Arbitrarily elliptical–cylindrical invisible cloaking

Jiang, Wei; Cui, Tie Jun; Yu, Guanxia; Lin, Xian Qi; Cheng, Qiang; Chin, Jessie Yao

doi:10.1088/0022-3727/41/19/199801

Cited by 56 publications

(65 citation statements)

References 18 publications

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“…Hence the cartesian coordinates (x, y, z) for any position inside the shell are actually new coordinates (x , y , z ) in the curved space used in Eq. (12). One should be careful on the relation between the original and transformed spaces during the whole field transformation.…”

Section: Field Transformation For Spherical Cloaksmentioning

confidence: 99%

“…As an example, we consider a 3D ellipsoidal cloak, which is an extension of 2D elliptical cloaks [11,12]. Assume that the semi-axes of the inner ellipsoid are a, b and c in the x, y and z directions, and semi-axes of the outer ellipsoid are a 1 , b 1 and c 1 , which satisfy a 1 /a = b 1 /b = c 1 /c.…”

Section: Field Transformation For Arbitarily-shaped 3d Cloaksmentioning

confidence: 99%

“…If a cylindrical region is compressed into a cylindrical shell, one will obtain an ideal two-dimensional (2D) cloak and the object inside the cylindrical shell will become invisible [1]. A number of 2D cloaks with different shapes have been proposed due to various application environments [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

“…Then numerical approaches like the finite-element method (or the commercial software Comsol) and the finite-difference time-domain method have been used to simulate the EM properties numerically [2][3][4][5][6][7][8][9][10][11][12][13][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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Investigations of the Electromagnetic Properties of Three-Dimensional Arbitrarily-Shaped Cloaks

Cheng¹,

Jiang²,

Cui³

2009

PIER

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Abstract-We investigate the electromagnetic properties of threedimensional (3D) arbitrarily-shaped invisible cloaks based on the analytical field transformation theory instead of the complicated numerical simulations. Very simple closed-form expressions for fields and energy flows have been derived for arbitrarily-shaped 3D cloak, which could help us to investigate the electromagnetic properties of the 3D cloaks rapidly and efficiently. The difference between 2D and 3D cloaks have been compared in detail. Distributions of the fields, power flows and wave polarizations for the 3D case have been discussed inside the cloak. Numerical results have been presented at the cutplanes of cloaks to valid the theoretical analysis, which shows clearly how the incident waves are bent at the inner boundary. In order to further reveal the physical essence of the cloaks, both 3D spherical and ellipsoidal cloaks have been considered based on the analytical method. The common features and the differences for the two structures have been also illustrated in this paper.

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Section: Field Transformation For Spherical Cloaksmentioning

confidence: 99%

Section: Field Transformation For Arbitarily-shaped 3d Cloaksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Investigations of the Electromagnetic Properties of Three-Dimensional Arbitrarily-Shaped Cloaks

Cheng¹,

Jiang²,

Cui³

2009

PIER

Self Cite

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“…There exist various cloaking mechanisms, among which is the transformation optics approach [1][2][3][4][5][6][7][8][9][10][11][12][13]. The fundamental idea is the invariance of Maxwell's equations under a space-deforming transformation if the material properties are altered accordingly.…”

Section: Introductionmentioning

confidence: 99%

Polarization-Invariant Directional Cloaking by Transformation Optics

Agarwal¹,

Chen²,

Li³

et al. 2011

PIER

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Abstract-We propose a three-dimensional directional cloak for arbitrarily polarized incoming electromagnetic waves, motivated by the fact that there will be negligible scattering when the direction of impinging wave coincides with the axial direction of a very thin and elongated perfectly electric conducting (PEC) scatterer. The performance of the cloak under different polarizations of incoming waves are numerically investigated. The case in which the direction of incoming wave is perturbed off the ideal direction is also quantitatively studied. Numerical simulations show that the directional cloaking device is able to tolerate a large range of tilted angles of incoming waves.

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Design of wavefronts transformers with complementary media

Chen

Zhu

et al. 2014

Microw. Opt. Technol. Lett.

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Since complementary media was proposed, it is widely used in electromagnetic cloaking. In this work, we realize some other optical devices that deal with wavefronts transformations with complementary media, which have obvious advantages over traditional ones. More importantly, we devise a novel‐shape transformer that can create an illusion source to prevent the real source from being detected accurately. Some of these devices we develop can be realized with isotropic and homogenous materials. Influence of loss on optical performance is also explored. Moreover, the impact of evitable obstacles outside on the properties of these devices can be avoided by adding their complementary “images” inside these devices. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:875–879, 2014

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Arbitrarily elliptical–cylindrical invisible cloaking

Abstract: In this paper, two typo errors are found in equations (7) and (13). The corrected versions are displayed in the PDF file.

Cited by 56 publications

References 18 publications

Investigations of the Electromagnetic Properties of Three-Dimensional Arbitrarily-Shaped Cloaks

Investigations of the Electromagnetic Properties of Three-Dimensional Arbitrarily-Shaped Cloaks

Polarization-Invariant Directional Cloaking by Transformation Optics

Design of wavefronts transformers with complementary media

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