Transformation-based spherical cloaks designed by an implicit transformation-independent method: theory and optimization

Novitsky, Andrey; Qiu, Cheng‐Wei; Zouhdi, S.

doi:10.1088/1367-2630/11/11/113001

Cited by 33 publications

(29 citation statements)

References 38 publications

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“…The key of designing thermal cloak is to acquire the thermal conductivity of the shell area (a ≤ r ≤ b) of the physical space. The transformation is conducted only along the radical direction, and a new coordinate transformation (obtained by the implicit transformation method, 28,29 as seen in see the supplementary material 30 ) is adopted with the form…”

Section: A Nonlinear Coordinate Transformation Used To Design Two-dimentioning

confidence: 99%

Influence of nonlinear coordinate transformation on thermal cloaking performances of multilayered cylindrical thermal cloaks

2016

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Layered discretization is an efficient way of realizing thermal cloaks. The aim of this paper is to investigate the effect of nonlinear coordinate transformation on the thermal cloaking performance of multilayered cylindrical thermal cloak. Two indexes are defined to quantify the thermal cloaking performance. Nonlinear coordinate transformations with different forms are established to design the multilayered structures and the thermal cloaking performances are analyzed by full-wave simulations. The results show that the thermal cloaking performances of multilayered structures are directly influenced by the form of coordinate transformation which determines the distributions of heat flows in the cloak region. Through the active changing of the form of coordinate transformation, the thermal cloaking performance of multilayered structure can be controlled and optimized. In addition, a three-piecewise linear coordinate transformation is designed to concentrate the heat flux into the middle region of the cloak and the corresponding multilayered structure is demonstrated to have near-perfect thermal cloaking performance. These results may provide a beneficial guidance to achieve performance improvements for multilayered structures of thermal cloaks.

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Section: A Nonlinear Coordinate Transformation Used To Design Two-dimentioning

confidence: 99%

Influence of nonlinear coordinate transformation on thermal cloaking performances of multilayered cylindrical thermal cloaks

2016

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“…An incident plane wave is propagating along z-axis with the electric field polarized along x-direction. This work is of great importance not only in the study of both MD [23] but also in related scattering problems [24,25], because it provides the exact solution to control scatterings if the molecules are oriented in such a way that the macroscopic anisotropy occurs and (or) unintentional uniaxial anisotropy on the surface of the material is introduced during the manufacturing process.…”

Section: Single-layer Modelmentioning

confidence: 99%

The Role of Anisotropy Ratio in Backscattering of Spherically Anisotropic Particles: An Analytical Electromagnetic Characterization

Pei

Lee

Pang

2010

J Infrared Milli Terahz Waves

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We propose an analytical approach to characterize the role of anisotropic ratio in the light scattering of spherical layers with spherical anisotropy defined in spherical coordinates. Single-layer model, thin-film coating, and a collection of such spherical particles are all treated analytically, with the emphasis on the role of anisotropy in the scattering properties. Two types of anisotropic potentials are established to take into account the electric and magnetic anisotropy ratios (AR) which are fundamental to represent the electromagnetic fields in the presence of spherical polar crystallites. This paper provides a new method to depict the particle-illumination interaction at a macroscopic view, and gives new insight to the study of anisotropic interaction of particularly oriented molecular layers, elucidating the importance of anisotropy ratios in the scattering control.

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“…Cai et al found that such an impedance mismatch can be eliminated by employing a highorder CT [25]. Up to now, such a nonlinear transformation method has been used to control the light paths in symmetrical transformations, including cylindrical cloaking with minimized scattering [26][27][28][29][30] and an Eaton lens without singularities [31][32][33]. Practical implementation of the devices is difficult because (i) The materials resulting from TO are both electrically and magnetically anisotropic.…”

Section: Introductionmentioning

confidence: 99%

Flat designs of impedance-matched nonmagnetic phase transformer and wave-shaping polarization splitter via transformation optics

Shu

Yang

Yan

et al. 2015

Optics Communications

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Transformation-based spherical cloaks designed by an implicit transformation-independent method: theory and optimization

Cited by 33 publications

References 38 publications

Influence of nonlinear coordinate transformation on thermal cloaking performances of multilayered cylindrical thermal cloaks

Influence of nonlinear coordinate transformation on thermal cloaking performances of multilayered cylindrical thermal cloaks

The Role of Anisotropy Ratio in Backscattering of Spherically Anisotropic Particles: An Analytical Electromagnetic Characterization

Flat designs of impedance-matched nonmagnetic phase transformer and wave-shaping polarization splitter via transformation optics

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