A review of some recent methods for the efficient computation of two-dimensional (2-D) periodic Green’s functions in layered dielectric media is presented in this contribution. 2-D periodic vector and scalar mixedpotential Green’s functions for a multilayered environment are derived in the spectral domain first, and then the corresponding spatial-domain quantities are obtained through an efficient sum of spatial harmonics. Numerical acceleration techniques are performed by extracting slowly-converging and singular terms. Kummer-Poisson’s formula and Ewald’s transformations are applied when the sum of the extracted terms is added back and a comparison is performed, which shows the efficiency of the proposed methods for this kind of problems.

Baccarelli, P., Galli, A. (2006). Methods for the accelerated computation of Green’s functions with 2-D periodicity in layered media. In Proceeding "I EuCAP (European Conference on Antennas and Propagation)" (pp.1-6). Eur Space Agency Spec Publ ESA SP [10.1109/EUCAP.2006.4584499].

Methods for the accelerated computation of Green’s functions with 2-D periodicity in layered media

BACCARELLI, PAOLO;GALLI, ALESSANDRO
2006-01-01

Abstract

A review of some recent methods for the efficient computation of two-dimensional (2-D) periodic Green’s functions in layered dielectric media is presented in this contribution. 2-D periodic vector and scalar mixedpotential Green’s functions for a multilayered environment are derived in the spectral domain first, and then the corresponding spatial-domain quantities are obtained through an efficient sum of spatial harmonics. Numerical acceleration techniques are performed by extracting slowly-converging and singular terms. Kummer-Poisson’s formula and Ewald’s transformations are applied when the sum of the extracted terms is added back and a comparison is performed, which shows the efficiency of the proposed methods for this kind of problems.
2006
9789290929376
Baccarelli, P., Galli, A. (2006). Methods for the accelerated computation of Green’s functions with 2-D periodicity in layered media. In Proceeding "I EuCAP (European Conference on Antennas and Propagation)" (pp.1-6). Eur Space Agency Spec Publ ESA SP [10.1109/EUCAP.2006.4584499].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/327855
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