Abstract
An exact semi-analytical method of calculating the scattered fields from a chiral-coated conducting object under arbitrary shaped beam illumination is developed. The scattered fields and the fields within the chiral coating are expanded in terms of appropriate spherical vector wave functions. The unknown expansion coefficients are determined by solving an infinite system of linear equations derived using the method of moments technique and the boundary conditions. For incidence of a Gaussian beam, circularly polarized wave, zero-order Bessel beam and Hertzian electric dipole radiation on a chiral-coated conducting spheroid and a chiral-coated conducting circular cylinder of finite length, the normalized differential scattering cross sections are evaluated and discussed briefly.
Highlights
The electromagnetic (EM) properties of chiral media have been extensively investigated in past several decades, for their wide applications in so many fields1–5
The extended boundary condition method (EBCM) or T-matrix method has been effectively applied to the scattering by a chiral object or aggregated optically active particles8–10
The method of moments (MoM) with surface formulations has been presented by Worasawate et al.11, and the bi-isotropic finite difference time domain technique by Semichaevsky et al.12, for treating the plane wave scattering by a chiral object
Summary
Where A is described the electric or magnetic field, and the transformation matrix T is computed by. M and N (usually larger than 8 and 20 respectively) are so chosen to ensure a solution accuracy better than three or more significant figures, and the Gaussian eliminated technique is utilized in the MATLAB environment for solving these 6(2M + 1) (N + 1) unknowns. When both the chiral coating and inner conducting object have the z axis as a rotation axis (axisymmetric object), the different m indices will decouple since the surface integrals in Eqs (16–19 and 23–26) are zero when m ≠ −m′9,17. The current MoM scheme is directly applied to the boundary conditions rather than to the combined field integral equations based on the surface equivalence principle, which is simple in theory and easy to manipulate mathematically
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