In this paper, we propose a novel Global and Local (GL) electromagnetic (EM) invisible cloaks
with refractive index N(r) >1. In 2001, we discovered a double cloak in Figure 2 in [1]. Then we
discovered the GLLH EM invisible cloak [2]. Our GLLH EM invisible cloak is discovered from
GL modeling and GL No scattering inversion and searched on a distinctive material class.
So, it is called GLLH Cloak. The GLLH EM invisible cloak has refractive index N(r) > 1, it has finite speed and has no exceed light speed violation. The GLLH EM cloak no scattering inversion and electromagnetic integral equation for cloak are presented in other paper. The novel EM wave propagation and front branching in the GLLH cloak by GLLH EM modeling and no scattering inversion are presented in this paper. The EM wave front propagation in GLLH cloak is behind of the front in free space. That shows that the GLLH EM invisible cloak has refractive index N(r) > 1, has finite speed and has no exceed light speed violation. At time steps 118 dt, in the GLLH cloak, the wave front is curved as a crescent like and propagates slower than the light in free space. At the time step 119dt, the EM wave inside of the GLLH cloak propagates slower than light speed, in particular, its two crescent front peaks intersect at a front branching point. At the front branching point, the front is split to two fronts. One is forward propagation front with most energy and without exceed light speed, other one is attracting wave front to the inner boundary with small energy and amplitude decay to zero and with speed decay to zero The novel front branching and crescent like wave propagation are displayed in the following figure 1, and figures 5 -20 in this paper. The GLLH EM cloaks can be practicable by using conventional materials in all broad frequency band. GLLH cloak patent and copyright are belong to GL Geophysical Laboratory, USA.