Exact analytical approaches for elliptic cylindrical invisibility cloaks

Cojocaru, E.

doi:10.1364/josab.26.001119

Cited by 22 publications

(23 citation statements)

References 19 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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“…Elliptical electromagnetic cloaks have been studied by several groups [8][9][10][11][12]. Here we design an elliptical quantum cloak.…”

Section: A Elliptical Quantum Cloakmentioning

confidence: 99%

“…Periodic Mathieu functions of the first kind, ce r (v,q) and se r (v,q), are the solutions of Eq. (12). Similarly, we have even or odd periodicity defined by odd or even r. c can be given by the linear combination of these two kinds of Mathieu functions.…”

Section: A Elliptical Quantum Cloakmentioning

confidence: 99%

Multidimensional transformation design method for matter waves

Chen

Lin

2012

Phys. Rev. A

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A multidimensional transformation design method that allows us to design a cloaking shell of multivariables for matter waves is proposed. As applications, cloaking shells for an elliptical invisible region, a region specified by the radial and angular variables, and an invisible region specified by the polar angle for the Coulomb scattering wave have been designed. It is shown that the mass parameters required for a perfect cloaking of a matter wave in the elliptical coordinate system are constant.

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“…Lossless cloaking devices have been modeled analytically for spherical and cylindrical shapes [2,3] and elliptic cylindrical cloaks [19,20]. On the other hand, for numerical analysis, the full-wave finite-element-method (FEM)-based commercial simulation package COMSOL Multiphysics has been widely used for the numerical modeling of various cloaks and the validation of theoretical predictions [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Dispersive full-wave finite-difference time-domain analysis of the bipolar cylindrical cloak based on the effective medium approach

Lee

Ahn

2012

J. Opt. Soc. Am. B

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A dispersive full-wave finite-difference time-domain model is used to study the performance of bipolar cylindrical invisibility cloaking devices. We have considered two different cloaking structures generated by the mapping of the σ axis and the mapping of the τ axis of bipolar coordinates. The permittivity and permeability tensors for the cloaking devices are obtained from an effective medium approach in general relativity. The σ-axis mapped bipolar cylindrical cloak is found to be imperfect, and the cloaking performance is found to depend on the polarization of the incident waves, the direction of propagation of the waves, and the loss tangents of the metamaterial. Only the case of TM waves for the specific propagation direction shows good cloaking performance. On the other hand, the τ-mapped cloaking device shows good cloaking performance for all polarizations and directions of propagation. However, this structure has a singular boundary at the inner radius. Realistic cloaking materials with loss still show a cloak that is working, but attenuated backscattering waves exist.

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Exact analytical approaches for elliptic cylindrical invisibility cloaks

Cited by 22 publications

References 19 publications

FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

Multidimensional transformation design method for matter waves

Dispersive full-wave finite-difference time-domain analysis of the bipolar cylindrical cloak based on the effective medium approach

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