CN102677836B - Metamaterial-based multi-functional roof slab - Google Patents

Abstract

The invention discloses a metamaterial-based multi-functional roof slab, which comprises a metamaterial panel, wherein the metamaterial panel comprises at least one sheet substrate and a plurality of man-made conductive micro-structures arranged on the substrate; and the metamaterial panel can be used for converging electromagnetic wave signals transmitted by a satellite to a feed source of a satellite television receiving system. The metamaterial-based roof slab replaces the conventional roof slab and is used as a satellite signal receiving antenna, so that the metamaterial-based multi-functional roof slab has the functions of keeping out wind and rain and receiving satellite signals, and multiple functions of the roof slab are realized; and moreover, the sheet metamaterial panel replaces the traditional parabolic antenna, so that the metamaterial-based multi-function roof slab is easy to manufacture and process and low in cost, and potential safety hazards caused by rain and snow weather are eliminated. When the metamaterial-based multi-functional roof slab is applied to occasions where a mobile house which is required to be frequently moved, the convenience and superiority of the roof slab can be further reflected.

Description

Based on the Multifunctional roof plate of Meta Materials

Technical field

The present invention relates to building field, more particularly, relate to a kind of Multifunctional roof plate based on Meta Materials.

Background technology

The satellite earth receiving station that existing satellite television receiving system is normally made up of parabola antenna, feed, tuner, DVB.Parabola antenna is responsible for that satellite is passed the electromagnetic wave signal of coming and is reflexed to the feed and tuner that are positioned at focus place.Feed be arrange at the focus place of parabola antenna one for collecting the loudspeaker of satellite-signal, also known as corrugated horn.Its major function has two: one to be collected by the electromagnetic wave signal that antenna receives, and is transformed into signal voltage, supply high frequency head.Two is carry out polarization conversion to the electromagnetic wave received.

Tuner LNB (also known as frequency demultiplier) is that the satellite-signal sent here by feed carries out frequency reducing and then signal amplification is sent to DVB.Generally can be divided into C-band frequency LNB (3.7GHz-4.2GHz, 18-21V) and Ku audio range frequency LNB (10.7GHz-12.75GHz, 12-14V).The workflow of LNB be exactly first satellite high-frequency signals is amplified to hundreds thousand of times afterwards recycle local oscillation circuit high-frequency signals is converted to intermediate frequency 950MHz-2050MHz, be beneficial to the transmission of coaxial cable and the solution mediation work of DVB.DVB is that the satellite-signal transported by tuner carries out demodulation, demodulates satellite television image or data signal and audio signal, and sends described signal to television set.

In general, the bore of described parabola antenna is larger, and the signal of TV programme is stronger, and the quality of reception is higher.In order to avoid obstruction is on the impact of described parabola antenna Signal reception, described parabola antenna is arranged on the roofing slab on roof by user usually, and thus described roofing slab is except for except keeping out wind and rain, also for supporting described parabola antenna.But because existing described parabola antenna is made up of metal material usually, thus volume own is large, and Heavy Weight, when meeting the bad weathers such as wind, rain, snow, described roofing slab bears larger pressure, easily produces fracture, causes great potential safety hazard.In addition, the Machining of Curved Surface difficulty of the reflecting surface of parabola antenna is large, and required precision is also high, therefore, make trouble, and cost is higher.

Summary of the invention

Technical problem to be solved by this invention is, for the defect that existing satellite tv antenna and roofing slab exist, provides a kind of and eliminates safe hidden trouble, processes the Multifunctional roof plate based on Meta Materials that is simple, low cost of manufacture.

The technical solution adopted for the present invention to solve the technical problems is: a kind of Multifunctional roof plate based on Meta Materials, described roofing slab comprises metamaterial panel, the base material that described metamaterial panel comprises at least one lamellar and the multiple artificial conductive micro structures arranged on the substrate, described metamaterial panel can be used for that satellite is passed the electromagnetic wave signal of coming and converges on the feed of satellite television receiving system.

Further, described base material is made up of the transparent material of light-permeable.

