A meshless method for fast solution of the electromagnetic scattering problem related to arbitrary shaped radially inhomogeneous cylinders is proposed. This is an important problem since radially inhomogeneous circular cylinders are common in various engineering applications, and deformations such as notches, grooves and noncircular holes on such cylinders are required for different purposes. This approach is basically an extension of the previously proposed method, which is based on Fourier series representation of the electric field on boundaries. In the original method, a multilayer cylinder with arbitrary shaped homogeneous layers is considered, and accordingly, the general solution of the cylindrical wave equation in homogeneous medium is used. Here we modify the method by considering the general solution in radially inhomogeneous medium, and derive compact expressions for the field.
Tolga Ulaş Gürbüz,
"A Meshless Method for TM Scattering from Arbitrary Shaped Radially Inhomogeneous Cylinders," Progress In Electromagnetics Research M,
Vol. 99, 35-44, 2021. doi:10.2528/PIERM20100403
1. El-Galy, I. M., B. I. Saleh, and M. H. Ahmed, "Functionally graded materials classifications and development trends from industrial point of view," SN Appl. Sci., Vol. 1, 1378, 2019. doi:10.1007/s42452-019-1413-4
3. Burman, R., "Electromagnetic scattering by a cylinder with an inhomogeneous sheath," Electronics Letters, Vol. 2, No. 2, 66-67, 1966. doi:10.1049/el:19660052
4. Yeh, C. and Z. A. Kaprielian, "Scattering from a cylinder coated with an inhomogeneous dielectric sheath," Canadian Journal of Physics, Vol. 41, 143-151, 1963. doi:10.1139/p63-013
5. Samaddar, S. N., "Scattering of plane electromagnetic waves by radially inhomogeneous infinite cylinders," Il Nuovo Cimento B, Vol. 66, No. 1, 33-50, 1970. doi:10.1007/BF02710188
6. Tsalamengas, J., "Oblique scattering from radially inhomogeneous dielectric cylinders: An exact Volterra integral equation formulation," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 213, 62-73, 2018. doi:10.1016/j.jqsrt.2018.04.016
7. Kai, L. and A. D'Alessio, "Finely stratified cylinder model for radially inhomogeneous cylinders normally irradiated by electromagnetic plane waves," Applied Optics, Vol. 34, No. 24, 5520-5530, 1995. doi:10.1364/AO.34.005520
8. Kiani, M., A. Abdolali, and M. M. Salary, "Analysis of scattering from cylindrical structures coated by radially inhomogeneous layer using Taylor's series method," Journal of Electromagnetic Waves and Applications, Vol. 28, No. 13, 1642-1660, 2014. doi:10.1080/09205071.2014.938172
9. Jarem, J. M., "Rigorous coupled wave analysis of radially and azimuthally-inhomogeneous, elliptical, cylindrical systems," Progress In Electromagnetics Research, Vol. 34, 89-115, 2001. doi:10.2528/PIER01032302
10. Watanabe, Y. and H. Sato, "Review fabrication of functionally graded materials under a centrifugal force," Nanocomposites with Unique Properties and Applications in Medicine and Industry, 133-150, edited by John Cuppoletti, IntechOpen, London, 2011.
11. Richmond, J. H., "Scattering by a dielectric cylinder of arbitrary cross section shape," IEEE Trans. Antennas Propag., Vol. 13, No. 3, 334-341, 1965. doi:10.1109/TAP.1965.1138427
12. Jin, J. M. and V. V. Liepa, "Application of hybrid finite element method to electromagnetic scattering from coated cylinders," IEEE Trans. Antennas Propag., Vol. 36, No. 1, 50-54, 1988. doi:10.1109/8.1074
13. Aslanyürek, B. and T. U. Gürbüz, "A continuity-based series solution for electromagnetic scattering by arbitrary shaped multilayer cylinders: TM case," IEEE Trans. Antennas Propag., Vol. 65, No. 2, 812-819, 2017. doi:10.1109/TAP.2016.2637859
14. Yao, S., C. Cheng, Z. Hu, and Z. Niu, "Investigation of singularity orders and eigen-angular functions for V-notches in radially inhomogeneous materials," Mechanics of Advanced Materials and Structures, Vol. 25, No. 4, 295-303, 2016. doi:10.1080/15376494.2016.1255829
15. Wang, W., H. Yuan, X. Li, and P. Shi, "Stress concentration and damage factor due to central elliptical hole in functionally graded panels subjected to uniform tensile traction," Materials, Vol. 12, No. 3, 422, 2019. doi:10.3390/ma12030422
16. Aslanyürek, B. and T. U. Gürbüz, "An efficient recursive approach for electromagnetic scattering by arbitrary-shaped multilayer cylinders," IEEE Antennas Wireless Propag. Lett., Vol. 19, No. 8, 1375-1379, 2020. doi:10.1109/LAWP.2020.3001484
17. Aslanyürek, B. and T. U. Gürbüz, "A series solution for TE electromagnetic scattering by arbitrary shaped multilayer cylinders," IEEE Antennas Wireless Propag. Lett., Vol. 17, No. 1, 38-41, 2018. doi:10.1109/LAWP.2017.2772347
18. Mishchenko, M. I., L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles, Cambridge Univ. Press, Cambridge, 2002.
19. Frezza, F., F. Mangini, and N. Tedeschi, "Introduction to electromagnetic scattering: Tutorial," J. Opt. Soc. Am. A, Vol. 35, 163-173, 2018. doi:10.1364/JOSAA.35.000163