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oai:docta.ucm.es:20.500.14352/649482023-08-26T02:40:19Zcom_20.500.14352_14col_20.500.14352_15

Fernández Álvarez-Estrada, Ramón Calvo Padilla, María Luisa 2023-06-21T02:08:12Z 2023-06-21T02:08:12Z 1980 0022-2488 10.1063/1.524427 https://hdl.handle.net/20.500.14352/64948 http://dx.doi.org/10.1063/1.524427 http:\\scitation.aip.org 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. metadata only access Electromagnetic scattering by an infinite inhomogeneous dielectric cylinder: New Green’s function and integral equations journal article