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Title: Accelerated Cartesian expansions for the rapid solution of periodic multiscale problems

We present an algorithm for the fast and efficient solution of integral equations that arise in the analysis of scattering from periodic arrays of PEC objects, such as multiband frequency selective surfaces (FSS) or metamaterial structures. Our approach relies upon the method of Accelerated Cartesian Expansions (ACE) to rapidly evaluate the requisite potential integrals. ACE is analogous to FMM in that it can be used to accelerate the matrix vector product used in the solution of systems discretized using MoM. Here, ACE provides linear scaling in both CPU time and memory. Details regarding the implementation of this method within the context of periodic systems are provided, as well as results that establish error convergence and scalability. In addition, we also demonstrate the applicability of this algorithm by studying several exemplary electrically dense systems.
Authors:
 [1] ;  [1] ;  [1]
  1. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
OSTI Identifier:
1252694
Report Number(s):
SAND--2016-1049J
Journal ID: ISSN 0018-926X; 619142
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
IEEE Transactions on Antennas and Propagation
Additional Journal Information:
Journal Volume: 60; Journal Issue: 9; Journal ID: ISSN 0018-926X
Publisher:
IEEE
Research Org:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
fast methods; integral equations; periodic structures; frequency; selective surfaces