arXiv subjects

Ganquan Xie

Publications and source records attributed to Ganquan Xie.

11 recordsLinked to original sources

arXiv2020

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

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.

physics.class-ph↗

arXiv2020

Practicable GLHUA Invisible Cloaks Absorb the Incident Wave and create Outgoing Wave Without Exceeding Light Speed Propagation and New N Dimensional Maxwell Equations

In this paper, we propose practicable GLHUA invisible cloaks, our cloak absorb the incident wave and create outgoing wave that make them to be invisible cloaks and analytical electromagnetic (EM) wave without exceeding light speed propagation. Discoveries and creations are reported. 1. New GLHUA-i,i=1,2,3 annular layer EM invisible cloak with relative refractive index large or equal to 1. 2. Analytical EM wave solution of EM wave equation with the GLHUA 1-3 cloak materials are found, In GLHUA-1 cloak, $\varepsilon_r = μ_r = \frac{R_2 ^2 }{r^2 }$, $\varepsilon_θ= \varepsilon_ϕ= μ_θ= μ_ϕ= \frac{R_2 - R_1 }{r - R_1 }$, In GLHUA-2 cloak, $\varepsilon _r = μ_r = \frac{1}{r^2 }\frac{(R_1 (r - R_1 ) + (R_2 - R_1 )^2 )^2 }{(R_2 - R_1 )^2 }$,. 3. A GLHUA expansion method and an exact analytical EM wave propagation in the GLHUA-i,i=1,2,3 cloak without exceeding light speed propagation that are propsed. 4.Novel negative space is proposed. 5. GLHUANP-i, i=2,3 transformation are proposed, which maps $ - \infty $ to $R_1$ and $-R_2$ to $R_2$. 6. The GLHUANP-i, i=2,3 transformation creates GLHUA-2 and GLHUA-3 cloaks. 7. GLHUA-i, i=1,2,3 cloaks absorb the incident wave and create outgoing wave that make them invisible cloak and analytical EM wave through them. 8. GLHUAF transformation and .GLHUAF invisible cloak with double negative materials is created. 9. The relative parameters of the GLHUA-1 are large than 1, radial parameter in GLHUA-2 cloak is large than positive number, refractive index of the GLHUA 1-3 cloak are large than 1. 10. Two wave fronts in GLHUA cloaks one front is absorbing incoming incident, other front is created wave by cloak materials. 11. New ND Maxwell Eq. is created. The patent, copyright and all rights are reserved by authors in GLGEO in USA.

physics.gen-ph↗

arXiv2018

Novel GLHUA Electromagnetic Invisible Double Layer Cloak With Relative Parameters Not Less Than 1 and GL No Scattering Inversion,radial R in the sphere coordinate can be negative in a negative space world

Using GILD and GL no scattering modeling and inversion, we find a class of the nonzero solution of the zero scattering nonlinear inversion equation and use it to create our GLHUA cloak with relative EM parameter not less than 1 for each layer with any thickness. major new ingredients are: (1) In the outer layer, R1 < r < R2, the relative radial electric permittivity and radial magnetic permeability equal to 1; the relative angular electric permittivity and magnetic permeability are equal to 0.5((H/C)^(Alpha)+(C/H)^(Alpha)),C=R2-R1, H= r-R1; (2) In the inner layer cloak R0 < r < R1 , the relative radial electric permittivity and radial magnetic permeability equal to 1; the relative angular electric permittivity and magnetic permeability are equal to 0.5((H/C)(R0/r))^(Alpha)+((C/H)(r/R0))^(Alpha)),C=R1-R0, H= R1-r; (3) The phase velocity of wave in GLHUA cloak is less than light speed and tends to zero at r=R1;(4) We proved that GLHUA cloak is complete invisible cloak with concealment; in GLHUA cloak, the EM wave field is going to zero at r=R1. The incident wave excited in outside of GLHUA cloak can not be disturbed by cloak, and the wave can not propagation penetrate into the concealment; (5) The incident wave excited in concealment can not propagation to go to outside of the cloak, the incident wave can not be disturbed in the concealment.(6) The idea and no scattering modeling and inversion and practicable GLHUA cloak are new invisible natural science attract more researcher's effort. In my [33].we discover negative space, in which sphere radial R is negative. We found an exact full EM wave propagation solution of the EM equation in the GLHUA double layer invisible cloak, which is breakthrough progress. Analytical EM wave propagation in GLHUA cloak is published in this version. We create a novel sphere radial transformation from negative infinite to R_1 sphere radial transformation.

