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Analysis of elliptical structures with constant axial ratio by Body-of-Revolution Finite Element Method and Transformation Optics

Published online by Cambridge University Press:  04 March 2019

G. G. Gentili Open the ORCID record for G. G. Gentili [Opens in a new window] ,
M. Khosronejad ,
G. Pelosi  and
S. Selleri
G. G. Gentili*
Affiliation:
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, p.za L. da Vinci 32, Milano, Italy
M. Khosronejad
Affiliation:
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, p.za L. da Vinci 32, Milano, Italy
G. Pelosi
Affiliation:
Dipartimento di Ingegneria dell' Informazione, Università di Firenze, Firenze 50139, Italy
S. Selleri
Affiliation:
Dipartimento di Ingegneria dell' Informazione, Università di Firenze, Firenze 50139, Italy
*
Author for correspondence: G.G. Gentili E-mail:gianguido.gentili@polimi.it
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Abstract

This paper describes a method to analyze open or closed elliptical structures with constant axial ratio by a Body-of-Revolution (BoR) Finite Element Method (FEM). The method is based on Transformation Optics, a coordinate transformation that maps the elliptical shape to a circular shape, for which BoR-FEM represents a greatly efficient tool for the analysis.

Keywords

Finite Element Methodelliptical hornsBody-of-Revolution
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 11 , Special Issue 5-6: EuMW 2018 Special Issue (Part I) , June 2019 , pp. 501 - 508
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2019 

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References

1Pelosi, G, Coccioli, R and Selleri, S (2009) Quick finite elements for electromagnetic waves, 2nd edn. Boston, MA: Artech House.Google Scholar
2Greenwood, AD and Jin, J-M (1999) A novel efficient algorithm for scattering from a complex BOR using mixed finite elements and cylindrical PML. IEEE Transactions on Antennas and Propagation 47, 620–629.10.1109/8.768800Google Scholar
3Gentili, GG, Bolli, P, Nesti, R, Pelosi, G and Toso, L (2007) High-order FEM mode matching analysis of circular horns with rotationally symmetric dielectrics. IEEE Transactions on Antennas and Propagation 55, 2915–2918.Google Scholar
4Gentili, GG, Accatino, L and Bertin, G (2016) The generalized 2.5-D finite-element method for analysis of waveguide components. IEEE Transactions on Microwave Theory and Techniques 64, 2392–2400.10.1109/TMTT.2016.2586940Google Scholar
5Gentili, GG, Khosronejad, M, , Nesti, R, Pelosi, G and Selleri, S (2018) An efficient 2.5-D finite-element approach based on transformation optics for the analysis of elliptical horns. IEEE Transactions on Antennas and Propagation 66, 4782–4790.10.1109/TAP.2018.2851289Google Scholar
6Kundtz, NB, Smith, DR and Pendry, JB (2011) Electromagnetic design with transformation optics. Proceedings of the IEEE 99, 1622–1633.Google Scholar
7Ma, HF and Cui, TJ (2010) Three-dimensional broadband and broad-angle transformation-optics lens. Nature communications 1, 124.Google Scholar
8Quevedo-Teruel, O, Tang, W, Mitchell-Thomas, RC, Dyke, A, Dyke, H, Zhang, L, Haq, S and Hao, Y (2013) Transformation optics for antennas: why limit the bandwidth with metamaterials? Scientific Reports 3, article number 1903, pp. 1–5.Google Scholar
9Mateo-Segura, C, Dyke, A, Dyke, H, Haq, S and Hao, Y (2014) Flat Luneburg lens via transformation optics for directive antenna applications. IEEE Transactions on Antennas and Propagation 62 1945–1953.10.1109/TAP.2014.2302004Google Scholar
10Keivaan, A, Fakheri, MH, Abdolali, A and Oraizi, H (2017) Design of coating materials for cloaking and directivity enhancement of cylindrical antennas using transformation optics. IEEE Antennas and Wireless Propagation Letters 16 3122–3125.Google Scholar
11Schurig, D, Mock, JJ, Justice, BJ, Cummer, SA, Pendry, JB, Starr, AF and Smith, DR (2006) Metamaterial electromagnetic cloak at microwave frequencies. Science 314 977.Google Scholar
12Ma, HF, Jiang, WX, Yang, XM, Zhou, XY and Cui, TJ (2009) Compact-sized and broadband carpet cloak and free-space cloak. Optics Express 17 19947–19959.Google Scholar
13Mitchell-Thomas, RC, Ebrahimpouri, M and Quevedo-Teruel, O (2015) Altering antenna radiation properties with transformation optics, 9th European Conference on Antennas and Propagation (EuCAP), Lisbon, 2015, pp. 1–2.Google Scholar
14Kwon, D (2012) Quasi-conformal transformation optics lenses for conformal arrays. IEEE Antennas and Wireless Propagation Letters 11 1125–1128.Google Scholar
15Clarricoats, PJB and Olver, AD (1984) Corrugated Horns for Microwave Antennas, vol. 18, IEE Electromagnetic waves series. London, UK: Peter Peregrinus Ltd.Google Scholar
16Tomassoni, C, Mongiardo, M, Kuhn, E and Omar, AS (2001) Generalized Multipole Technique – Mode-Matching Technique Hybrid Method for Elliptical Stepped Horn Antennas Analysis, 31st European Microwave Conference, London, England, 2001, pp. 1–4.Google Scholar
17Teixeira, FL and Chew, WC (1997) Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates. IEEE Microwave and Guided Wave Letters 7, 371–373.Google Scholar
18Yang, W, Li, K and Li, K (2017) A parallel solving method for blocktridiagonal equations on CPU-GPU heterogeneous computing systems. Journal of Supercomputing 73, 1760–1781.Google Scholar
19Love, AEH (1901) The integration of equations of propagation of electric waves. Philosophical Transactions of the Royal Society, London, Series A 197 1–45.Google Scholar
20Gentili, GG, Nesti, R, Pelosi, G and Selleri, S (2017) A perturbative approach for the determination of modes in slightly elliptical waveguides. 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), Verona, 2017, pp. 653–656.Google Scholar
21Gentili, GG, Pelosi, G and Selleri, S (2015) A line integral perturbative approach to the computation of cutoff frequencies in deformed waveguides. IEEE Microwave and Wireless Components Letters 25, 421–423.Google Scholar