Uzer, Ali2024-03-132024-03-1320201536-12251548-5757https://doi.org/10.1109/LAWP.2020.3027574https://hdl.handle.net/20.500.12662/3645A slowly convergent series that arises in the solution of 2-D conducting half-plane problems with line source (cylindrical wave) illumination is transformed into a new series by attaching an arbitrary parameter alpha to the terms of series. The effect of alpha on the convergence behavior of the new series is analyzed theoretically and also illustrated by figures. For some values of alpha, the new series reduces to some rapidly convergent and accurate forms as demonstrated by calculations.eninfo:eu-repo/semantics/closedAccessTwo dimensional displaysDiffractionConvergenceMathematical modelLightingTransmittersReceiversGeometrical theory of diffraction (GTD)physical theory of diffraction (PTD)series (mathematics)uniform theory of diffraction (UTD)Article10.1109/LAWP.2020.30275742-s2.0-85098255834220512Q1220119WOS:000603036600040Q2