Analytical solution of electromagnetic scattering by PEMC strip embedded in chiral medium. (April 2020)

• Record Type: Journal Article
• Authors: Davoudabadifarahani, Hossein; Ghalamkari, Behbod
• Is Part Of: Engineering analysis with boundary elements. Volume 113(2020)
• Page Start: 1
• Page End: 8
• Publication Date: 2020-04
• Subjects: Kobayashi potential method -- Beltrami field -- Electromagnetic scattering -- PEMC strip -- Chiral medium; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2019.12.007
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper studies the analytical scattering of left and right handed Beltrami fields and also TE and TM polarizations from a PEMC strip placed in unbounded chiral medium using Kobayashi Potential (KP) method. Initially, the scattered fields are assumed as left and right circularly polarized waves with unknown weighting functions. Then, applying the boundary conditions leads to dual integral equations (DIE). Utilizing the Weber–Schafheitlin's (WS's) discontinuous integrals and Jacobi's polynomials, results in satisfying the DIEs and the edge conditions. In the process, the matrix equations with unknown coefficients are produced. The size of the matrix is truncated with high accuracy and the equations are solved by the matrix algebra. After determining the unknown coefficients, the scattered fields are calculated. The proposed method is validated using convergence analysis and also two various reported methods: Physical Optics (PO) and Method of Moments (MoM). Finally, in order to show the influence of the parameters of the problem, parametric study is presented for different values of: the admittance parameter of PEMC, the width of the strip, chirality parameter and the angle of the incidence. It is notable that the method is greatly accurate and can be applied to the strips with the width of too narrow to wide.