The use of the regularization theory for the analysis of the field-to-line coupling problem

In this paper, an effective approach to analyze the coupling between high-frequency electromagnetic fields and transmission lines is presented. The algorithm, implemented in the frequency domain, consists of solving the integro-differential equation that relates the incident electric field with the current induced into the line. The unknown current is expressed by means of a Fourier series whose coefficients are calculated applying the Landweber method. The use of such method makes it possible to face both measurement and parametric uncertainties, since it has been developed and is widely used to solve inverse problems that are typically ill-posed. The obtained results are compared with the ones provided by the Numerical Electromagnetics Code (NEC) and an excellent agreement is obtained.