Further, described metamaterial panel comprises core layer, described core layer comprises at least one core layer, the described base material that described core layer comprises sheet and the multiple described artificial conductive micro structures arranged on the substrate, described core layer can be divided into according to index distribution the border circular areas that is positioned at centre position and to be distributed in around border circular areas and with multiple annular regions of the concyclic heart of described border circular areas, in described border circular areas and annular region, the refractive index at same radius place is identical, and along with the increase refractive index of radius reduces gradually in border circular areas and annular region region separately, the minimum value of the refractive index of described border circular areas is less than the maximum value of the refractive index of the annular region be adjacent, adjacent two annular regions, the minimum value being in the refractive index of the annular region of inner side is less than the maximum value of the refractive index of the annular region being in outside.

Further, described core layer also comprises the packed layer covering artificial conductive micro structures.

Further, described core layer comprises the identical and core layer be parallel to each other of multiple index distribution.

Further, described metamaterial panel also comprises the matching layer being arranged on core layer both sides, to realize the impedance matching from air to core layer.

Further, the described center of circle is the center of core layer, and the variations in refractive index scope of described border circular areas and multiple annular region is identical, and refractive index n (r) distribution of described core layer meets following formula:

$n\left(r\right)=n_{\max }-\frac{\sqrt{l^2+r^2}-l-\mathrm{k\λ}}{d};$

Wherein, n (r) represents that in core layer, radius is the refractive index value at r place;

L is the distance that feed arrives the matching layer close with it, or l is the distance that feed arrives core layer;

D is the thickness of core layer, $d=\frac{\mathrm{\λ}}{n_{\max }-n_{\min }};$

N _maxrepresent the refractive index maximum value in core layer;

N _minrepresent the refractive index minimum value in core layer;

$k=\mathrm{floor}\left(\frac{\sqrt{l^2+r^2}-l}{\mathrm{\λ}}\right),$ Floor represents downward round numbers.

Further, described matching layer comprises multiple matching layer lamella, and each matching layer lamella has single refractive index, and the refractive index of multiple matching layer lamellas of the matching layer of core layer both sides all meets following formula:

$n\left(i\right)={((n_{\max }+n_{\min })/2)}^{\frac{i}{m}};$

Wherein, m represents total number of plies of matching layer, and i represents the numbering of matching layer lamella, wherein, near core layer matching layer lamella be numbered m.

Further, the multiple artificial conductive micro structures shape of each core layer of described core layer is identical, in described border circular areas and annular region, the multiple artificial conductive micro structures at same radius place has identical physical dimension, and the physical dimension of the artificial conductive micro structures of increase along with radius in border circular areas and annular region region separately reduces gradually, in described border circular areas, the physical dimension of the artificial conductive micro structures that physical dimension is minimum is less than the physical dimension of the artificial conductive micro structures that physical dimension is maximum in the annular region that is adjacent, adjacent two annular regions, in annular region inside being in, the physical dimension of the artificial conductive micro structures that physical dimension is minimum is less than the physical dimension of the artificial conductive micro structures that physical dimension is maximum in the annular region outside being in.

Further, described artificial conductive micro structures is the alabastrine metal micro structure of plane or electrically conductive ink.

The invention has the beneficial effects as follows: the present invention is by replacing existing roofing slab by the roofing slab based on Meta Materials and it can be used as satellite signal receiving antenna, thus the present invention not only has the effect of keeping out wind and rain, but also there is the effect of receiving satellite signal, achieve the multifunction of roofing slab; In addition, instead of traditional parabola antenna by the metamaterial panel of sheet, manufacture processing and be more prone to, cost is cheaper, eliminates the potential safety hazard because sleety weather causes.

Accompanying drawing explanation

Fig. 1 is the structural representation of the Multifunctional roof plate based on Meta Materials of the present invention when coordinating with feed;

Fig. 2 is the perspective diagram of the metamaterial unit of a kind of form of the present invention;

Fig. 3 is the index distribution schematic diagram of core layer of the present invention;

Fig. 4 is the structural representation of the core layer of a kind of form of the present invention;

Fig. 5 is the structural representation of matching layer of the present invention.

Fig. 6 is the structural representation of the present invention when being laid on roof.

Detailed description of the invention

As shown in Figures 1 to 6, when the Multifunctional roof plate that the present invention is based on Meta Materials is laid on roof, the feed 1 of satellite television receiving system is arranged on the below of described roofing slab, by described roofing slab, satellite being passed the electromagnetic wave signal of coming converges on described feed 1, thus the television set be electrically connected with satellite television receiving system within doors can receive satellite TV signal, people in room just can watch TV, and the present invention is applied in the occasions such as the movable plank house often need moved can further embody its convenience and superiority.

