On the existence of the Sommerfeld integral pole and its contribution to the electromagnetic field

Author

Nevels, Robert D. ; Michalski, Krzysztof A.

Author_Institution

Dept. of ECEN, Texas A&M Univ., College Station, TX, USA

fYear

2014

fDate

6-11 July 2014

Firstpage

619

Lastpage

620

Abstract

Evidence for the existence of a complex plane pole in the Sommerfeld integral for a source in air over a dielectric half-space and its contribution to the electromagnetic field is addressed. We present a detailed analysis of a simple model whereby a magnetic line source lies on the interface of the air-dielectric boundary. It is demonstrated that a Sommerfeld pole does indeed exist and that this pole can account for surface and lateral waves. It is also shown that a space wave is accounted for by the Sommerfeld integral branch cut.

Keywords

electromagnetic fields; integral equations; Sommerfeld integral branch cut; Sommerfeld integral pole; air-dielectric boundary; complex plane pole existence; dielectric half-space; electromagnetic field; lateral waves; magnetic line source; space wave; surface waves; Dielectrics; Electromagnetic fields; Magnetic analysis; Permittivity; Plasmons; Sea surface; Surface waves; Sommerfeld integral; lateral wave; space wave; surface plasmon; surface wave;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium (APSURSI), 2014 IEEE

Conference_Location

Memphis, TN

ISSN

1522-3965

Print_ISBN

978-1-4799-3538-3

Type

conf

DOI

10.1109/APS.2014.6904640

Filename

6904640