The present invention relates to the field of antennas, and in particular, to a feed-forward microwave antenna.
A feed-forward microwave antenna in the prior art is generally formed of a metal paraboloid and an emission source located at a focus of the metal paraboloid, where the metal paraboloid serves a purpose of reflecting an external electromagnetic wave to the emission source or reflecting an electromagnetic wave emitted by the emission source to outside. An area of the metal paraboloid and the processing precision of the metal paraboloid directly decide various parameters of the microwave antenna, such as gain and directivity.
However, the feed-forward microwave antenna in the prior art has the following shortcomings: one is that a part of electromagnetic waves reflected by the metal paraboloid is blocked by the emission source which leads to a certain energy loss, and another one is that the metal paraboloid is difficult to manufacture and costly. The metal paraboloid is generally die-cast by using a mold or is processed by using a CNC machine tool. The procedure of the first method includes: making a paraboloidal mold, die-casting a paraboloid, and mounting a paraboloidal reflective panel. The procedure is complicated and costly, and the shape of the paraboloid needs to be accurate enough to implement directional propagation of the antenna, which hence imposes high requirements on processing precision. The second method uses a large CNC machine tool to process the paraboloid, and edits a program to control a path traveled by a knife tool in the CNC machine tool, so as to cut a desired paraboloidal shape. This method makes the cutting very precise, but it is difficult to manufacture such a large CNC machine tool, which is costly.
A technical problem to be solved by the present invention is: in view of technical shortcomings in the prior art, providing a feed-forward microwave antenna characterized by a small size, cost-effectiveness, high gain, and a long transmission distance.
A technical solution to the technical problem of the present invention is that a feed-forward microwave antenna is provided. The feed-forward microwave antenna includes an emission source, a first metamaterial panel configured for diverging an electromagnetic wave emitted by the emission source, a second metamaterial panel, and a reflective panel attached to a back side of the second metamaterial panel. The electromagnetic wave is diverged when passed through the first metamaterial, is refracted when passed through the second metamaterial panel, is reflected by the reflective panel, is refracted again when passed through the second metamaterial panel again and finally exits in parallel. The first metamaterial panel comprises a first substrate and a plurality of third artificial metal microstructures cyclically distributed on the first substrate or third artificial holes cyclically distributed in the first substrate. The second metamaterial panel comprises a core layer. The core layer comprises a plurality of core metamaterial sheet layers having the same refractive index distribution. Each core metamaterial sheet layer comprises a circular region whose circle center is a center of a substrate of the core metamaterial sheet layer, and a plurality of annular regions concentric with the circular region. Refractive indexes in the circular region change in the same range as that of refractive indexes of each of the annular regions. The refractive indexes decrease continuously from a maximum refractive index np of the core metamaterial sheet layer to a minimum refractive index n0 of the core metamaterial sheet layer with increase of the radius. The refractive indexes at the same radius are the same. The core metamaterial sheet layer comprises the substrate of the core metamaterial sheet layer and a plurality of first artificial metal microstructures distributed on a surface of the substrate of the core metamaterial sheet layer or a plurality of first artificial holes cyclically distributed in a surface of the substrate of the core metamaterial sheet layer.
Further, the second metamaterial panel further comprises a first graded metamaterial sheet layer to an Nth graded metamaterial sheet layer that are symmetrically arranged on opposite sides of the core layer. The two Nth graded metamaterial sheet layers, which are symmetrically arranged, both are adjacent to the core layer. Maximum refractive indexes of the first graded metamaterial sheet layer to the Nth graded metamaterial sheet layer are n1, n2, n3 . . . nn respectively, wherein n0<m<n2<n3< . . . <nn<np. The maximum refractive index of the ath graded metamaterial sheet layer is na. The ath graded metamaterial sheet layer comprises a circular region whose circle center is a center of a substrate of the ath graded metamaterial sheet layer, and a plurality of annular regions concentric with the circular region. Refractive indexes in the circular region change in the same range as that of refractive indexes in each of the annular regions. The refractive index decreases continuously from a maximum refractive index na of the ath graded metamaterial sheet layer to a same minimum refractive index n0 shared by all graded metamaterial sheet layers and core metamaterial sheet layers with increase of the radius. The refractive indexes at the same radius are the same. Each graded metamaterial sheet layer comprises a substrate of graded metamaterial sheet layer, and a plurality of second artificial metal microstructures cyclically distributed on a surface of the substrate of the graded metamaterial sheet layer or a plurality of second artificial holes cyclically distributed in a surface of the substrate of the graded metamaterial sheet layer. All the graded metamaterial sheet layers and all the core metamaterial sheet layers make up a function layer of the second metamaterial panel.