The Multifunctional roof plate that the present invention is based on Meta Materials comprises metamaterial panel 100, and in order to strengthen the intensity of described metamaterial panel 100, the surface of described metamaterial panel 100 can be smeared and be reinforced UV glue etc.In the present embodiment, described metamaterial panel 100 comprises core layer 10, described core layer 10 comprises at least one core layer 11, the base material 13 that described core layer comprises sheet and the multiple artificial conductive micro structures 12 be arranged on base material 13, described core layer 11 can be divided into according to index distribution the border circular areas Y that is arranged in centre position and to be distributed in around border circular areas Y and (figure uses H1 respectively with multiple annular regions of the concyclic heart of described border circular areas, H2, H3, H4, H5 represents), in described border circular areas Y and annular region, the refractive index at same radius place is identical, and along with the increase refractive index of radius reduces gradually in border circular areas and annular region region separately, the minimum value of the refractive index of described border circular areas is less than the maximum value of the refractive index of the annular region be adjacent, adjacent two annular regions, the minimum value being in the refractive index of the annular region of inner side is less than the maximum value of the refractive index of the annular region being in outside.

Described core layer 11 is divided into border circular areas according to refractive index and multiple annular region is to better describe the present invention.In the present invention, feed 1 is arranged on the axis of metamaterial panel 100, and namely feed 1 overlaps with the axis of metamaterial panel 100 with the line at the center of core layer 11.Described feed 1 has support (not shown) to support.Feed 1 is preferably electromagnetic horn in addition.Annular herein, had both comprised annular region complete in Fig. 3, also comprised incomplete annular region in Fig. 3.Core layer 11 in figure is square, and certainly, also can be other shape, and such as cylindrical, when it is cylindrical, all annular regions can be complete annular regions.In addition, in Fig. 3, also can not have annular region H4 and H5, H4 and H5 now can be uniform index distribution (i.e. the position of H4 and H5 does not arrange artificial conductive micro structures).

As shown in Figures 1 to 4, described core layer 10 comprises the identical and core layer 11 be parallel to each other of multiple index distribution.Multiple core layer 11 fits tightly, each other can be bonding by double faced adhesive tape, or is fixedly connected with by bolt etc.Core layer 11 adjacent in addition also comprises packed layer 15, and packed layer 15 can air, also can be other dielectric-slab, is preferably the plate-like piece that the material identical with base material 13 is made.The base material 13 of each core layer 11 can be divided into multiple identical metamaterial unit D, each metamaterial unit D is made up of an artificial conductive micro structures 12, unit base material V and unit packed layer W, and each core layer 11 only has a metamaterial unit D in a thickness direction.Each metamaterial unit D can be identical square, it can be cube, may also be cuboid, the length physical dimension of each metamaterial unit D is not more than 1/5th (being generally 1/10th of incident electromagnetic wave wavelength) of incident electromagnetic wave wavelength, has continuous print electric field and/or magnetic responsiveness to make whole core layer to electromagnetic wave.

Under preferable case, the cube of described metamaterial unit D to be the length of side be incident electromagnetic wave wavelength 1/10th.Certainly, the thickness of packed layer can regulate, its minimum value can down to 0, that is packed layer is not needed, in such cases, base material and artificial conductive micro structures form metamaterial unit, namely the thickness that now thickness of metamaterial unit D equals unit base material V adds the thickness of artificial conductive micro structures, but now, the thickness of metamaterial unit D also will meet the requirement of 1/10th wavelength, therefore, in fact, when the thickness of metamaterial unit D is selected in 1/10th wavelength, the thickness of unit base material V is larger, then the thickness of unit packed layer W is less, when certain optimum, namely be situation as shown in Figure 2, namely the thickness of unit base material V equals the thickness of unit packed layer W, and the material of unit base material V and the identical of packed layer W.

Artificial conductive micro structures 12 of the present invention is preferably metal micro structure, and described metal micro structure is made up of one or more wire.Wire itself has certain width and thickness.Metal micro structure of the present invention preferably has the metal micro structure of isotropic electromagnetic parameter, the alabastrine metal micro structure of plane as described in Figure 2.

