Title :
An exact analytical procedure to evaluate Sommerfeld integrals in layered media problems
Author :
Rao, Sadasiva M. ; Division, Radar ; Chatterjee, Debangshu
Author_Institution :
Naval Res. Lab., Washington, DC, USA
Abstract :
In this work, we develop a comprehensive numerical method to evaluate the Sommerfeld Integrals appearing in layered media problems using simple algebraic functions which enable closed form integration. The resulting algorithm is much simpler than the conventional discrete complex image method. Detailed mathematical steps are enumerated for evaluating Sommerfeld integrals involving zero-order and first-order Bessel functions and can be extended to higher-order functions easily.
Keywords :
Bessel functions; algebra; electromagnetic field theory; electromagnetic waves; inhomogeneous media; integral equations; integration; Sommerfeld integral evaluation; algebraic functions; closed form integration; exact analytical procedure; first-order functions; higher-order functions; layered media problems; mathematical steps; numerical method; zero-order Bessel functions; Cities and towns; Equations; Laboratories; Nonhomogeneous media; Silicon; Slabs; Transmission line matrix methods;
Conference_Titel :
Antennas and Propagation Society International Symposium (APSURSI), 2013 IEEE
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-4673-5315-1
DOI :
10.1109/APS.2013.6711322
