A more exciting breakthrough progress is that we discovered and propose a isotropic EM invisible cloak without exceeding light speed violation in this paper. The GL EM isotropic cloak is installed in outer layer of our double cloak. The GL isotropic invisible cloak in this paper and anisotropic invisible cloaks in our paper ArXiv 1050.3999 in May 2010 and paper in piers 2011 are complete new cloak and totally different from Pendry's cloak and Ulf's cloak in 2011. The dielectric and permeanbility of GL EM cloak in this paper are large than one. The refractive index of the GL cloak material, n(r), is large than one or equal to one. The traditional geometry optical ray tracing method can not be used for explaining our GL isotropic and anisotropic cloak. When EM wave propagates in our GL cloak, an extensive Femate Principle is satisfied. Our GL isotropic cloak in this paper and anisotropic cloaks in ArXiv 1050.3999 in May 2010 are created from our unconventional GL EM cloak modeling and inversion that are proposed here. By searching in a distinctive class of the rational function of (ft), h = r - R_1, the GL EM cloak modeling and inversion create GL EM isotropic invisible cloak class without exceeding light speed. The GL EM cloaks can be practicable by using conventional optical materials. The properties of our GL EM cloak and their proofs are presented by using GL modeling and inversion in this paper. The novel EM wave propagation and front branching in the GL cloak by GL EM modeling are presented in this paper. The EM wave front propagation in GL cloak is behind of the front in free space. At time steps 118dt, in the GL cloak, the wave front is curved as a crescent like and propagates slower than the light in free space. At the time step 120dt, the EM wave inside of the GL EM cloak propagates slower than light speed, moreover, its two crescent front peaks intersect at a front branching point. At the front branching point, the front is split to two fronts. The novel front branching and crescent like wave propagation are displayed in figures in this paper. All copyright and patent of the GL EM isotropic cloak in this paper and in piers 2011 and anisotropic cloaks in arXiv 1050.3999 and in piers 2011 and GL modeling and inversion methods are reserved by authors in GL Geophysical Laboratory.
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机译：更激动人心的突破性进展是我们发现并提出了同位素EM隐形斗篷，而不会超过本文的光速违规。 GL EM各向同性斗篷安装在我们双斗篷的外层。本文的GL各向同性看不见的斗篷和2010年5月的纸质Arxiv 1050.3999中的各向异性看不见的斗篷，2011年的Piers纸质是完整的新斗篷，与Pendry的Cloak和Ulf的斗篷完全不同.GL EM Cloak的介质和渗漏性本文大于一个。 GL斗篷材料N（R）的折射率大于一个或等于一个。传统的几何光学光线跟踪方法不能用于解释我们的GL各向异性和各向异性裂纹。当EM波在我们的GL斗篷中传播时，满足广泛的毛细原理。我们本文的GL各向同性斗篷和2010年5月Arxiv 1050.3999中的各向异性斗篷是从我们在此提出的非传统GL EM Cloak建模和反演中创建的。通过搜索（FT）的合理功能的独特类，H = R - R_1，GL em Cloak建模和反演在不超过光速的情况下创建GL EM各向同性看不见的斗篷类。通过使用常规光学材料可以实现GL EM封斗状物。本文使用GL模型和反演，提出了GL EM Cloak及其证明的特性。本文提出了GL EM建模的GL斗篷中的新型EM波传播和前支化。 GL斗篷中的EM波前沿在自由空间的前面落后。在时间步骤118dt，在GL斗篷中，波前沿作为新月形弯曲，如新月形，并且比自由空间中的光慢。在步骤120dt时，GL em Cloak内部的EM波传播比光速慢，而其两个新月形前峰在前支化点相交。在前分支点处，前部分为两个前部。本文中的新型前支化和新月形如波传播。本文的GL EM各向同性斗篷的所有版权和专利和2011年的Piers in Arxiv 1050.3999和2011年的各向异性斗篷以及GL Geophysical实验室的作者保留了GL Geophysical实验室的作者保留。
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