The $0$ to $R_1$ cylinder radial coordinate transformation can not be used to make cylinder layer electromagnetic cloak

Abstract

In this paper, we discover and proved that the $0$ to $R_1$ cylinder radial coordinate transformation can not be used to make cylinder layer electromagnetic EM cloak. Because in the $0$ to $R_1$ cylinder radial coordinate transformation, the value area of the electric wave field $E_z(\rho ,\varphi ,z)$ and magnetic wave field $H_z(\rho ,\varphi ,z)$ are invariant. After $0$ to $R_1$ cylinder radial transformation,${\rho }_q=R_1+Q(\rho )$, $E_z({\rho }_q,\varphi ,z)=E_z(\rho ,\varphi ,z)$,$H_z({\rho }_q,\varphi ,z)=H_z(\rho ,\varphi ,z)$ . in the physical inner cylinder boundary, $E_z(R_1,\varphi ,z)\ne 0$,$H_z(R_1,\varphi ,z)\ne 0$, The cylinder EM wave field will propagation penetrate into the inner cylinder $\rho <R_1,\left|z\right|<\infty$ .Therefore, the inner cylinder $\rho <R_1,\left|z\right|<\infty$ . can not be cloaked. In many published papers on EM cylinder cloak, the $0$ to $R_1$ cylinder radial transformation is wrongfully used for their EM cylinder layer cloak.

4 pages,38 formulas in this paper publication.the academical publication for open review. colleague send comments to me by email [email protected]. If colleague use our GLHUA cloaks and analytical EM in $\rho <R_1$ in this paper, please be sure cite my paper in his papers. arXiv admin note: substantial text overlap with arXiv:1612.02857, arXiv:1701.00534, arXiv:1706.05375