General solutions of the narrow strip (and slot) integral equations

TLDR: In this article, the integral equations for the current induced on a narrow conducting strip are obtained by two methods: one method follows from an expansion of the strip current in a series of Chebyshev polynomials while the other is based on a special power series expansion.

Abstract: Analytic solutions of the integral equations for the current induced on a narrow conducting strip are obtained by two methods. One method follows from an expansion of the strip current in a series of Chebyshev polynomials while the other is based on a special power series expansion. In the former, Fourier-type coefficients, depending on integrals of the excitation, are derived while in the latter the coefficients depend upon derivatives of the excitation. From knowledge of the strip current simple expressions for the far-zone scattered field are derived. Explicit results are given for plane wave excitation. The solution methods apply to the equations for the narrow slot in a planar conducting screen.