A Note on the Poisson Summation Formula and its Application to Electromagnetic Problems Involving Cylindrical Coordinates

Authors

ANASTASSIOS H. PANARETOS
HRISTOS T. ANASTASSIU
DIMITRA I. KAKLAMANI

DOI

-

Abstract

A modified version of the Poisson Summation Formula is derived,involving the Fourier-Bessel Transform of the kernel function, as opposed to the conventional Fourier Transform engaged in the standard formula. This novel form can be applied to problems employing cylindrical coordinates, such as the fast evaluation of the dyadic Green's function in a waveguide or cavity of circular cross-section.

Keywords

Poisson summation formula, electromagnetic problems, cylindrical coordinates, dyadic Green Functions

First Page

377

Last Page

384

Recommended Citation

PANARETOS, ANASTASSIOS H.; ANASTASSIU, HRISTOS T.; and KAKLAMANI, DIMITRA I. (2002) "A Note on the Poisson Summation Formula and its Application to Electromagnetic Problems Involving Cylindrical Coordinates," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 10: No. 2, Article 17. Available at: https://journals.tubitak.gov.tr/elektrik/vol10/iss2/17