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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