For the artificial conductive micro structures with plane structure, isotropism, refer to on this two dimensional surface with arbitrary electromagnetic wave of unspecified angle incidence, namely above-mentioned artificial conductive micro structures electric field response is on this plane all identical with magnetic responsiveness, and also dielectric constant is identical with magnetic conductivity; For the artificial conductive micro structures with three-dimensional structure, isotropism refers to that the electric field response of each above-mentioned artificial conductive micro structures on three dimensions is all identical with magnetic responsiveness for electromagnetic wave incident in three-dimensional either direction.When artificial conductive micro structures is 90 degree of rotational symmetry structures, namely artificial conductive micro structures has isotropic feature.

For two-dimension plane structure, 90 degree of Rotational Symmetries refer to that it to overlap with original structure after crossing any 90-degree rotation of axis of rotation of its symmetrical centre perpendicular to this plane around one on this plane; For three-dimensional structure, if have 3 axis of rotation that are vertical between two and intersection point (intersection point is center of rotation) altogether, this structure is all overlapped after arbitrary axis of rotation 90-degree rotation or symmetrical with an interface with original structure with original structure, then this structure is 90 degree of rotational symmetry structures.

The alabastrine metal micro structure of plane shown in Fig. 2 is a kind of form of isotropic artificial conductive micro structures, described alabastrine metal micro structure has the first wire 121 and the second wire 122 mutually vertically divided equally, described first wire 121 two ends are connected with two the first metal branch 1211 of equal length, described first wire 121 two ends are connected on the mid point of two the first metal branch 1211, described second wire 122 two ends are connected with two the second metal branch 1221 of equal length, described second wire 122 two ends are connected on the mid point of two the second metal branch 1221.

Known refractive index wherein μ is relative permeability, and ε is relative dielectric constant, and μ and ε is collectively referred to as electromagnetic parameter.Experiment proves, when electromagnetic wave is by refractive index dielectric material heterogeneous, and can to the large direction deviation (to the metamaterial unit deviation that refractive index is large) of refractive index.Therefore core layer of the present invention has convergence effect to electromagnetic wave, the index distribution of appropriate design core layer, and the electromagnetic wave that satellite can be made to send is by converging to after core layer on feed 1.When the material of base material and the material of packed layer are selected, the electromagnetic parameter distribution of Meta Materials inside can be obtained by the arrangement on base material of the shape of the artificial conductive micro structures of design, physical dimension and/or artificial conductive micro structures, thus design the refractive index of each metamaterial unit.First the electromagnetic parameter spatial distribution (i.e. the electromagnetic parameter of each metamaterial unit) of Meta Materials inside is calculated from the effect required for Meta Materials, the shape of the artificial conductive micro structures in each metamaterial unit is selected according to the spatial distribution of electromagnetic parameter, physical dimension (having deposited multiple artificial conductive micro structures data in computer in advance), the method of exhaustion can be used to the design of each metamaterial unit, such as first select the artificial conductive micro structures that has given shape, calculate electromagnetic parameter, by the contrast that the result obtained and we are wanted, circulation repeatedly, until till the electromagnetic parameter finding us to want, if have found, the design parameters then completing artificial conductive micro structures is selected, if do not find, then change a kind of artificial conductive micro structures of shape, repeat circulation above, until till the electromagnetic parameter finding us to want.If still do not found, then said process also can not stop.That is only have found the artificial conductive micro structures of the electromagnetic parameter that we need, program just can stop.Because this process is all completed by computer, therefore, seem complicated, in fact can complete soon.

The base material 13 of described core layer 10 is obtained by ceramic materials, macromolecular material, ferroelectric material, ferrite material or ferromagnetic material etc.Macromolecular material is available polytetrafluoroethylene (PTFE), epoxy resin, F4B composite material, FR-4 composite material etc.Such as, the electrical insulating property of polytetrafluoroethylene (PTFE) is very good, therefore can not produce interference to electromagnetic electric field, and have excellent chemical stability, corrosion resistance, long service life.In the present embodiment, in order to make can to introduce extraneous light within doors, described base material 13 is made up of the transparent material of light-permeable, described transparent material can be Merlon (PC), polystyrene (PS), ethylene-vinyl acetate copolymer (PMMA) etc., and thus it can solve some ambient light deficiency and cause problem dim within doors.

