Periodicity-induced generalized Fourier transform pair

Author

Capolino, Filippo

Author_Institution

Departimentio di Ingegneria dell´´Informazione, Siena Univ., Italy

Volume

50

Issue

8

fYear

2002

fDate

8/1/2002 12:00:00 AM

Firstpage

1167

Lastpage

1169

Abstract

The field radiated by an infinite periodic structure can be expressed in terms of Floquet waves (FWs), both in the frequency domain (FD) and time domain (TD) (see Felsen, L.B. and Capolino, F., IEEE Trans. Antennas Propagat., vol.48, p.921-31, 2000). A new periodicity-induced generalized Fourier transform (FT) pair is derived relating FD-FWs to TD-FWs and vice versa, based on tabulated transforms and physical conditions at infinity. The new FTs are directly related to the simple canonical problem of a line array of sequentially excited dipoles that is a basic building block for more general phased periodic structures.

Keywords

Fourier transforms; antenna theory; dipole antenna arrays; electromagnetic field theory; frequency-domain analysis; periodic structures; time-domain analysis; Floquet waves; frequency domain; generalized Fourier transform pair; infinite periodic structure; line array; phased periodic structures; sequentially excited dipoles; time domain; Councils; Dispersion; Fourier transforms; Frequency domain analysis; Green function; H infinity control; Periodic structures; Phased arrays; Scattering; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2002.801395

Filename

1035010