques," Progress In Electromagnetics Research, Vol. 57, 19-32, 2006.
doi:10.2528/PIER05071001

21. Cmar, G. and A. Buyukaksoy, "A hybrid method for the solution of plane wave diffraction by an impedance loaded parallel plate waveguide," Progress In Electromagnetics Research, Vol. 60, 293-310, 2006.
doi:10.2528/PIER05120702

22. Guiliano, M., P. Nepa, G. Pelosi, and A. Vallecchi, "An approximate solution for skew incidence diffraction by an interior right-angled anisotropic impedance wedge," Progress In Electromagnetics Research, Vol. 45, 45-75, 2004.
doi:10.2528/PIER03052702

23. Sneddon, I. N., Boundary value Problems in Potential Theory, North-Holland, Amsterdam, The Netherlands, 1966.

24. Kobayashi, I., "Darstellung eines potentials in Zylindrischen Koordinaten, das sich auf einer ebene innerhalb und ausserhalb einer gewissen Kreisbegrenzung verschiedener Grenzbendingung unterwirft," Sci. Rep., Vol. 20, 197-212, 1931.

25. Nomura, Y., "The electrostatic problems of two equal parallel circular plates," Pro. Phys. Math. Soc. Japan, Vol. 23, 168-180, 1941.

26. Takahashi, M. and K. Hongo, "Capacitance of coupled circular microstrip disks," IEEE Trans. Microwave Theory Tech., Vol. MTT-30, No. 11, 1881-1888, 1982.
doi:10.1109/TMTT.1982.1131338

27. Nomura, Y. and N. Kawai, "On the acoustic field by a vibrating source arbitrarily distributed on a plane circular plate," Sci. Rep., Vol. 33, No. 4, 197-207, 1949.

28. Otsuki, T., "Diffraction of an acoustic wave by a rigid rectangular plate," J. Phys. Soc. Japan, Vol. 19, No. 9, 1733-1741, 1964.

29. Hongo, K. and H. Serizawa, "Diffraction of electromagnetic plane wave by a rectangular plate and a rectangular hole in the conducting plate," IEEE Trans. on Antennas and Propagation, Vol. 47, No. 6, 1029-1041, 1999.
doi:10.1109/8.777128

30. Imran, A., Q. A. Naqvi, and K. Hongo, "Diffraction of plane wave by two parallel slits in an infinitely long impedance plane using the method of Kobayashi potential," Progress In Electromagnetics Research, Vol. 63, 107-123, 2006.
doi:10.2528/PIER06042601

31. Hongo, K. and Q. A. Naqvi, "Diffraction of electromagnetic wave by disk and circular hole in a perfectly conducting plane," Progress In Electromagnetics Research, Vol. 68, 113-150, 2007.

32. Hongo, K., "Diffraction by a anged parallel-plate waveguide," Radio Science, Vol. 10, 955-963, 1972.