Application of the fast Fourier transform to the computation of the Sommerfeld integral for a vertical electric dipole above a half-space

Author

Dvorak, Steven L.

Author_Institution

Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ, USA

Volume

40

Issue

7

fYear

1992

fDate

7/1/1992 12:00:00 AM

Firstpage

798

Lastpage

805

Abstract

The fast Fourier transform (FFT) is used in conjunction with analytical techniques to obtain an approximate expression for the Sommerfeld integral associated with a vertical electric dipole above a half-space. The resulting expression, which is an analytic function of the source and observation locations, can be used in lieu of a numerical integration of the Sommerfeld integral. It can be used in either the near zone or the far zone, and it can even be applied for observation angles close to grazing. The accuracy of the expansion directly depends on the number of terms used in the FFT. Results obtained using the expansion are compared with those obtained both from a direct numerical integration of the Sommerfeld integral and the reflection coefficient method

Keywords

antenna theory; dipole antennas; fast Fourier transforms; FFT; Sommerfeld integral; analytic function; dipole antenna; direct numerical integration; far zone; fast Fourier transform; half-space; near zone; reflection coefficient method; vertical electric dipole; Electromagnetic analysis; Electromagnetic radiation; Electromagnetic reflection; Electromagnetic scattering; Fast Fourier transforms; Geometry; Microwave integrated circuits; Microwave theory and techniques; Millimeter wave integrated circuits; Millimeter wave technology;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.155745

Filename

155745