Real axis integration of Sommerfeld integrals with error estimation

A new integration scheme, specifically tailored for the first, finite, part of Sommerfeld Integrals (SIs) arising in the electromagnetic analysis of multilayered structures, is presented. It appropriately handles the branch point singularities appearing in SIs utilizing double exponential quadrature rules and allows an efficient integration on the real axis without any need for deformed integration paths. Additionally, an error estimator is provided, guaranteeing the accuracy of the computations within predefined requirements. Finally, numerical results are presented validating both the improved performance of the proposed technique and the proper behavior of the error estimator.