Electromagnetic Wave Propagation in GLHUA Invisible Sphere by GL No Scattering Full Wave Modeling and Inversion

TL;DR

This paper introduces a novel electromagnetic invisibility sphere called GLHUA, created using full wave modeling and inversion, which is theoretically proven to be undetectable and exhibits unique wave propagation properties.

Contribution

The paper develops a new GLHUA pre cloak material with specific parameters, rigorously proves its invisibility through full wave modeling, and introduces a multidimensional Maxwell framework for analysis.

Findings

The GLHUA sphere is invisible with no scattering of external EM waves.

The EM wave field inside the sphere diminishes to zero at the origin.

The total EM field outside the sphere equals the incident wave field.

Abstract

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.