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In this paper, we propose new Global and Local (GL) electromagnetic (EM)cloaks with distinctive class material a_{\alpha \beta}\log ^\alpha (b_{\alpha\beta}/h) h^\beta (GLLH Cloak) without exceed light speed violation. Therefractive index of the GLLH cloak material, $n(r)$, is large than one or equalto one. Our GLLH cloak is created by GL EM modeling and GL EM cloak inversionwith searching class \it a_{\alpha \beta}\log ^\alpha (b_{\alpha \beta}/h)h^\beta. The GLLH cloaks in this paper have finite speed and have no exceedlight speed? physical violations and have more advantages. The GLLH EM cloakscan be practicable by using normal materials and are available for all broadfrequency band. The GL EM cloak inversion and electromagnetic integral equationfor cloak are presented in this paper. The novel EM wave propagation and frontbranching in the GLLH cloak by GL EM modeling are presented in this paper. TheEM wave front propagation in GLLH cloak is behind of the front in free space.At time steps $118 dt$, in the GLLH cloak, the wave front is curved as acrescent like and propagates slower than the light in free space. At the timestep $119dt$, the EM wave inside of the GLLH cloak propagates slower than lightspeed, moreover, its two crescent front peaks intersect at a front branchingpoint. At the front branching point, the front is split to two fronts. Thenovel front branching and crescent like wave propagation are displayed in thefollowing figure 1, figure 2 and figures 5 -20 in this paper. All copyright andpatent of the GLLH EM cloaks and GL modeling and inversion methods are reservedby authors in GL Geophysical Laboratory.

GLLH EM Invisible Cloak With Novel Front Branching And Without Exceed Light Speed Violation