Practicable GLHUA Invisible Cloaks Absorb the Incident Wave and create Outgoing Wave Without Exceeding Light Speed Propagation and New N Dimensional Maxwell Equations

Jianhua Li; Feng Xie; Lee Xie; Ganquan Xie

paper

Practicable GLHUA Invisible Cloaks Absorb the Incident Wave and create Outgoing Wave Without Exceeding Light Speed Propagation and New N Dimensional Maxwell Equations

arXiv:1706.10147

Abstract

In this paper, we propose practicable GLHUA invisible cloaks, our cloak absorb the incident wave and create outgoing wave that make them to be invisible cloaks and analytical electromagnetic (EM) wave without exceeding light speed propagation. Discoveries and creations are reported. 1. New GLHUA-i,i=1,2,3 annular layer EM invisible cloak with relative refractive index large or equal to 1. 2. Analytical EM wave solution of EM wave equation with the GLHUA 1-3 cloak materials are found, In GLHUA-1 cloak, $ε_{r} = μ_{r} = \frac{R _{2}^{2}}{r ^{2}}$ , $ε_{θ} = ε_{ϕ} = μ_{θ} = μ_{ϕ} = \frac{R _{2} - R _{1}}{r - R _{1}}$ , In GLHUA-2 cloak, $ε_{r} = μ_{r} = \frac{1}{r ^{2}} \frac{( R _{1} ( r - R _{1} ) + ( R _{2} - R _{1} ) ^{2} ) ^{2}}{( R _{2} - R _{1} ) ^{2}}$ ,. 3. A GLHUA expansion method and an exact analytical EM wave propagation in the GLHUA-i,i=1,2,3 cloak without exceeding light speed propagation that are propsed. 4.Novel negative space is proposed. 5. GLHUANP-i, i=2,3 transformation are proposed, which maps $- \infty$ to $R_{1}$ and $- R_{2}$ to $R_{2}$ . 6. The GLHUANP-i, i=2,3 transformation creates GLHUA-2 and GLHUA-3 cloaks. 7. GLHUA-i, i=1,2,3 cloaks absorb the incident wave and create outgoing wave that make them invisible cloak and analytical EM wave through them. 8. GLHUAF transformation and .GLHUAF invisible cloak with double negative materials is created. 9. The relative parameters of the GLHUA-1 are large than 1, radial parameter in GLHUA-2 cloak is large than positive number, refractive index of the GLHUA 1-3 cloak are large than 1. 10. Two wave fronts in GLHUA cloaks one front is absorbing incoming incident, other front is created wave by cloak materials. 11. New ND Maxwell Eq. is created. The patent, copyright and all rights are reserved by authors in GLGEO in USA.

We find analytic EM wave for GLHUA cloak. 37 pages,181 formulas and 52 figs in this paper. the academical publication for open review and send me email to [email protected]. If colleague use our GLHUA cloaks,analytical EM wave and ND Maxwell Eq. in this paper, please be sure cite my paper in his papers. arXiv admin note: this paper refer with our paper arXiv:1612.02857