In the present invention, described metal micro structure is the wire such as copper cash or silver-colored line.The method that above-mentioned wire can be carved by etching, electroplating, bore quarter, photoetching, electronics quarter or ion is attached on base material.Certainly, three-dimensional laser processing technology can also be adopted.

As shown in Figure 1, be the structural representation of the metamaterial panel of first embodiment of the invention, in the present embodiment, described metamaterial panel also comprises the matching layer 20 being arranged on core layer both sides, to realize the index matching of from air to core layer 10.We know, the refractive index between medium is larger, then, when electromagnetic wave is from a medium incident to another medium, reflect larger.Reflection is large, means the loss of energy, at this time just needs the coupling of refractive index, known refractive index wherein μ is relative permeability, and ε is relative dielectric constant, and μ and ε is collectively referred to as electromagnetic parameter.We know that the refractive index of air is 1, therefore, when designing matching layer, the matching layer of electromagnetic wave incident side designs like this, namely the refractive index near the side of air is substantially identical with air, and the refractive index near the side of core layer is substantially identical with the core layer refractive index that it connects; The matching layer of electromagnetic wave exiting side designs, and relatively core central layer symmetry is come.Like this, just achieve the index matching of core layer, reduce reflection, namely energy loss can reduce greatly, and it is farther that such electromagnetic wave can transmit.

In the present embodiment, as shown in Figures 1 and 3, the center of circle of described border circular areas Y is the center O of core layer 11, and the variations in refractive index scope of described border circular areas Y and multiple annular region is identical, and refractive index n (r) distribution of described core layer 11 meets following formula:

$n\left(r\right)=n_{\max }-\frac{\sqrt{l^2+r^2}-l-\mathrm{k\λ}}{d}---\left(1\right);$

Wherein, n (r) represents that in core layer, radius is the refractive index value at r place; Also be that in core layer, radius is the refractive index of the metamaterial unit of r; Radius refers to the distance of mid point to the center O (center of circle) of core layer of each unit base material V herein, and the mid point of unit base material V herein, refers to the mid point on the conplane surface of unit base material V and mid point O.

L is the distance of feed 1 to the matching layer 20 close with it;

D is the thickness of core layer, $d=\frac{\mathrm{\λ}}{n_{\max }-n_{\min }}---\left(2\right);$

N _maxrepresent the refractive index maximum value in core layer 11;

N _minrepresent the refractive index minimum value in core layer 11; The variations in refractive index scope of described border circular areas Y and multiple annular region is identical, refers to border circular areas Y, and multiple annular region refractive index is all from inside to outside by n _maxbe reduced to n continuously _min.As an example, n _maxcan value 6, n _minvalue 1, that is, border circular areas Y, and multiple annular region refractive index is all be reduced to 1 continuously by 6 from inside to outside.

(3), floor represents downward round numbers; K can be used for representing the numbering of border circular areas and annular region, works as k=0, represents border circular areas, as k=1, represent first annular region adjacent with border circular areas; As k=2, represent second annular region that first annular region is adjacent; The rest may be inferred.Namely the maximum value of r has determined how many annular regions.(normally incident electromagnetic wave wavelength 1/10th) that the thickness of each core layer is normally certain, like this, when core layer shape is selected (can be cylindrical or square), the size of core layer just can be determined.

By formula (1), formula (2), the determined core layer 10 of formula (3), can ensure that electromagnetic wave convergence that satellite sends is on feed.This by computer simulation emulation, or utilizes optical principle can obtain (namely utilizing equivalent optical path to calculate).

In the present embodiment, the thickness of core layer 11 is certain, usually in less than 1/5th of incident electromagnetic wave wavelength X, is preferably 1/10th of incident electromagnetic wave wavelength X.Like this, when designing, if having selected the number of plies of core layer 11, then the thickness d of core layer just determines, therefore, for the roofing slab (wavelength is different) of different frequency, by formula (2), we know, by appropriate design (n _max-n _min) value, just can obtain arbitrarily our roofing slab of frequency wanted.Such as, C-band and Ku wave band.The frequency range of C-band is 3400MHz ~ 4200MHz.Frequency 10.7 ~ the 12.75GHz of Ku wave band, wherein can be divided into the frequency ranges such as 10.7 ~ 11.7GHz, 11.7 ~ 12.2GHz, 12.2 ~ 12.75GHz.