physics.gen-ph↗

arXiv2018

The Theoretical Proof for GLHUA EM Invisible Double Layer Cloak By Using GL No Scattering Modeling and Inversion

In this paper, we proposed the GLHUA double layer cloak; proved the properties of GLHUA double layer cloak; Using GL no scattering inversion and the pre cloak condition 6.1 to 6.4 in paper [1], we create GLHUA outer layer cloak radial relative parameter and angular relative parameter theoretically. We proved theorem 4.1 to theorem 4.4 that the phase velocity of the electromagnetic wave in GLHUA outer layer cloak is less than light speed and tends to zero at the boundary $r=R_1$, the EM wave tends to zero at $r=R1$; When source $r_s > R_2$ in the outside of the cloak and observer $r_o < R_o$ in the concealment, then $\vec E(\vec r_o)=0$ and $\vec H(\vec r_o)=0$ that is proved in theorem 5.1 and 5.3. We prove that the EM wave excited in outside of the cloak can not propagation penetrate into the concealment. In theorem 5.4 to 5.6, we rigorously proved the EM wave excited in outside of the cloak can not be disturbed by the cloak. In theorem 6.1 to theorem 6.6, we prove that the EM wave excited in the concealment can not propagate to outside of GLHUA inner cloak. we prove that the EM wave excited in the concealment can not be disturbed by the cloak. We theoretically prove that the GLHUA double cloak is invisible cloak with concealment and with relative parameter not less than 1; the GLHUA double layer cloak is practicable. In December of 2016, we submitted 3 papers to arXiv for GLHUA double layer cloak with relative parameters not less than 1. This is the third paper. The task and content of the three paper are different from each other. The second paper [1] and this Paper are theoretical base and proof of the subjects in paper arXiv:1612.02857. We find an exact analytical EM wave field of Maxwell EM equation in GLHUA cloak and mirage bridge wave. Patent of the GLHUA EM cloaks,GLHUA sphere and GL modeling and inversion methods are reserved by authors in GL Geophysical Laboratory.

physics.class-ph↗

arXiv2017

Problem On The Acoustic Cloak By $0$ to $R_1$ Transformation

The $0$ to $R_1$ radial spherical coordinate transformation method can be making electromagnetic (EM) invisible cloak. However the cloak by transformation optic has infinite speed and exceeding light speed etc fundamental difficulties. In this paper, we discover problem on acoustic cloak by transformation and prove that in the $0$ to $R_1$ radial spherical coordinate transformation, the pressure wave field $P(r_p)=P(r)$ is invariant, in the physical inner spherical surface boundary $r=R_1$, $P(R_1)$ is not zero. the acoustic field propagation penetrate into the inner sphere $r < R_1$.Therefore, the inner sphere $r < R_1$ can not be cloaked. The GL simulation figures of the pressure acoustic wave propagation penetrate into the inner sphere $r \le R_1$ are presented in figure 1 to figure 12.The pressure wave is setting to zero that cause the scattering wave to disturb incident pressure acoustic wave outside of the outer sphere $r \ge R_2$ that make the whole sphere $r \ge R_2$ will be deltected. GL method simulation is presented in figure 13. we discovered and proved that $0$ to $R_1$ sphere radial transformation can not be used to induce acoustic no scattering cloak.

physics.class-ph↗

arXiv2017

The $0$ to $R_1$ cylinder radial coordinate transformation can not be used to make cylinder layer electromagnetic cloak

