Efficient Analysis of Radiation from a Dipole Source in Woodpile EBG Structures

Vakhtang Jandieri; Silvio Ceccuzzi; Paolo Baccarelli; Giuseppe Schettini; Daniel Erni; Wonbin Hong; Douglas H. Werner; Kiyotoshi Yasumoto

doi:10.1109/TAP.2021.3098578

Efficient Analysis of Radiation from a Dipole Source in Woodpile EBG Structures

Vakhtang Jandieri, Silvio Ceccuzzi, Paolo Baccarelli, Giuseppe Schettini, Daniel Erni, Wonbin Hong, Douglas H. Werner, Kiyotoshi Yasumoto

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Abstract

An efficient and rigorous approach to analyze the radiation from an electric dipole placed in 3-D woodpile electromagnetic bandgap material (EBG) structures consisting of layered periodic arrays of circular cylinders is presented. The response in the spectral domain of the woodpile EBGs excited by a dipole source is calculated using one-dimensional lattice sums, the 3-D transition matrix of a circular cylinder, and the generalized reflection and transmission matrices of the layered system. The closed-form expression of the radiated field is rigorously obtained by a finite integral of the spectral response. Comparisons with the far fields calculated using reciprocity both with the present approach and with a fully independent commercial EM software package are presented showing excellent agreement with the proposed method and demonstrating the high computational efficiency of the semianalytical formalism.

Original language	English (US)
Pages (from-to)	389-400
Number of pages	12
Journal	IEEE Transactions on Antennas and Propagation
Volume	70
Issue number	1
DOIs	https://doi.org/10.1109/TAP.2021.3098578
State	Published - Jan 1 2022

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/TAP.2021.3098578

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title = "Efficient Analysis of Radiation from a Dipole Source in Woodpile EBG Structures",

abstract = "An efficient and rigorous approach to analyze the radiation from an electric dipole placed in 3-D woodpile electromagnetic bandgap material (EBG) structures consisting of layered periodic arrays of circular cylinders is presented. The response in the spectral domain of the woodpile EBGs excited by a dipole source is calculated using one-dimensional lattice sums, the 3-D transition matrix of a circular cylinder, and the generalized reflection and transmission matrices of the layered system. The closed-form expression of the radiated field is rigorously obtained by a finite integral of the spectral response. Comparisons with the far fields calculated using reciprocity both with the present approach and with a fully independent commercial EM software package are presented showing excellent agreement with the proposed method and demonstrating the high computational efficiency of the semianalytical formalism.",

author = "Vakhtang Jandieri and Silvio Ceccuzzi and Paolo Baccarelli and Giuseppe Schettini and Daniel Erni and Wonbin Hong and Werner, {Douglas H.} and Kiyotoshi Yasumoto",

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AU - Jandieri, Vakhtang

AU - Ceccuzzi, Silvio

AU - Baccarelli, Paolo

AU - Schettini, Giuseppe

AU - Erni, Daniel

AU - Hong, Wonbin

AU - Werner, Douglas H.

AU - Yasumoto, Kiyotoshi

PY - 2022/1/1

Y1 - 2022/1/1

N2 - An efficient and rigorous approach to analyze the radiation from an electric dipole placed in 3-D woodpile electromagnetic bandgap material (EBG) structures consisting of layered periodic arrays of circular cylinders is presented. The response in the spectral domain of the woodpile EBGs excited by a dipole source is calculated using one-dimensional lattice sums, the 3-D transition matrix of a circular cylinder, and the generalized reflection and transmission matrices of the layered system. The closed-form expression of the radiated field is rigorously obtained by a finite integral of the spectral response. Comparisons with the far fields calculated using reciprocity both with the present approach and with a fully independent commercial EM software package are presented showing excellent agreement with the proposed method and demonstrating the high computational efficiency of the semianalytical formalism.

AB - An efficient and rigorous approach to analyze the radiation from an electric dipole placed in 3-D woodpile electromagnetic bandgap material (EBG) structures consisting of layered periodic arrays of circular cylinders is presented. The response in the spectral domain of the woodpile EBGs excited by a dipole source is calculated using one-dimensional lattice sums, the 3-D transition matrix of a circular cylinder, and the generalized reflection and transmission matrices of the layered system. The closed-form expression of the radiated field is rigorously obtained by a finite integral of the spectral response. Comparisons with the far fields calculated using reciprocity both with the present approach and with a fully independent commercial EM software package are presented showing excellent agreement with the proposed method and demonstrating the high computational efficiency of the semianalytical formalism.

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Efficient Analysis of Radiation from a Dipole Source in Woodpile EBG Structures

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