Scattering of electromagnetic plane wave from a perfect electric conducting strip placed at interface of topological insulator–chiral medium

• Scattering from a perfect electric conducting strip located at planar interface of topological insulator–chiral medium is investigated using the Kobayashi Potential method.
• One more degree of freedom has been observed in TI–chiral material as a comparison of free space-chiral medium.
• Scattering width modifies itself by increasing width of conducting strip at the interface of half space geometry.

In this manuscript, scattering from a perfect electric conducting strip located at planar interface of topological insulator (TI)–chiral medium is investigated using the Kobayashi Potential method. Longitudinal components of electric and magnetic vector potential in terms of unknown weighting function are considered. Use of related set of boundary conditions yields two algebraic equations and four dual integral equations (DIEs). Integrand of two DIEs are expanded in terms of the characteristic functions with expansion coefficients which must satisfy, simultaneously, the discontinuous property of the Weber–Schafheitlin integrals, required edge and boundary conditions. The resulting expressions are then combined with algebraic equations to express the weighting function in terms of expansion coefficients, these expansion coefficients are then substituted in remaining DIEs. The projection is applied using the Jacobi polynomials. This treatment yields matrix equation for expansion coefficients which is solved numerically. These unknown expansion coefficients are used to find the scattered field. The far zone scattering width is investigated with respect to different parameters of the geometry, i.e, chirality of chiral medium, angle of incidence, size of the strip. Significant effects of different parameters including TI parameter on the scattering width are noted.