Electromagnetic Scattering by Arbitrarily Located Electric and/or Magnetic Conducting Double-Strip

Abstract

The study presents electromagnetic scattering by arbitrarily located double strips with perfect electric and/or magnetic conducting surfaces. The study generalizes not only the physical dimension, location, and orientation of the strips but also, the boundary conditions on each strip are generalized and variable. It can be Dirichlet or Neumann boundary conditions. Since the study considers numerous parameters as the variable, the comparison between the present study and the literature is investigated in detail. Geometries such as parallelly located double strips with fractional boundary conditions, impedance double strips, and wedge problems are considered to compare. Besides, the proposed methodology is compared by the method of moments, the method of auxiliary sources, and the orthogonal polynomials approach. The suggested research investigates the electromagnetic scattering by finite wedge and arbitrarily located two strips with different boundary conditions and widths for the first time since each strip can have different widths and boundary conditions (Dirichlet or Neumann). The results reveal that the angle between the strips, the rotation of the strips, width of the strip have noticeable effects on the scattered field and total radar cross-sections. Between the strips, resonances are observed and their characteristics have a substantial dependency on the boundary conditions.

Keywords

• Diffraction
• Double-strip
• Finite wedge
• Scattering
• Semi-analytical

References

1. [1] Nethercote, M. A., Assier, R. C., and Abrahams, I. D., "Analytical methods for perfect wedge diffraction: a review", Wave Motion, 93: 102479, (2020).
2. [2] Vinogradov, S. S., Smith, P. D., and Vinogradova, E. D., Canonical problems in scattering and potential theory part II: Acoustic and electromagnetic diffraction by canonical structures, Chapman and Hall/CRC, (2002).
3. [3] Bowman, J. J., Senior, T. B. A., and Uslenghi, P. L. E., Electromagnetic and acoustic scattering by simple shapes (Revised edition), Hemisphere Publishing Corp., New York, (1987).
4. [4] Alkumru, A., “Plane wave diffraction by three parallel thick impedance half-planes”, Journal of Electromagnetic Waves and Applications, 12(6): 801–819, (1998).
5. [5] Tabatadze, V., Karaçuha, K., Veliyev, E. I., and Karaçuha, E., “The Diffraction by Two Half-Planes and Wedge with the Fractional Boundary Condition”, Progress in Electromagnetics Research M, 91: 1–10, (2020).
6. [6] Umul, Y. Z., “Scattering of electromagnetic waves by a perfect electromagnetic conductor half-screen”, Optik, 181: 383–388, (2019).
7. [7] Daniele, V., Lombardi, G., and Zich, R. S., “The double PEC wedge problem: Diffraction and total far field”, IEEE Transactions on Antennas and Propagation, 66(12): 6482–6499, (2018).
8. [8] Aydin, E. A., and İkiz, T., “Formulation of the Diffraction Problem of Almost Grazing Incident Plane Wave by an Anisotropic Impedance Wedge”, Majlesi Journal of Telecommunication Devices, 3(3): 115-122, (2014).