In this paper, we discover and proved that the $0$ to $R_1$ cylinder radial coordinate transformation can not be used to make cylinder layer electromagnetic EM cloak. Because in the $0$ to $R_1$ cylinder radial coordinate transformation, the value area of the electric wave field $E_z (ρ,ϕ,z)$ and magnetic wave field $H_z (ρ,ϕ,z)$ are invariant. After $0$ to $R_1$ cylinder radial transformation,$ρ_q = R_1 + Q(ρ)$, $E_z (ρ_q,ϕ,z) = E_z (ρ,ϕ,z)$,$H_z (ρ_q,ϕ,z) = H_z (ρ,ϕ,z)$ . in the physical inner cylinder boundary, $E_z (R_1,ϕ,z) \ne 0$,$H_z (R_1,ϕ,z) \ne 0$, The cylinder EM wave field will propagation penetrate into the inner cylinder $ρ< R_1,\left| z \right| < \infty $ .Therefore, the inner cylinder $ρ< R_1,\left| z \right| < \infty $ . can not be cloaked. In many published papers on EM cylinder cloak, the $0$ to $R_1$ cylinder radial transformation is wrongfully used for their EM cylinder layer cloak.

physics.class-ph↗

arXiv2010

GLLH EM Invisible Cloak With Novel Front Branching And Without Exceeding Light Speed Violation

In this paper, for the first time in the world, we propose a new electromagnetic (EM) cloak without superluminal propagation and without time delay. Using Global and Local (GL) electromagnetic non-scattering modeling and inversion with a distinctive class of materials a_{\alpha \beta}\log ^\alpha (b_{\alpha \beta}/h) h^\beta (GLLH Cloak), the named GLLH invisible cloak is developed in arXiv:1005.3999V1 in 2010. After 16 years, this paper is version 2 of arXiv:1005.3999V1 . The refractive index of the GLLH cloak material is greater than or equal to one. Spherical harmonic analysis and the GL modeling and inversion method are used to simulate the electromagnetic wave propagation through the GLLH cloak without superluminal effects and without time delay. The novel EM wave propagation and front branching in the GLLH cloak obtained by GL EM modeling are presented. Find an invisible cloak is the non scattering problem. Using Global and Local (GL) electromagnetic non-scattering modeling and inversion with a distinctive class of materials is one method in our paper in arXiv:1005.3999V1 in 2010. Another method is some 0 to R1 radial coordinate transformations with superluminal and infinite phase velocity. From the GLLH invisible cloak, we discovered positive space and negative space and invisible science. Using a new negative infinity to 0 quasi topological transformation, we discovered new isotropic electromagnetic invisible GLHUA sphere; anisotropic electromagnetic invisible GLHUA cloak. 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 $119dt$, its two crescent front peaks intersect at a front branching point. All copyright and patent of the GLLH EM cloaks and GL modeling and inversion methods are reserved by authors.

physics.gen-ph↗

arXiv2010

A GL Double Layer EM Cloaks In Broad Frequency Band And Reciprocal Law

In this paper, we propose a novel GLWF double layer EM cloak in the broad frequency band. The GLWF double layer cloak consists of two sphere annular layers, two type cloak materials are proposed and installed in its each layer, respectively. The outer layer of the GL cloak has the invisible function in broad frequency band, while its inner layer has the fully absorption and rapid delay function. The GLWF double layer cloak overcomes the following difficulties of the single layer PS cloak. (1) There exists no EM wavefield can be excited inside the concealment of the PS cloak, the concealment of the PS cloak is blind. Our GL double layer cloak recovered that the EM wave field can be excited inside the concealment of the GL double layer cloak. (2) There is exceeding light speed physical violation in PS cloak, its invisibility only in very narrow frequency band. Our GLWF double layer cloak corrects the violation. (3) The reciprocal law is satisfied in our GL double cloak media. However, the PS cloak damaged the reciprocal law.. The simulations and comparisons of the EM wave field propagation through the GLWF double cloak, GL double cloak and GL double layer with PS outer layer are presented to show the advantages of the GLWF double layer EM cloak The GL double layer cloaks are proposed by our GL EM modeling and inversion. The 3D GL EM modeling simulations for the double layer cloak are presented. The copyright and patent of the GLWF double layer cloak materials and GL EM modeling and inversion in this paper are reserved by authors in GL Geophysical Laboratory.

