BACKSCATTERING FROM SOFT-HARD TRIANGULAR CYLINDER: PRIMARY PTD APPROXIMATION

Abstract

High-frequency diraction from isosceles triangular cylinders with two faces soft and one face hard is investigated for backscattering case and novel rst-order physical theory of diraction asymptotics are derived. Only primary edge waves are taken into account. It is shown that, by changing the apex angle of the cylinder, PTD results of the soft-hard triangular cylinder agree-well with those of the PTD results of Soft-Hard Strip.

Keywords

• asymptotic diraction theory,backscattering,far zone eld,physical theory of diraction,scattering

References

1. Morse, B. J., (1964), Diffraction by polygonal cylinders. J Math Phys, 5, 2, pp. 199-214. Erdelyi, A., (1956), Asymptotic expansions, Dover publications, New York.
2. Rusch, W. V. T., (1978), Forward scattering from cylinders of triangular cross section. IEEE T Antenn Propag, 26, 6, pp. 849-850.
3. Michaeli A., (1987), A uniform GTD solution for the far-field scattering by polygonal cylinders and strips. IEEE T Antenn Propag, 35, 8, pp. 983-986.
4. Tiberio, R., Manara, G., Pelosi, G., Kouyoumjian, R. G., (1989), High-frequency electromagnetic scattering of plane waves from double wedges. IEEE T Antenn Propag, 37, 9, pp. 1172-1180.
5. Veliev, E.I., Veremey, V.V., (1993), Numerical analytical approach for the solution to the wave scat- tering by polygonal cylinders and flat strip structures. In: Hashimoto, M., Idemen, M., Tretyakov, O.A., editors. Analytical and Numerical Methods in Electromagnetic Wave Theory. Tokyo Science House.
6. Wu, J., Mostafavi, M., (1993), Higher order UTD analysis of a conducting triangular cylinder excited by a magnetic line source. IEEE T Magn, 29, 2, pp. 1650-1652.
7. Lucido, M., Panariello, G., Schettino, F., (2006), Analysis of the electromagnetic scattering by per- fectly conducting convex polygonal cylinders. IEEE T Antenn Propag, 54, 4, pp. 1223-1231.
8. Sunahara, Y., Kaniya, S., Aoki, H., Sato, S., Mano, S., (1986) Backscattering from triangular cylinder and hexahedron. In: Antennas and Propagation Society International Symposium, Philadelphia, USA, IEEE, pp. 49-52.

9. Ufimtsev, P. Ya., (2014), Fundamentals of the physical theory of diffraction. 2nd ed. Hoboken, USA, John Wiley and Sons, Inc.
10. Johansen, P. M., (1996), Uniform physical theory of diffraction equivalent edge currents for truncated wedge strips. IEEE T Antenn Propag, 44, pp. 989-995.
11. Illyashenko, L. N., (2002), Electromagnetic backscattering from a triangular dielectric cylinder. In: IX International conference on mathematical methods in electromagnetic theory, Kiev, Ukraine, IEEE, pp. 592-593.
12. Sukharevsky, I. O., Nosich A. I., Altintas A., (2015), Manipulation of backscattering from a dielectric cylinder of triangular cross-section using the interplay of GO-like ray effects and resonances. IEEE T Antenn Propag, 63, 5, pp. 2162-2168.
13. Hacivelioglu, F., Apaydin, G., Sevgi, L., Ufimtsev, P. Ya., (2018), Diffraction at trilateral cylinders with combinations of soft and hard faces: first-order PTD approximation, Electromagnetics, 38, 4, pp. 217-225.
14. Buyukaksoy, A., Alkumru, A., (1995), Multiple diffraction of plane waves by soft/hard strip. J Eng Math, 29, pp. 105-120.
15. Hacivelioglu, F., Sevgi, L., Ufimtsev, P. Ya., (2013), Backscattering from a soft-hard strip: primary edge waves approximations. IEEE Antenn Wirel Pr, 12, pp. 249-252.
16. Apaydin, G., Sevgi, L., (2015), Method of moments modeling of backscattering by a soft-hard strip. IEEE T Antenn Propag, 63, pp. 5822-5826.
17. Sommerfeld, A., (1896), Mathematische Theorie der diffraction. Math Ann, 47, pp. 317-374.
18. Macdonald, H.M., (1902), Electric waves. Cambridge, UK: Cambridge University Press.
19. Sommerfeld, A.,(1935), Theorie der Beugung. In: Frank F. and Mizes R.V., editors. Die Differen- tial und integralgleichungen der mechanik und physik. Braunschweig, Germany, Wieweg and Sohn (American Publications, New York, 1943, 1961).
20. Ufimtsev, P. Ya., (2013), Diffraction at a wedge with one face electric and the other face magnetic. IEEE Antenn Propag Magazine, 55, 5, pp. 63-73.