A new method evaluation of the EFIE integral in two dimensions

In this work, a new method evaluation of singular EFIE integral is proposed substantially more accurate than that of the traditional singularity extraction (SE) method. The latter is the most accurate compared to other existing methods. Its simplest version with remained integral evaluated in the Bogoluybov-Krylov approach is the most economical but not sufficiently accurate. In principle, it is possible to improve this simplest version but it takes much computational labor. To solve this problem in three dimensions, a new approach has been proposed. In presented work, this problem is considered in two dimensions. A method analytical evaluation (AE) of the EFIE integral in the vicinity of singular points is proposed here. The main merit of this method is the substantial increasing of accuracy without increasing in the total computational labor (TCL) compared with the simplest version of the SE method.