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PIER PIER B PIER C PIER M PIER Letters
2008-02-05
Electromagnetic Field of a Horizontal Electric Dipole in the Presence of a Four-Layered Region
By
Yi Hui Xu,

    Dr. Yi Hui Xu

    The Electromagnetics Academy at Zhejiang

    Zhejiang University

    China

    Homepage

Kai Li,

    Prof. Kai Li

    Department of Information Science & Electrionic Engineering

    Zhejiang University

    China

    Homepage

Liang Liu

    Dr. Liang Liu

    Electromagnetics Academy

    Zhejiang University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 81, 371-391, 2008
doi:10.2528/PIER08012303
Abstract
In this paper, we study in detail the electromagnetic field excited by a horizontal electric dipole in the presence of a four-layered region, which consists of a perfect conductor, the two dielectric layers, and air above. From the derivations and analysis, it is seen that the electromagnetic field includes four wave modes: Direct wave, ideal reflected wave, trapped surface wave, and lateral wave. The wave numbers of the trapped surface wave, which are determined by the residues of the poles, are between the wave number k0 in the air and k2 in the lower dielectric layer. The lateral waves with the wave number being k0 are determined by the integrations along the branch cuts. It should be pointed out that both the trapped surface wave and lateral wave can be separated into the electric-type terms and magnetic-type terms. Analysis and computations show that the trapped surface waves play major roles at large propagation distance when both the dipole point and the observation point are on or close to the air-dielectric boundary.
Citation
Yi Hui Xu, Kai Li, and Liang Liu, "Electromagnetic Field of a Horizontal Electric Dipole in the Presence of a Four-Layered Region," Progress In Electromagnetics Research, Vol. 81, 371-391, 2008.
doi:10.2528/PIER08012303
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