As shown in Figure 1, in the present embodiment, described matching layer 20 comprises multiple matching layer lamella 21, and each matching layer lamella 21 has single refractive index, and the refractive index of multiple matching layer lamellas of the matching layer of core layer both sides all meets following formula:

$n\left(i\right)={((n_{\max }+n_{\min })/2)}^{\frac{i}{m}}---\left(4\right);$

Wherein, m represents total number of plies of matching layer, and i represents the numbering of matching layer lamella, wherein, near core layer matching layer lamella be numbered m.As can be seen from formula (4) we, the refractive index relatively core central layer of the refractive index of multiple matching layer lamellas of core layer 10 side and multiple matching layer lamellas of core layer 10 side is symmetrical arranged.The setting (total number of stories m) of matching layer and the largest refractive index n of core layer _maxwith minimum refractive index n _minthere is direct relation; As i=1, represent the refractive index of the 1st layer, because it will equal the refractive index 1 of air substantially, therefore, as long as n _maxwith n _mindetermine, then can determine total number of stories m.

Matching layer 20 can be that the multiple materials with single refractive index existed by occurring in nature are made, may also be with matching layer as shown in Figure 5, it comprises multiple matching layer lamella 21, each matching layer lamella 21 comprises the identical first substrate of material 22 and second substrate 23, fills air between described first substrate 21 and second substrate 22.By controlling the ratio of the volume of air and the volume of matching layer lamella 21, refractive index can be realized from 1 (refractive index of air) to the change of the refractive index of first substrate, thus can the refractive index of each matching layer lamella of appropriate design, realize the index matching from air to core layer.

Fig. 4 is a kind of core layer 11 of form, multiple artificial conductive micro structures 12 shape of each core layer 11 of described core layer is identical, be the alabastrine metal micro structure of plane, and the central point of metal micro structure overlaps with the mid point of unit base material V, in described border circular areas and annular region, the multiple artificial conductive micro structures at same radius place has identical physical dimension, and the physical dimension of the artificial conductive micro structures 12 of increase along with radius in border circular areas and annular region region separately reduces gradually, in described border circular areas, the physical dimension of the artificial conductive micro structures that physical dimension is minimum is less than the physical dimension of the artificial conductive micro structures that physical dimension is maximum in the annular region that is adjacent, adjacent two annular regions, in annular region inside being in, the physical dimension of the artificial conductive micro structures that physical dimension is minimum is less than the physical dimension of the artificial conductive micro structures that physical dimension is maximum in the annular region outside being in.Refractive index due to each metamaterial unit reduces gradually along with the size reduction of metal micro structure, therefore artificial conductive micro structures physical dimension is larger, then the refractive index of its correspondence is larger, therefore, the distribution of index distribution by formula (1) of core layer can be realized by this mode.

According to different needs (different electromagnetic waves), and different designs needs, and core layer 10 can comprise the core layer 11 as shown in Figure 4 of the different number of plies.

The present invention also has the second embodiment, and the difference of the second embodiment and the first embodiment is that the l in refractive index n (r) distribution formula of core layer 11 represents the distance (in first embodiment l represent feed arrive the distance of with it close matching layer) of feed to core layer; Roof is assembled by the roofing slab of some small sizes, and the variations in refractive index of described roof entirety is identical with the variations in refractive index of one piece of the first embodiment large roofing slab.

In sum, the present invention is by replacing existing roofing slab by the roofing slab based on Meta Materials and it can be used as satellite signal receiving antenna, thus the present invention not only has the effect of keeping out wind and rain, but also has the effect of receiving satellite signal, achieves the multifunction of roofing slab; In addition, instead of traditional parabola antenna by the metamaterial panel of sheet, manufacture processing and be more prone to, cost is cheaper, eliminates the potential safety hazard because sleety weather causes.

By reference to the accompanying drawings embodiments of the invention are described above; but the present invention is not limited to above-mentioned detailed description of the invention; above-mentioned detailed description of the invention is only schematic; instead of it is restrictive; those of ordinary skill in the art is under enlightenment of the present invention; do not departing under the ambit that present inventive concept and claim protect, also can make a lot of form, these all belong within protection of the present invention.

