Exact Analytical Electromagnetic Wave Propagation In Practicable GLHUA Electromagnetic Invisible Outer Layer Cloak

2017 
It is totally different from the transform optics, by using GL no scattering modeling and inversion in [1-3], in this paper, we discover a new GLHUA outer annular layer electromagnetic (EM) invisible cloak with relative parameter not less than 1. The outer layer cloak can be any positive thickness. In GLHUA outer annular layer cloak, $R_1 \le r \le R_2 $,$R_1>0$,$R_2>R_1$, $\varepsilon _r = \mu _r = \frac{{R_2 ^2 }}{{r^2 }}$, $\varepsilon _\theta = \varepsilon _\phi = \mu _\theta = \mu _\phi = \frac{{R_2 - R_1 }}{{r - R_1 }}$. We discovered an exact analytical EM wave propagation solution of the full wave Maxwell EM equation in the GLHUA outer cloak. In GLHUA outer annular layer cloak, $R_1 \le r \le R_2 $, the exact analytic radial EM wave field solution of Maxwell radial EM differential equation is discovered in this paper The exact analytical radial EM wave solution show that there is no scattering from the GLHUA outer layer cloak to disturb the incident EM wave outside of the cloak in free space. The exact analytical radial EM wave solution show that the EM wave can not propagation penetrate into the sphere $r < R_1 $.In the free space inside of the concealment, $r < R_1 $,$E_r (\vec r) = 0$ $H_r (\vec r) = 0$. We propose a GLHUA expansion method to find an exact analytical EM wave propagation in the GLHUA double cloak The idea and ingredients in this paper are breakthrough progress and different from all other cloak in other research publications. Our analytical EM wave in GLHUA cloak is undisputed evidence and rigorous proof to prove that the GLHUA double layer cloak is practicable invisible cloak without exceed light speed propagation. We discover a novel GLHUA mirage bridge wave that make EM wave without exceeding light speed propagation.
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