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Exact Evaluation of a Sommerfeld Integral for the Impedance Half-Plane Problem  

Koh Il-Suek (The Graduate School of Information Technology and Telecommunication, Inha University)
Publication Information
The Journal of Korean Institute of Electromagnetic Engineering and Science / v.17, no.8, 2006 , pp. 788-794 More about this Journal
Abstract
In this paper, a Sommerfeld integral for an impedance half-plane is considered, which is one of classical problems in electromagnetic theory. First, the integral is evaluated into two series representations which are expressed in terms of exponential integral and Lommel function, respectively. Then based on the Lommel function expansion, an exact, closed-form expression of the integral is formulated, written in terms of incomplete Weber integrals. Additionally, based on the exponential integral expansion, an approximate expression of the integral is obtained. Validity of all formulations derived in this paper is demonstrated through comparisons with a numerical integration of the integral for various situations.
Keywords
Sommerfeld Integral; Impedance Half-Plane; Dyadic Green's Function;
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