Claims (8)

1. the Multifunctional roof plate based on Meta Materials, it is characterized in that, described roofing slab comprises metamaterial panel, the base material that described metamaterial panel comprises at least one lamellar and the multiple artificial conductive micro structures arranged on the substrate, described metamaterial panel can be used for that satellite is passed the electromagnetic wave signal of coming and converges on the feed of satellite television receiving system; Described metamaterial panel comprises core layer, described core layer comprises at least one core layer, described core layer comprises the described base material of sheet and arranges multiple described artificial conductive micro structures on the substrate, described core layer can be divided into according to index distribution the border circular areas that is positioned at centre position and to be distributed in around border circular areas and with multiple annular regions of the concyclic heart of described border circular areas; Described metamaterial panel also comprises the matching layer being arranged on core layer both sides, to realize the impedance matching from air to core layer; The center of circle of described border circular areas is the center of core layer, and the variations in refractive index scope of described border circular areas and multiple annular region is identical, and refractive index n (r) distribution of described core layer meets following formula:

$n\left(r\right)=n_{\max }-\frac{\sqrt{l^2+r^2}-l-\mathrm{k\λ}}{d};$

Wherein, n (r) represents that in core layer, radius is the refractive index value at r place;

L is the distance that feed arrives the matching layer close with it, or l is the distance that feed arrives core layer;

D is the thickness of core layer, $d=\frac{\mathrm{\λ}}{n_{\max }-n_{\min }};$

N _maxrepresent the refractive index maximum value in core layer;

N _minrepresent the refractive index minimum value in core layer;

$k=\mathrm{floor}\left(\frac{\sqrt{l^2+r^2}-l}{\mathrm{\λ}}\right),$ Floor represents downward round numbers.

2. the Multifunctional roof plate based on Meta Materials according to claim 1, it is characterized in that, described base material is made up of the transparent material of light-permeable.

3. the Multifunctional roof plate based on Meta Materials according to claim 1 and 2, is characterized in that,

In described border circular areas and annular region, the refractive index at same radius place is identical, and along with the increase refractive index of radius reduces gradually in border circular areas and annular region region separately, the minimum value of the refractive index of described border circular areas is less than the maximum value of the refractive index of the annular region be adjacent, adjacent two annular regions, the minimum value being in the refractive index of the annular region of inner side is less than the maximum value of the refractive index of the annular region being in outside.

4. the Multifunctional roof plate based on Meta Materials according to claim 3, is characterized in that, described core layer also comprises the packed layer covering artificial conductive micro structures.

5. the Multifunctional roof plate based on Meta Materials according to claim 4, is characterized in that, described core layer comprises the identical and core layer be parallel to each other of multiple index distribution.

6. the Multifunctional roof plate based on Meta Materials according to claim 1, it is characterized in that, described matching layer comprises multiple matching layer lamella, and each matching layer lamella has single refractive index, and the refractive index of multiple matching layer lamellas of the matching layer of core layer both sides all meets following formula:

$n\left(i\right)={((n_{\max }+n_{\min })/2)}^{\frac{i}{m}};$

Wherein, m represents total number of plies of matching layer, and i represents the numbering of matching layer lamella, wherein, near core layer matching layer lamella be numbered m.

7. the Multifunctional roof plate based on Meta Materials according to claim 3, it is characterized in that, the multiple artificial conductive micro structures shape of each core layer of described core layer is identical, in described border circular areas and annular region, the multiple artificial conductive micro structures at same radius place has identical physical dimension, and the physical dimension of the artificial conductive micro structures of increase along with radius in border circular areas and annular region region separately reduces gradually, in described border circular areas, the physical dimension of the artificial conductive micro structures that physical dimension is minimum is less than the physical dimension of the artificial conductive micro structures that physical dimension is maximum in the annular region that is adjacent, adjacent two annular regions, in annular region inside being in, the physical dimension of the artificial conductive micro structures that physical dimension is minimum is less than the physical dimension of the artificial conductive micro structures that physical dimension is maximum in the annular region outside being in.

8. the Multifunctional roof plate based on Meta Materials according to claim 1 and 2, is characterized in that, described artificial conductive micro structures is the alabastrine metal micro structure of plane or electrically conductive ink.