Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T08:47:04.375Z Has data issue: false hasContentIssue false
  • English
  • Français

Scattering of a Gaussian beam by an anisotropic-coated eccentric conducting circular cylinder

Published online by Cambridge University Press:  27 April 2020

Shi-Chun Mao Open the ORCID record for Shi-Chun Mao [Opens in a new window] ,
Zhen-Sen Wu ,
Zhaohui Zhang ,
Jiansen Gao  and
Lijuan Yang
Shi-Chun Mao*
Affiliation:
Institute of Information Engineering, Suqian College, Suqian, Jiangsu223800, China
Zhen-Sen Wu
Affiliation:
School of Physics and Optoelectronic Engineering, Xidian University, Xi'an, Shaanxi710071, China
Zhaohui Zhang
Affiliation:
Institute of Information Engineering, Suqian College, Suqian, Jiangsu223800, China
Jiansen Gao
Affiliation:
Institute of Information Engineering, Suqian College, Suqian, Jiangsu223800, China
Lijuan Yang
Affiliation:
Institute of Information Engineering, Suqian College, Suqian, Jiangsu223800, China
*
Author for correspondence: Shi-Chun Mao, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

A solution to the problem of Gaussian beam scattering by a circular perfect electric conductor coated with eccentrically anisotropic media is presented. The incident Gaussian beam source is expanded as an approximate expression in the simple form with Taylor's series. The transmitted field in the anisotropically coated region is expressed as an infinite summation of Eigen plane waves with different polar angles. The unknown coefficients of the scattered fields are obtained with the aid of the boundary conditions. The addition theorem for cylindrical functions is applied to transfer from the local coordinates to the global ones. The infinite series can be truncated under the prerequisite of achieving the solution convergence. Only the case of transverse-electric polarization is discussed. The similar formulation of transverse-magnetic polarization can be obtained by adopting a similar method. Some numerical results are presented and discussed. The result is in agreement with that available as expected when the eccentric geometry comes to the concentric one.

Keywords

scatteringcomplex mediacomputational electromagnetics
Type
EM Field Theory
Information
International Journal of Microwave and Wireless Technologies , Volume 12 , Special Issue 9: EuMCE 2019 Special Issue (Part I) , November 2020 , pp. 900 - 905
Check for updates
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Mizrahi, E and Melamed, T (2018) Plane wave scattering by a moving PEC circular cylinder. IEEE Transactions on Antennas and Propagation 66, 3623–3630.10.1109/TAP.2018.2826654CrossRefGoogle Scholar
Hyde, MW, Bogle, AE and Havrilla, MJ (2013) Scattering of a partially-coherent wave from a material circular cylinder. Optics Express 21, 32327–32339.10.1364/OE.21.032327CrossRefGoogle ScholarPubMed
Montaseri, N, Abdolali, A, Soleimani, M and Nayyeri, V (2012) Plane wave scattering by a circular PEMC cylinder coated with anisotropic media. International Journal of RF and Microwave Computer-Aided Engineering 23, 225–231.10.1002/mmce.20668CrossRefGoogle Scholar
Valenzuela-Sau, JD, Munguia-Arvayo, R, Gastelum-Acuna, S, Gaspar-Armenta, J, Napoles-Duarte, J and Garcia-Llamas, R (2017) Scattering of a Gaussian beam from a row of cylinders with rectangular cross section. Journal of the Optical Society of America. A, Optics, Image Science, and Vision 34, 1369–1375.10.1364/JOSAA.34.001369CrossRefGoogle ScholarPubMed
Zhang, H, Huang, Z and Shi, Y (2013) Internal and near-surface electromagnetic fields for a uniaxial anisotropic cylinder illuminated with a Gaussian beam. Optics Express 21, 15645–15653.10.1364/OE.21.015645CrossRefGoogle ScholarPubMed
Mao, SC, Zhang, ZH, Gao, JS and Wu, ZS (2019) Scattering of a Gaussian beam by an anisotropically coated circular cylinder. Waves in Random and Complex Media 29, 54–62.10.1080/17455030.2017.1405173CrossRefGoogle Scholar
Mao, S-C, Wu, Z-S, Zhang, Z and Gao, J (2017) Two-dimensional scattering of a Gaussian beam by a homogeneous gyrotropic circular cylinder. International Journal of Microwave and Wireless Technologies 9, 1925–1929.10.1017/S1759078717001003CrossRefGoogle Scholar
Dikmen, F, Sever, E, Vatansever, S and Tuchkin, YA (2015) Well-conditioned algorithm for scattering by a few eccentrically multilayered dielectric circular cylinders. Radio Science 50, 99–110.10.1002/2014RS005501CrossRefGoogle Scholar
Kriezis, EE, Pandelakis, PK and Papagiannakis, AG (1994) Diffraction of a Gaussian beam from a periodic planar screen. Journal of the Optical Society of America. A, Optics, Image Science, and Vision 11, 630–636.10.1364/JOSAA.11.000630CrossRefGoogle Scholar
Valagiannopoulos, CA and Tsitsas, NL (2012) Field enhancement in a grounded dielectric slab by using a single superstrate layer. Advances in OptoElectronics 2012, 1–9.10.1155/2012/439147CrossRefGoogle Scholar
Kozaki, S (1982) A new expression for the scattering of a Gaussian beam by a conducting cylinder. IEEE Transactions on Antennas & Propagation 30, 881–887.10.1109/TAP.1982.1142912CrossRefGoogle Scholar
Ren, W and Wu, XB (1995) Application of an eigenfunction representation to the scattering of a plane wave by an anisotropically coated circular cylinder. Journal of Physics D: Applied Physics 28, 1031–1039.10.1088/0022-3727/28/6/003CrossRefGoogle Scholar
Stratton, JA (1941) Electromagnetic Theory. New York: McGraw-Hill.Google Scholar
Beker, B, Umashankar, KR and Taflove, A (1990) Electromagnetic scattering by arbitrarily shaped two-dimensions perfectly conducting objects coated with homogeneous anisotropic materials. Electromagnetics 10, 387–406.10.1080/02726349008908253CrossRefGoogle Scholar