physics.optics↗

arXiv2009

A Double Layer Electromagnetic Cloak And GL EM Modeling

In this paper, we propose a novel electromagnetic (EM) cloaking structure that consists of two annular layers between three spherical shells and model its performance numerically and theoretically by using a Global and Local EM field (GL) method. The two annular layers contain distinct cloaking materials: the outer layer provides invisibility; the inner layer is fully absorbing. The cloaking materials are weakly degenerative. The wavefield from an EM source located outside the cloak propagates as in free space outside the outer shell, never be disturbed by the cloak and does not penetrate into the inner absorbing layer and concealment. The field of a source located inside inner layer or the cloaked concealment is completely absorbed by the inner layer and never reaches the outside of the middle shell, Moreover, the EM wavefield excited in concealment is not disrupted by the cloak. There exists no Maxwell EM wavefield can be excited in a single layer cloaked concealment which is filled by normal material. Moreover, we find a negative dielectric and positive susceptibility metamaterial to fill into the concealment, such that the interior EM wave propagates from the concealment to free space through the single layer cloak. Therefore, the double layer cloak is important and necessary for complete invisibility. Numerical simulations and theoretical analysis verifying these properties are performed using the GL EM modeling method that we described in this paper.

physics.optics↗

arXiv2009

An Electromagnetic GL Double Layered Cloak

In this paper, we propose a new electromagnetic (EM) GL double layered cloak. The GL double layered cloak is consist of two sphere annular layers, $R_1 \le r \le R_2$ and $R_2 \le r \le R_3$. Two type cloak materials are proposed and installed in the each layer, respectively. The outer layer cloak of the GL double layered cloak has the invisible function, the inner layer cloak has fully absorption function. The GL double layered metamaterials are weak degenerative and weak dispersive. When the source is located outside of the GL double layered cloak, the excited EM wave field propagation outside of the double layered cloak is as same as in free space and never be disturbed by the cloak; also, the exterior EM wave can not penetrate into the inner layer and concealment. When local sources are located inside of the GL double cloaked concealment with the normal EM materials, the excited EM wave is propagating under Maxwell equation governing, it is complete absorbed by the inner layer cloak of GL double cloak and never propagate to outside of the inner layer of the GL cloak, moreover, the EM wavefield in concealment never be disturbed by the cloak. The GL doubled layered cloak is a robust cloak and has complete and sufficient invisibility functions. Its concealment is the normal electromagnetic environment. Our EM GL double layered cloak is different from conventional common cloak. The 3D GL EM modeling simulations for the double layered cloak are presented. The GL method is an effective physical simulation method and is fully different from the conventional methods. It has double abilities of the theoretical analysis and numerical simulations to study the cloak metamaterials and wide materials and field scattering problem in physical sciences.

physics.optics↗

arXiv2009

No Maxwell Electromagnetic Wave Field Excited In Cloaked Concealment

The GL electromagnetic (EM) modeling is used to simulate the 3D EM full wave field propagation through cloaks. The 3D GL simulation of the EM wave field excited by a point source outside of the cloaks has been done. The simulation of the EM wave field from the point source excitation inside of the cloak device is presented in this paper. By using the GL modeling simulation, we found a phenomenon that there is no Maxwell EM wave field which is excited by nonzero local sources inside of the single layer cloaked concealment. The theoretical proof of the phenomenon by GL method is proposed in this paper. The GL method is fully different from the conventional methods. The GL method has double abilities of the theoretical analysis and numerical simulations to research the physical process and cloak metamaterial properties that is exhibited in this paper.

physics.optics↗