Abstract
Over the past years, invisibility cloaks have been extensively discussed since transformation optics emerges. Generally, the electromagnetic parameters of invisibility cloaks are complicated tensors, yet difficult to realize. As a special method of transformation optics, conformal mapping helps us design invisibility cloak with isotropic materials of a refractive index distribution. However, for all proposed isotropic cloaks, the refractive index range is at such a breadth that challenges current experimental fabrication. In this work, we propose two new kinds of logarithm conformal mappings for invisible device designs. For one of the mappings, the refractive index distribution of conformal cloak varies from 0 to 9.839, which is more feasible for future implementation. Numerical simulations by using finite element method are performed to confirm the theoretical analysis.
Highlights
Over the past years, invisibility cloaks have been extensively discussed since transformation optics emerges
As a special method of transformation optics, conformal mapping helps us design invisibility cloak with isotropic materials of a refractive index distribution
Numerous designs have been proposed based on different kinds of conformal mappings, such as invisibility cloak based on Zhukowski conformal mapping[1,13,14], conformal lenses based on power conformal mapping[15], wave bend device based on logarithm conformal mapping[16], directional emitter based on Mobius conformal mapping[17], and unidirectional radiation devices based on logarithm conformal mapping with a linear term[18]
Summary
College of Physics, Optoelectronics and Energy, Soochow University, Suzhou 215006, the People’s Republic of China. As a special method of transformation optics, conformal mapping helps us design invisibility cloak with isotropic materials of a refractive index distribution. For all proposed isotropic cloaks, the refractive index range is at such a breadth that challenges current experimental fabrication. We propose two new kinds of logarithm conformal mappings for invisible device designs. Quasi-conformal mappings, another numerical method has been applied to design isotropic devices such as carpet cloaks[3,4,5,6,7,8,9,10,11,12]. With two kissing mirrored Maxwell’s fish-eye lenses applied in the second Riemann sheet of the virtual space, we can design a conformal cloak with a refractive index profile ranging from 0 to 9.839, which eases experimental implementation. All the numerical simulation results are obtained by the commercial FEM software COMSOL
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