A regularization approach for high-frequency electromagnetic field-to-line coupling analysis

The problem of the high-frequency electromagnetic field coupling to an overhead electrical transmission line is an important issue in power signal transmission and here it is dealt with the regularization theory of ill-posed problems. The integro-differential equation describing the field-induced current into a line of finite length lying over a perfectly conducting soil is solved combining the use of Fourier series expansion and the Landweber algorithm. More precisely, the iterative regularization procedure is applied in order to obtain the value of the Fourier coefficients.