High-frequency scattering of a whispering gallery mode by a cylindrically curved surface with second-order generalized impedance boundary conditions

A high-frequency solution is derived for the diffraction of electromagnetic waves by a cylindrically curved metallic sheet whose concave and convex faces are coated by dielectric layers of the same physical properties and thicknesses. After simulating the effects of the grounded dielectric layer by second-order generalized impedance boundary conditions, a canonical problem is formulated in an infinitely extended angular space from which explicit asymptotic expressions for the diffraction coefficients are obtained through the asymptotic solution of a Hilbert problem.