Anisotropic Electromagnetic Invisible GLHUA Cloak

Published: 23 June 2026| Version 1 | DOI: 10.17632/kgpdv6npbz.1
Contributors:
ganquan xie,
,
,

Description

Anisotropic Electromagnetic Invisible GLHUA Cloak, Extensive Abstract We discovered an invisible cloak phenomenon [11][12] while investigating 911 fly by GILD electromagnetic modeling and inversion. By using non scattering GL modeling and inversion and distinctive search materials [1][2][12][13][14], the GLLH invisible cloak was created in 2010[3]. The electromagnetic wave propagation in Pendry cloak [4][2006] does not match the observed cloak phenomena in 2001[11]. The electromagnetic wave propagation in the GLLH cloak [3][2010] matches the observed cloak phenomena in 2001[11]. From the GLLH invisible cloak[3], we proposed the GLHUA invisible cloak in 2016 [16][15][17]. Different from the Pendry cloak [4], using our GILD[12] and GL[13][14] no scattering modeling and inversion with search class, [1][2], we find a nonzero solution to the no scattering nonlinear electromagnetic inversion equation [3] to create invisible GLLH[3] and GLHUA cloaks [15][16][17] with relative refractive index greater than one, without superluminal propagation, and without time delay. The Pendry cloak [4] has infinite speed violation and superluminal fundamental problems which were criticized by ULF in [7] and [8]. Ulf admitted his cloak has time delay in [7]. First in the world , Li and Xie’s team discovered and proposed Positive Space, Negative Space, and the Invisible GLHUA sphere[19] and GLLH cloak[3] and GLHUA cloak[16][15][17][18]. By expanding the invisible GLHUA sphere from 0+ to R1 and R2 to R2, we propose the invisible GLHUA cloak. Historically, we had the GLHUA cloak first. Then when , the concealment room shrinks to point zero, and the invisible GLHUA cloak becomes an invisible GLHUA sphere. The brief history and research process will be described. The expanding transformation from 0+ to R1 and R2 to R2 in GLHUA sphere, the transformation (4) in [19] becames , GLHUA sphere becomes GLHUA cloak. In the above formula, let , the shrink transformation, , GLHUA cloak becomes GLHUA sphere. Supplementung and simplifying [19], according to the transformation from positive space to negative space[19], in (4) in [19], therein, and using spherical plane waves instead of spherical harmonic waves, we obtain the propagation of exact analytical electromagnetic plane waves through the GLHUA sphere and GLHUA cloak. Simulations described in this paper are used our Fortran Programs and Subroutines we wrote. we display radial magnetic wave propagation through an invisible GLHUA cloak without superluminal propagation and without time delay. The incident wave entering GLHUA cloak is absorbed, disconnects from the external incident wave, and becomes a dark particle with upward and downward mushroom shapes. Simultaneously, from the last half period, the dark particle with upward and downward mushroom shapes creates a new wave, that connects to the external incident wave and propagates out of the GLHUA sphere, including the dark hole.

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Electromagnetics

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