A Rigorous Analysis of Plane-Transformed Invisibility Cloaks

The electromagnetic characteristics of plane-transformed invisibility cloaks are quantitatively studied in this paper. We take elliptical cylindrical cloak as the example, and use an elliptical cylindrical wave expansion method to obtain the scattered field. It is demonstrated that an ideal elliptic...

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Main Authors: Wu, Bae-Ian, Kong, Jin Au, Ran, Lixin, Chen, Hongsheng, Zhang, Jingjing, Luo, Yu
Other Authors: Massachusetts Institute of Technology. Research Laboratory of Electronics
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers 2010
Online Access:http://hdl.handle.net/1721.1/53728
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author Wu, Bae-Ian
Kong, Jin Au
Ran, Lixin
Chen, Hongsheng
Zhang, Jingjing
Luo, Yu
author2 Massachusetts Institute of Technology. Research Laboratory of Electronics
author_facet Massachusetts Institute of Technology. Research Laboratory of Electronics
Wu, Bae-Ian
Kong, Jin Au
Ran, Lixin
Chen, Hongsheng
Zhang, Jingjing
Luo, Yu
author_sort Wu, Bae-Ian
collection MIT
description The electromagnetic characteristics of plane-transformed invisibility cloaks are quantitatively studied in this paper. We take elliptical cylindrical cloak as the example, and use an elliptical cylindrical wave expansion method to obtain the scattered field. It is demonstrated that an ideal elliptical cylindrical cloak is inherently visible. Noticeable field scattering and penetration will be induced when the cloak is exposed directly to an electromagnetic wave. However, as long as the cloak consists of a perfect electric conducting lining at the interior surface, perfect invisibility can still be achieved along the direction parallel to the major axis of the cloak for transverse magnetic illumination. Another plane-transformed cloak with a conical geometry is also proposed. The advantage of this cloak is that all the permittivity and permeability elements are spatially invariant while none of them is singular. Hence, it is easily realizable with artificially structured metamaterials. Finally, the applications of this kind of cloak are discussed.
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spelling mit-1721.1/537282022-09-27T19:24:36Z A Rigorous Analysis of Plane-Transformed Invisibility Cloaks Wu, Bae-Ian Kong, Jin Au Ran, Lixin Chen, Hongsheng Zhang, Jingjing Luo, Yu Massachusetts Institute of Technology. Research Laboratory of Electronics Wu, Bae-Ian Wu, Bae-Ian Kong, Jin Au The electromagnetic characteristics of plane-transformed invisibility cloaks are quantitatively studied in this paper. We take elliptical cylindrical cloak as the example, and use an elliptical cylindrical wave expansion method to obtain the scattered field. It is demonstrated that an ideal elliptical cylindrical cloak is inherently visible. Noticeable field scattering and penetration will be induced when the cloak is exposed directly to an electromagnetic wave. However, as long as the cloak consists of a perfect electric conducting lining at the interior surface, perfect invisibility can still be achieved along the direction parallel to the major axis of the cloak for transverse magnetic illumination. Another plane-transformed cloak with a conical geometry is also proposed. The advantage of this cloak is that all the permittivity and permeability elements are spatially invariant while none of them is singular. Hence, it is easily realizable with artificially structured metamaterials. Finally, the applications of this kind of cloak are discussed. Foundation for the Author of National Excellent Doctoral Dissertation of PR China (Grant 200950) United States. Dept. of the Air Force (Air Force Contract F19628-00-C-0002) United States. Office of Naval Research (Contract N00014-06-1-0001) Ph.D. Programs Foundation of MEC (Grant 200803351025) New Century Excellent Talent Project of the Ministry of Education of China (Grant NCET-07-0750) National Science Foundation of China (Grants 60531020, 60701007, and 60801005) Zhejiang National Science Foundation (Grant R1080320) 2010-04-16T20:04:25Z 2010-04-16T20:04:25Z 2009-12 2009-07 Article http://purl.org/eprint/type/JournalArticle 0018-926X http://hdl.handle.net/1721.1/53728 Yu Luo et al. “A Rigorous Analysis of Plane-Transformed Invisibility Cloaks.” Antennas and Propagation, IEEE Transactions on 57.12 (2009): 3926-3933. © 2009 IEEE en_US http://dx.doi.org/10.1109/tap.2009.2027824 IEEE Transactions on Antennas and Propagation Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE
spellingShingle Wu, Bae-Ian
Kong, Jin Au
Ran, Lixin
Chen, Hongsheng
Zhang, Jingjing
Luo, Yu
A Rigorous Analysis of Plane-Transformed Invisibility Cloaks
title A Rigorous Analysis of Plane-Transformed Invisibility Cloaks
title_full A Rigorous Analysis of Plane-Transformed Invisibility Cloaks
title_fullStr A Rigorous Analysis of Plane-Transformed Invisibility Cloaks
title_full_unstemmed A Rigorous Analysis of Plane-Transformed Invisibility Cloaks
title_short A Rigorous Analysis of Plane-Transformed Invisibility Cloaks
title_sort rigorous analysis of plane transformed invisibility cloaks
url http://hdl.handle.net/1721.1/53728
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