NDLI: Efficient computation of the quasi-static effective permittivity for non-cubical periodic lattices

Content Provider	IEEE Xplore Digital Library
Author	Silveirinha, M.G.M.V. Fernandes, C.A.
Copyright Year	2001
Description	Author affiliation: Instituto de Telecomunicacoes, Instituto Superior Tecnico, Lisbon, Portugal (Silveirinha, M.G.M.V.)
Abstract	Artificial dielectrics are being studied in relation with the fabrication of lens antennas for shaped-beam applications. We present an efficient computational method for the calculation of the effective media parameters for non-cubical periodic lattices. This problem can be reduced to an integral equation, where the effect of the interaction of the neighboring inclusions is taken into account by replacing the free space kernel (electric potential due to a unity charge), by an infinite sum of electric potentials. The main contribution of our study is to recognize, that if we add to the previous kernel another term, we will obtain a periodic function. This approach has the following advantages: first, the computational effort to solve the integral equation is greatly reduced, and furthermore the effect of arbitrarily high distance inclusions can be taken into account without appreciable increase in the computation time. This is not true for the standard approach, where the computation time grows with (2N)/sup 3,/ N being the side of the cube containing the indices of the inclusions taken into account. Secondly, with our formulation it is possible to calculate unambiguously the interaction constants for the periodic lattice.
Starting Page	312
Ending Page	315
File Size	174656
Page Count	4
File Format	PDF
ISBN	0780370708
DOI	10.1109/APS.2001.958855
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-07-08
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Permittivity Lattices Conducting materials Dielectric materials Performance analysis Integral equations Kernel Electric potential Telecommunication computing Fabrication
Content Type	Text
Resource Type	Article

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