电磁波在GLHUA不可见球体中传播的GL无散射全波模拟与反演
Electromagnetic Wave Propagation in GLHUA Invisible Sphere by GL No Scattering Full Wave Modeling and Inversion
摘要：
利用GL无散射全波建模和反演，在虚拟球体中创建了GLHUA预隐身电磁材料，使球体隐形。这个不可见的球体被称为GLHUA球体。在GLHUA球中，前隐身相对参数不小于1;参数及其导数在边界r=R2上是连续的，并且参数在原点r=0处趋于无穷大。电磁波在球体中的相速度小于光速，在原点趋于零。GLHUA球不会对球外激发的电磁波场产生干扰。利用GL全波方法，严格证明了入射电磁波场在GLHUA球外激发并在球内传播而不受球的散射，球外的总电磁场等于入射电磁波场。此外，我们还证明了在GLHUA球中，当r趋于原点时，电磁波在GLHUA球中的传播趋于零。我们提出了一个$N$维麦克斯韦方程组。GL地球物理实验室保留GLHUA电磁斗篷、GLHUA球体和GL建模与反演方法的所有版权和专利。
英文摘要：
Using GL no scattering full wave modeling and inversion, we create a GLHUA pre cloak electromagnetic (EM) material in the virtual sphere that makes the sphere is invisible. The invisible sphere is called GLHUA sphere. In GLHUA sphere, the Pre cloak relative parameter is not less than 1; the parameters and their derivative are continuous across the boundary r=R2 and the parameters are going to infinity at origin r=0. The phase velocity of EM wave in the sphere is less than light speed and going to zero at origin. The EM wave field excited in the outside of the sphere can not be disturbed by GLHUA sphere. By GL full wave method, we rigorously proved the incident EM wave field excited in outside of GLHUA sphere and propagation through the sphere without any scattering by the sphere, the total EM field in outside of the sphere equal to the incident wave field. Moreover, we prove that in GLHUA sphere with the pre cloak material, when r is going to origin, EM wave field propagation in GLHUA sphere is going to zero. We propose a $N$ dimensional MAXWELL equations. All copyright and patent of the GLHUA EM cloaks,GLHUA sphere and GL modeling and inversion methods are reserved by authors in GL Geophysical Laboratory.
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