Further, the second metamaterial panel further comprises a first matching layer to an Mth matching layer that are symmetrically arranged on opposite sides of the function layer. The two Mth matching layers, which are symmetrically arranged, both are adjacent to the first graded metamaterial sheet layer. Refractive indexes of the matching layers are distributed uniformly. The refractive index of the first matching layer adjacent to a free space is approximately equal to the refractive index of the free space. The refractive index of the Mth matching layer adjacent to the first graded metamaterial sheet layer is approximately equal to a minimum refractive index n0 of the first graded metamaterial sheet layer.
Further, an inner radius and an outer radius of each of the circular region and annular regions of each of the graded metamaterial sheet layers are respectively equal to those of each of the circular region and annular regions of each of the core metamaterial sheet layers. With change of the radius r, a relational expression of a refractive index distribution of each graded metamaterial sheet layer and each core metamaterial sheet layer is:
wherein λ is a working wavelength of the second metamaterial panel. L(j) represents an inner radius value of the circular region and the annular regions concentric with the circular region on the core metamaterial sheet layer and the graded metamaterial sheet layer. “j” represents a serial number of the region, wherein L(1) represents the first region, that is, the circular region, and L(1)=0.
Further, a dimensions change law of the first artificial metal microstructures cyclically distributed on the substrate of the core metamaterial sheet layer is as follows. The first artificial metal microstructures have the same geometric shape. The substrate of the core metamaterial sheet layer comprises a circular region whose circle center is a center of the substrate of the core metamaterial sheet layer, and a plurality of annular regions concentric with the circular region. The dimensions of the first artificial metal microstructures in the circular region change in the same range as that of the dimensions of the first artificial metal microstructures in each of the annular regions. The dimensions decrease continuously from maximum dimensions to minimum dimensions with increase of the radius. The dimensions of the first artificial metal microstructures at the same radius are the same
Further, a first graded metamaterial sheet layer to a third graded metamaterial sheet layer are symmetrically arranged on opposite sides of the core layer. A dimension change law of the second artificial metal microstructures cyclically distributed on the substrate of the graded metamaterial sheet layer is as follows. The second artificial metal microstructures have the same geometric shape. The substrate of the graded metamaterial sheet layer comprises a circular region whose circle center is a center of the substrate of the graded metamaterial sheet layer, and a plurality of annular regions concentric with the circular region. In the circular region and the annular region, the dimensions of the second artificial metal microstructures in the circular region change in the same range as that of the dimensions of the second artificial metal microstructures in each of the annular regions. The dimensions decrease continuously from maximum dimensions to minimum dimensions with increase of the radius. The dimensions of the second artificial metal microstructures at the same radius are the same.
Further, the first artificial holes are filled with a medium whose refractive index is less than that of the substrate of the core metamaterial sheet layer. A distribution law of the first artificial holes cyclically distributed in the substrate of the core metamaterial sheet layer is as follows. The substrate of the core metamaterial sheet layer comprises a circular region whose circle center is a center of the substrate of the core metamaterial sheet layer, and a plurality annular regions concentric with the circular region. The volumes of the first artificial holes in the circular region change in the same range as that of the volumes of the first artificial holes each of the annular regions. The dimensions increase continuously from minimum volumes to maximum volumes with increase of the radius. The volumes of the first artificial holes at the same radius are the same. Further, the medium is air.
