Fernández Álvarez-Estrada, RamónCalvo Padilla, María Luisa2023-06-212023-06-2119800022-248810.1063/1.524427https://hdl.handle.net/20.500.14352/64948© 1980 American Institute of Physics.The scattering of electromagnetic waves by an infinite dielectric cylinder with variable dielectric permeability presents, in general, certain mathematical difficulties regarding the construction of rigorous solutions. We give a new divergenceless tensorGreen’s function, specially appropriate for cylindrical symmetry, and, in terms of it, present new scattering integral equations. We prove that the series for med by all successive iterations of those scattering integral equations converge under certain conditions. Suitable transformations lead to new integral equations with Hilbert–Schmidt kernels, which imply further rigorous results.journal articlehttp://dx.doi.org/10.1063/1.524427http:\\scitation.aip.orgmetadata only access535Mathematical PhysicsÓptica (Física)2209.19 Óptica Física