naa a22 4500 510817017 CHVBK 20180411083512.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s11468-012-9410-0 doi (NATIONALLICENCE)springer-10.1007/s11468-012-9410-0 Efficient Higher Order Full-Wave Numerical Analysis of 3-D Cloaking Structures [Elektronische Daten] [Slobodan Savić, Ana Manić, Milan Ilić, Branislav Notaroš] Highly efficient and versatile computational electromagnetic analysis of 3-D transformation-based metamaterial cloaking structures based on a hybridization of a higher order finite element method for discretization of the cloaking region and a higher order method of moments for numerical termination of the computational domain is proposed and demonstrated. The technique allows for an effective modeling of the continuously inhomogeneous anisotropic cloaking region, for cloaks based on both linear and nonlinear coordinate transformations, using a very small number of large curved finite elements with continuous spatial variations of permittivity and permeability tensors and high-order p-refined field approximations throughout their volumes, with a very small total number of unknowns. In analysis, there is no need for a discretization of the permittivity and permeability profiles of the cloak, namely for piecewise homogeneous (layered) approximate models, with material tensors replaced by appropriate piecewise constant approximations. Numerical results show a very significant reduction (three to five orders of magnitude for the simplest possible 6-element model and five to seven orders of magnitude for an h-refined 24-element model) in the scattering cross section of a perfectly conducting sphere with a metamaterial cloak, in a broad range of wavelengths. Given the introduced explicit approximations in modeling of the spherical geometry and continuous material tensor profiles (both by fourth-order Lagrange interpolating functions), and inherent numerical approximations involved in the finite element and moment method techniques and codes, the cloaking effects are shown to be predicted rather accurately by the full-wave numerical analysis method. Springer Science+Business Media, LLC, 2012 Numerical analysis nationallicence 3-D invisibility cloaks nationallicence Transformation optics nationallicence Scattering nationallicence Metamaterials nationallicence Higher order methods nationallicence Savić Slobodan School of Electrical Engineering, University of Belgrade, 11120, Belgrade, Serbia aut Manić Ana Department of Electrical and Computer Engineering, Colorado State University, 80523-1373, Fort Collins, CO, USA aut Ilić Milan School of Electrical Engineering, University of Belgrade, 11120, Belgrade, Serbia aut Notaroš Branislav Department of Electrical and Computer Engineering, Colorado State University, 80523-1373, Fort Collins, CO, USA aut Plasmonics Springer US; http://www.springer-ny.com 8/2(2013-06-01), 455-463 1557-1955 8:2<455 2013 8 11468 https://doi.org/10.1007/s11468-012-9410-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11468-012-9410-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Savić Slobodan School of Electrical Engineering, University of Belgrade, 11120, Belgrade, Serbia aut NATIONALLICENCE 700 1- Manić Ana Department of Electrical and Computer Engineering, Colorado State University, 80523-1373, Fort Collins, CO, USA aut NATIONALLICENCE 700 1- Ilić Milan School of Electrical Engineering, University of Belgrade, 11120, Belgrade, Serbia aut NATIONALLICENCE 700 1- Notaroš Branislav Department of Electrical and Computer Engineering, Colorado State University, 80523-1373, Fort Collins, CO, USA aut NATIONALLICENCE 773 0- Plasmonics Springer US; http://www.springer-ny.com 8/2(2013-06-01), 455-463 1557-1955 8:2<455 2013 8 11468 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer