Material parameter equation for elliptical cylindrical cloaks

Ma, Hua; Qu, Shaobo; Xu, Zhuo; Zhang, Jieqiu; Chen, Biwu; Wang, Jiafu

doi:10.1103/physreva.77.013825

Cited by 102 publications

(70 citation statements)

References 10 publications

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“…One has diagonal ε i j and μ i j in orthonormal ellipticcylindrical coordinates [45,46], and in the other ε i j and μ i j are nondiagonal in Cartesian coordinates [47,48]. We derive a FDTD formulation for the latter in the transverse magnetic (TM) polarization.…”

Section: Fdtd Formulation Of the Elliptic-cylindrical Cloakmentioning

confidence: 99%

FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

Okada

Cole

2012

ISRN Optics

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We demonstrate a finite-difference time-domain (FDTD) modeling of a cloak with a nondiagonal permittivity tensor. Numerical instability due to material anisotropies is avoided by mapping the eigenvalues of the material parameters to a dispersion model. Our approach is implemented for an elliptic-cylindrical cloak in two dimensions. Numerical simulations demonstrated the stable calculation and cloaking performance of the elliptic-cylindrical cloak.

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Section: Fdtd Formulation Of the Elliptic-cylindrical Cloakmentioning

confidence: 99%

FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

Okada

Cole

2012

ISRN Optics

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“…Based on the coordinate transformation method various cloaking shapes have been proposed, such as cross section case (2-D) circular cylinders [9][10][11], squares [12], elliptic [13], tessellated and stellated [14], arbitrary N-sided regular polygonal [15], trapeziform [16], and 3-D ellipsoidal, toroids [17], and arbitrary shape cloaks [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

A New Three-Dimensional Conical Ground-Plane Cloak With Homogeneous Materials

Taravati¹,

Abdolali

2011

PIER M

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Abstract-A new three dimensional conical ground plane electromagnetic cloak is proposed and designed based on the coordinate transformation of Maxwell's equations. Material parameters of the conical invisible cloak are derived which have simple form and lesser inhomogeneity compared with other 3-dimensional cloaks. Because of convenient form of the constitutive tensors of the conical cloak, we propose a new strategy for homogeneous approximation of the materials of the cloaks. Numerical simulations confirm that approximation with eight slices, is more than enough and this cloak can hide any object on the ground as well as inhomogeneous ones.

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“…The invisibility cloak is the most attracting topics. Cloaks with all kinds of shapes have been designed [3,[7][8][9][10]. Specifically, a cylindrical cloak with arbitrary cross section has been given in [10], which has been extended to design the perfect electrical conductor (PEC) reshaper [11] and other devices with arbitrary cross sections.…”

Section: Introductionmentioning

confidence: 99%