Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Software metamaterials: Transformation media based multi-scale techniques for computational electromagnetics
Date
2013-03-01
Author
Ozgun, Ozlem
Kuzuoğlu, Mustafa
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
226
views
0
downloads
Cite This
This paper presents computational models employing special transformation-based media-which we call software metamaterials-for the purpose of enhancing the ability of numerical modeling methods for solving multi-scale electromagnetic boundary value problems involving features with multiple length or frequency scales or both. The multi-scale problems, in general, suffer from difficulties in mesh generation and the number of unknowns due to certain meshing requirements dictated by the fine features of the problem. The underlying idea in this study is to introduce transformation media into the computational domain of the finite element method (or finite difference methods) in order to allow uniform and easy-to-generate meshes by avoiding mesh refinement, and therefore, to develop efficient and simple computer-aided simulation tools. In other words, a virtual equivalent problem is created, which acts like the original problem. The techniques proposed in this paper are validated via several finite element simulations in the context of TMz electromagnetic scattering problems. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
Subject Keywords
Metamaterials
,
Coordinate transformation
,
Electromagnetic scattering
,
Finite element method
,
Multi-scale
,
Transformation electromagnetics
,
Transformation medium
URI
https://hdl.handle.net/11511/46297
Journal
JOURNAL OF COMPUTATIONAL PHYSICS
DOI
https://doi.org/10.1016/j.jcp.2012.11.015
Collections
Department of Electrical and Electronics Engineering, Article
Suggestions
OpenMETU
Core
Combining perturbation theory and transformation electromagnetics for finite element solution of Helmholtz-type scattering problems
Kuzuoğlu, Mustafa (2014-10-01)
A numerical method is proposed for efficient solution of scattering from objects with weakly perturbed surfaces by combining the perturbation theory, transformation electro-magnetics and the finite element method. A transformation medium layer is designed over the smooth surface, and the material parameters of the medium are determined by means of a coordinate transformation that maps the smooth surface to the perturbed surface. The perturbed fields within the domain are computed by employing the material p...
A Transformation Media Based Approach for Efficient Monte Carlo Analysis of Scattering From Rough Surfaces With Objects
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2013-03-01)
This paper presents a computational model that utilizes transformation-based metamaterials to enhance the performance of numerical modeling methods for achieving the statistical characterization of two-dimensional electromagnetic scattering from objects on or above one-dimensional rough sea surfaces. Monte Carlo simulation of the rough surface scattering problem by means of differential equation-based finite methods (such as finite element or finite difference methods) usually places a heavy burden on compu...
Numerical Solution of Multi-scale Electromagnetic Boundary Value Problems by Utilizing Transformation-Based Metamaterials
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2011-06-23)
We present numerical solution techniques for efficiently handling multi-scale electromagnetic boundary value problems having fine geometrical details or features, by utilizing spatial coordinate transformations. The principle idea is to modify the computational domain of the finite methods (such as the finite element or finite difference methods) by suitably placing anisotropic metamaterial structures whose material parameters are obtained by coordinate transformations, and hence, to devise easier and effic...
Remesh-Free Shape Optimization by Transformation Optics
ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-12-01)
A remesh-free numerical method is developed for shape optimization problem by combining the transformation optics approach, the finite element method, and the genetic optimization algorithm. To overcome cumbersome remeshing processes, transformation media are designed within the elements where the contour of the object passes. A simple rectangular mesh is used and only the material parameters of the media are redefined according to the scatterer contour that is represented by B-spline curves. The proposed a...
Modeling Electromagnetic Scattering from Random Array of Objects by Form Invariance of Maxwell's Equations
ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2015-07-24)
Electromagnetic scattering from a random array of objects is modeled by using special coordinate transformations that are based on the form invariance property of Maxwell's equations. The main motivation is to perform multiple realizations of Monte Carlo simulations corresponding to different positions of objects in an efficient way by using a single mesh. This is achieved by locating transformation media within the computational domain. The proposed approach is applied to finite element method and tested b...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
O. Ozgun and M. Kuzuoğlu, “Software metamaterials: Transformation media based multi-scale techniques for computational electromagnetics,”
JOURNAL OF COMPUTATIONAL PHYSICS
, pp. 203–219, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46297.