Diffraction of an electromagnetic wave by gaps between plates
The solution of the Helmholtz equation, i.e., the simplified version of Maxwell's equations for \(TE\)-polarized electromagnetic wave, is derived for the case of diffraction by metal slots. The authors reduce this diffraction problem to an integral equation with a strongly singular kernel, which is further reduced to an infinite system of linear algebraic equations. Finally, the analytic formula of the solution is represented with respect to generalized Chebyshev polynomials.
scientific article; zbMATH DE number 6217319