A new algorithm for exponential approximation of Sommerfeld integrals

Abstract

The accurate numerical computing of infinite Sommerfeld integrals is difficult and time-consuming. In this paper, a new algorithm for numerical approximation of the Sommerfeld integrals is presented. The kernel functions of the Sommerfeld integrals are approximated using the linear combination of 15 exponential functions. Using these approximations of the kernel functions and analytical integration based on Weber integral, a simple expression for numerical approximation of Sommerfeld integrals is given.

Slavko Vujević

Professor Emeritus

An expert in electrical engineering, particularly known for his contributions to numerical modeling of electromagnetic phenomena, lightning protection, and grounding. Throughout his career, he was a key member of the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split, where he taught, mentored students, and actively participated in scientific research and international professional organizations.