Further, the second artificial holes are filled with a medium whose refractive index is less than that of the substrate of the graded metamaterial sheet layer. A distribution law of the second artificial holes cyclically distributed in the substrate of the graded metamaterial sheet layer is as follows. The substrate of the graded metamaterial sheet layer comprises a circular region whose circle center is a center of the substrate of the graded metamaterial sheet layer, and a plurality of annular regions concentric with the circular region. The volumes of the second artificial holes in the circular region change in the same range as that of the volumes of the second artificial holes in each of the annular regions. The volumes increase continuously from the minimum volume to the maximum volume with increase of the radius. The volumes of the second artificial holes are the same. Further, the medium is air.
Further, the first artificial metal microstructures, the multiple second artificial metal microstructures, and the third artificial metal microstructures have the same geometric shape.
Further, the geometric shape is an H shape, including an upright first metal branch and second metal branches located at two ends of the first metal branch and vertical to the first metal branch.
Further, the geometric shape also includes third metal branches respectively located at two ends of the second metal branches and perpendicular to the respective second metal branches.
Further, the geometric shape is a planar snowflake shape, including two first metal branches perpendicular to each other and second metal branches respectively located at two ends of the first metal branches and perpendicular to the respective first metal branches.
Further, refractive indexes of the first metamaterial panel are distributed in a circular shape whose circle center is a center point of the first metamaterial panel. The refractive index at the circle center has a minimum value. The refractive index corresponding to the radius increases with increase of the radius. The refractive index at the same radius is the same.
Further, the first metamaterial panel is formed of a plurality of first metamaterial sheet layers having the same refractive index distribution. The third artificial metal microstructures are distributed on the first substrate in a circular shape whose circle center is a center point of the first metamaterial panel. The dimensions of the third artificial metal microstructure at the circle center have the minimum values. The dimensions of the third artificial metal microstructure corresponding to the radius increase with increase of the radius. The dimensions of the third artificial metal microstructures at the same radius are the same.
Further, the first metamaterial panel is formed of a plurality of first metamaterial sheet layers having the same refractive index distribution. The third artificial holes are filled with a medium whose refractive index is less than that of the first substrate. A distribution law of the third artificial holes cyclically distributed in the first substrate is as follows. A center point of the first metamaterial panel serves as a circle center. The third artificial holes at the circle center have a maximum volume. The volumes of the third artificial holes at the same radius are the same. The volumes of the third artificial holes decrease with increase of the radius. Further, the medium is air.
Implementation of the technical solution of the present invention brings the following beneficial effects: by designing the refractive index change on a core layer and a graded layer of a metamaterial panel and between them, an electromagnetic wave emitted by an emission source is converted into a planar wave after being refracted twice, thereby improving convergence performance of the antenna, decreasing reflection loss significantly, avoiding decrease of electromagnetic energy, increasing the transmission distance, and improving antenna performance. Further, a metamaterial with a divergence function is arranged in front of the emission source, which increases the short-distance emission scope of the emission source, so that the overall dimensions of the feed-forward microwave antenna become less, and the electromagnetic wave reflected back by the core layer bypasses the emission source without generating any emission source shadow and causing energy loss. Further, an artificial metal microstructure or artificial pore structure to make up the metamaterial in the present invention, which brings beneficial effects of a simple process and low costs.
The following describes the present invention in more detail with reference to accompanying drawings and embodiments. In the accompanying drawings:
Light is a type of electromagnetic wave. When light penetrates glass, because the wavelength of the light is far greater than the dimensions of an atom, we can describe a response of the glass to the light by using overall parameters of the glass such as a refractive index of the glass, rather than detailed parameters of the atoms that make up the glass. Correspondingly, in researching the response of a material to other electromagnetic waves, the response of any structure in the material to the electromagnetic wave may also be described by the overall parameters such as permittivity ε and permeability μ of the material, where the dimensions of the structure are far less than the wavelength of the electromagnetic wave. Through design of the structure at each point of the material, the permittivity and the permeability at each point of the material are the same or different, so that the overall permittivity and the overall permeability of the material are distributed regularly. The regularly distributed permeability and permittivity can cause the material to make a macro response to the electromagnetic wave, for example, converge the electromagnetic wave, diverge the electromagnetic wave, and the like. Such a material with regularly distributed permeability and permittivity is called metamaterial.
