## Conformal cubical 3D transformation-based metamaterial invisibility cloak |

JOSA A, Vol. 30, Issue 1, pp. 7-12 (2013)

http://dx.doi.org/10.1364/JOSAA.30.000007

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### Abstract

A conformal cubical transformation-based metamaterial invisibility cloak is presented and verified, in the near and the far field, by a rigorous full-wave numerical technique based on a higher-order, large-domain finite element method, employing large anisotropic, continuously inhomogeneous generalized hexahedral finite elements, with no need for discretization of the permittivity and permeability profiles of the cloak. The analysis requires about 30 times fewer unknowns than with commercial software. To our knowledge, this is the first conformal cubical cloak and the first full-wave computational characterization of such a structure with sharp edges. The presented methodology can also be used in development of conformal, transformation-based perfectly matched layers.

© 2012 Optical Society of America

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(260.2110) Physical optics : Electromagnetic optics

(230.3205) Optical devices : Invisibility cloaks

(290.5839) Scattering : Scattering, invisibility

**ToC Category:**

Optical Devices

**History**

Original Manuscript: August 7, 2012

Manuscript Accepted: November 7, 2012

Published: December 7, 2012

**Citation**

Slobodan V. Savić, Branislav M. Notaroš, and Milan M. Ilić, "Conformal cubical 3D transformation-based metamaterial invisibility cloak," J. Opt. Soc. Am. A **30**, 7-12 (2013)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-1-7

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### References

- S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E 74, 036621 (2006). [CrossRef]
- J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006). [CrossRef]
- S. V. Savić, A. B. Manić, M. M. Ilić, and B. M. Notaroš, “Efficient higher order full-wave numerical analysis of 3-D cloaking structures,” Plasmonics, online first, doi: 10.1007/s11468-012-9410-0 (posted 08 July 2012). [CrossRef]
- H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 063903–063904 (2007). [CrossRef]
- F.-Y. Meng, Y. Liang, Q. Wu, and L.-W. Li, “Invisibility of a metamaterial cloak illuminated by spherical electromagnetic wave,” Appl. Phys. A 95, 881–888 (2009). [CrossRef]
- D.-H. Kwon and D. H. Werner, “Transformation electromagnetics: an overview of the theory and applications,” IEEE Antennas Propag. Mag. 52(1), 24–46 (2010). [CrossRef]
- J. Pendry, “Taking the wraps off cloaking,” Physics 2, 95 (2009). [CrossRef]
- H. Ma, S. Qu, Z. Xu, and J. Wang, “Approximation approach of designing practical cloaks with arbitrary shapes,” Opt. Express 16, 15449–15454 (2008). [CrossRef]
- Y. You, G. W. Kattawar, P.-W. Zhai, and P. Yang, “Invisibility cloaks for irregular particles using coordinate transformations,” Opt. Express 16, 6134–6145 (2008). [CrossRef]
- M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008). [CrossRef]
- Y. Huang, Y. Feng, and T. Jiang, “Electromagnetic cloaking by layered structure of homogeneous isotropic materials,” Opt. Express 15, 11133–11141 (2007). [CrossRef]
- B. Zhang, H. Chen, and B.-I. Wu, “Limitations of high-order transformation and incident angle on simplified invisibility cloaks,” Opt. Express 16, 14655–14660 (2008). [CrossRef]
- D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14, 9794–9804 (2006). [CrossRef]
- M. M. Ilić, A. Ž. Ilić, and B. M. Notaroš, “Continuously inhomogeneous higher order finite elements for 3-D electromagnetic analysis,” IEEE Trans. Antennas Propag. 57, 2798–2803 (2009). [CrossRef]
- A. B. Manić, S. B. Manić, M. M. Ilić, and B. M. Notaroš, “Large anisotropic inhomogeneous higher order hierarchical generalized hexahedral finite elements for 3-D electromagnetic modeling of scattering and waveguide structures,” Microw. Opt. Technol. Lett. 54, 1644–1649 (2012). [CrossRef]
- M. M. Ilić and B. M. Notaroš, “Higher order hierarchical curved hexahedral vector finite elements for electromagnetic modeling,” IEEE Trans. Microw. Theor. Tech. 51, 1026–1033 (2003). [CrossRef]
- M. Djordjević and B. M. Notaroš, “Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatterers,” IEEE Trans. Antennas Propag. 52, 2118–2129 (2004). [CrossRef]
- M. M. Ilić, M. Djordjević, A. Ž. Ilić, and B. M. Notaroš, “Higher order hybrid FEM–MoM technique for analysis of antennas and scatterers,” IEEE Trans. Antennas Propag. 57, 1452–1460 (2009). [CrossRef]

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