9. [9] Basdemir, H. D., “Wave scattering by a perfect electromagnetic conductor wedge residing between isorefractive media”, Progress in Electromagnetics Research M, 94: 31–39, (2020).
10. [10] Dikmen, F., Karacuha, E., and Tuchkin, Y. A., “Scalar wave diffraction by a perfectly soft infinitely thin circular ring”, Turkish Journal of Electrical Engineering and Computer Sciences, 9(2): 199–220, (2001).
11. [11] Of, J., April, E., and Chunfei, Y., “New approach to electromagnetic scattering from a conductive disc-ring structure”, Chinese Journal of Electronics,12(2): 168-176, (1995).
12. [12] Lee, H. S., and Eom, H. J., “Electromagnetic scattering from a thick circular aperture”, Microwave and Optical Technology Letters, 36(3): 228–231, (2003).
13. [13] Tabatadze, V., Karaçuha, K., and Veliyev, E. I., “The solution of the plane wave diffraction problem by two strips with different fractional boundary conditions”, Journal of Electromagnetic Waves and Applications, 34(7): 881–893, (2020).
14. [14] Karaçuha, K., Tabatadze, V., and Veliyev, E. I., “Electromagnetic plane wave diffraction by a cylindrical arc with edges: H-polarized case”, International Journal of Applied Electromagnetics and Mechanics, 68: 13–27, (2022).
15. [15] Sefer, A., and Yapar, A., “A spectral domain integral equation technique for rough surface scattering problems”, Waves in Random and Complex Media, 31(6): 1523–1539, (2021).
16. [16] Karaçuha, K., Tabatadze, V., and Veliev, E. I., “Plane wave diffraction by strip with an integral boundary condition”, Turkish Journal of Electrical Engineering and Computer Sciences, 28(3): 1776–1790, (2020).
17. [17] Zinenko, T. L., and Nosich, A. I., “Plane wave scattering and absorption by flat gratings of impedance strips”, IEEE Transactions on Antennas and Propagation, 54(7): 2088–2095, (2006).
18. [18] Polat, B., and Daşbaşı, R., “Free space doppler analysis and RCS of a moving PEC plate under physical optics approximation”, IEEE 2021 8th International Conference on Electrical and Electronics Engineering (ICEEE), 27-31, (2021).
19. [19] Koç, U. C., Başaran, E., Ülkü, H. A., and Alkumru, A. “Hareketli Bir Küreye İlişkin Enerji Dağılımı ve Saçılma Katsayısı”, URSI-Türkiye 2021 X. National General Assembly, (2021).
20. [20] Gürbüz, T. U., Aslanyürek, B., "A Semi-Analytical Method for Electromagnetic Scattering by Infinitely Long Arbitrary Shaped Multilayer Cylinders at Oblique Incidence", IEEE Transactions on Antennas and Propagation, (2023).
21. [21] Nagasaka, T., and Kobayashi, K., “Wiener-Hopf Analysis of the Diffraction by a Strip with Fractional Boundary Conditions”, 2019 Photonics & Electromagnetics Research Symposium-Fall, 66–72, (2019).
22. [22] Butler, C., “General solutions of the narrow strip (and slot) integral equations”, IEEE Transactions on Antennas and Propagation, 33(10): 1085–1090, (1985).
23. [23] Ziolkowski, R., and Grant, J., “Scattering from cavity-backed apertures: The generalized dual series solution of the concentrically loaded E-pol slit cylinder problem”, IEEE Transactions on Antennas and Propagation, 35(5): 504–528, (1987).
24. [24] Karaçuha, K., Tabatadze, V., Alperen, Ö.F., Karaçuha, E. and Veliev, E., “Electromagnetic Diffraction by a Slotted Cylinder with the Fractional Boundary Condition”, Progress in Electromagnetics Research C, 128: 61-71, (2023).
25. [25] Meixner, J., “The behavior of electromagnetic fields at edges”, IEEE Transactions on Antennas and Propagation, 20(4): 442–446, (1972).
26. [26] Bateman, H., Higher transcendental functions, McGraw-Hill Book Company, New York, (1953).
27. [27] Prudnikov, A. P., Brychkov, I. A., and Marichev, O. I., Integrals and series: special functions, 2, CRC Press, (1986).
28. [28] Tabatadze, V., Karaçuha, K., Alperen, Ö. F., and Veliev, E., “H‐polarized plane wave diffraction by a slotted cylinder with different surface impedances: Solution by the analytical—Numerical approach”, IET Microwaves, Antennas & Propagation, 16(14):869-79, (2022).
29. [29] Balanis, C. A., Antenna theory: analysis and design, John Wiley & Sons., (2016).
30. [30] Ishimaru, A., Electromagnetic wave propagation, radiation, and scattering: from fundamentals to applications, John Wiley & Sons., (2017).
31. [31] Balanis, C. A., Advanced Engineering Electromagnetics, John Wiley & Sons., (1999).
32. [32] Tabatadze, V., Karacuha, K., Karacuha, E., and Veliev, E., “Electromagnetic Scattering by the Strip with Different Impedances on Both Sides”, 2022 IEEE 2nd Ukrainian Microwave Week (UkrMW), 482-485, (2022).