Electromagnetic time-harmonic and static field polygonal rotator with homogeneous materials

Weijie Gao,Faxin Yu,Huaping Wang

doi:10.1038/s41598-019-51637-4

Weijie Gao, Faxin Yu + Show 1 more

Open Access

https://doi.org/10.1038/s41598-019-51637-4

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Abstract

We propose a scheme of designing polygonal rotator with homogenous materials by using linear coordinate transformation. Our strategy is available for both time-harmonic electromagnetic field case and static field case. In particular, we found that only one anisotropic material is needed in static field case, and the density of field in the central region can be altered to be denser or sparser, or stay the same. The magnetostatic field rotator can be realized by multilayered structure composed of ferromagnetic materials and superconductor, and the direct current rotator can be realized by metals with different conductivity. Numerical results verify the effectiveness of our strategy in both time-harmonic field case and static field case.

Highlights

We propose a scheme of designing polygonal rotator with homogenous materials by using linear coordinate transformation
We show that two kinds of anisotropic materials are needed to design a time-harmonic electromagnetic field rotator
A rotator consisting of homogeneous anisotropic materials is proposed, by applying the linear coordinate transformation

Summary

All these devices above are composed of only one anisotropic

It is interesting to see that we only use one anisotropic material to design a rotator, a concentrator and a sparse device. It is obvious that the contour of magnetic potential in the central region is rotated anticlockwise 27.20°, and the density of contour of magnetic potential is double that out of the concentrator. One can see that the contour of magnetic potential in the central region is rotated anticlockwise 24.22°, and the density of the contour of magnetic potential is half that out of the sparse device. The contour out of the sparse device is undistorted Note that all these devices are composed of only one anisotropic material, which can be realized by the multilayered structure consisting of ferromagnetic materials and superconductor. This strategy can be applied to electrostatic field case and dc case. We can use metals with different conductivity to design these devices mentioned above, for example, stainless iron, copper, and iron, which are used by Han et al to design a cloak and a concentrator[36]

Conclusion

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