Referring to
Referring to
The first metamaterial panel 30 may be directly attached to an emission port of the emission source 20. However, if the first metamaterial panel 30 is directly attached to the emission port of the emission source 20, a part of the electromagnetic wave emitted by the emission source 20 is reflected by the first metamaterial panel 30, which leads to energy loss. Therefore, in the present invention, the first metamaterial panel 30 is arranged in front of the emission source 20. The first metamaterial panel 30 is formed of a plurality of first metamaterial sheet layers 300 that have the same refractive index distribution.
The basic unit that makes up the first metamaterial sheet layer 300 is still shown in
More specifically, in the present invention, the refractive index distribution law on the first metamaterial sheet layer 300 may be a linear change, that is, n(R)=nmin+KR, where K is a constant, R is a straight-line distance from a center point of the basic unit of the metamaterial to a center point of the first substrate, where the basic unit of metamaterial is attached to by the third artificial metal microstructures distributed in a circular shape, and nmin is a refractive index value of the first substrate at the center point thereof. In addition, the refractive index distribution law on the first metamaterial sheet layer 300 may also be a change according to a square law, that is, n(R)=nmin+KR2; or may be a change according to a cubic law, that is, n(R)=nmin+KR3; or may be a change according to a power function, that is, n(R)=nmin*KR. As seen from the change formulas of the first metamaterial sheet layer 300, it is appropriate only if the first metamaterial sheet layer 300 can diverge the electromagnetic wave emitted by the emission source.
The second metamaterial panel of the microwave antenna of the present invention is described in detail as following. The electromagnetic wave diverged by the first metamaterial panel is refracted when it is passed through the second metamaterial panel, and then is reflected by the reflective panel. The reflected electromagnetic wave is refracted again when it is passed through the second metamaterial panel again, so that the diverged spherical electromagnetic wave is emitted as a planar electromagnetic wave that is more suitable for long-distance transmission. Referring to
The structure of the matching layer is similar to that of the first metamaterial sheet layer, is formed of an overlayer and a substrate, and differs from the first metamaterial sheet layer in that air is filled in a gap between the overlayer and the substrate. By changing the spacing between the overlayer and the substrate, the duty cycle of the air is changed, so that the matching layers have different refractive indexes.
The basic units that make up the core metamaterial sheet layer and the graded metamaterial sheet layer are shown in
The core metamaterial sheet layers and the graded metamaterial sheet layers each are divided into a circular region and a plurality of annular regions concentric with the circular region. With increase of the radius, the refractive indexes in each of the circular region and the annular regions decrease continuously from a maximum refractive index of the respective sheet layer to n0. The refractive index values of the basic units of metamaterial located at the same radius is the same. The core metamaterial sheet layer has a maximum refractive index of np, and the maximum refractive indexes of the first graded metamaterial sheet layer to the Nth graded metamaterial sheet layer are n1, n2, n3 . . . np, where n0<n1<n2<n3 . . . np<np. An inner radius and an outer radius of each of the circular region and annular regions of each of the graded metamaterial sheet layers are respectively equal to those of each of the circular region and annular regions of each of the core metamaterial sheet layers. With change of the radius r, a refractive index distribution of each of the graded metamaterial sheet layers and core metamaterial sheet layers is:
where λ is a working wavelength of the second metamaterial panel; the working wavelength of the second metamaterial panel is determined in practical application; as seen from the description about the metamaterial sheet layer, the thickness of each metamaterial sheet layer in this embodiment is 0.818 millimeters, and the “d” can be determined after the working wavelength of the second metamaterial panel is determined, so that the layer number of the metamaterial sheet layers in practical application is obtained; and L(j) represents an inner radius value of the circular region and the multiple annular regions concentric with the circular region on the core metamaterial sheet layer and the graded metamaterial sheet layer, and j represents a serial number of the region, where L(1) represents the first region, that is, the circular region, and L(1)=0.
A preferred method for determining L(j) is described as following. When the electromagnetic waves emitted by the emission source enter the first graded metamaterial sheet layer, due to different exit angles, the electromagnetic waves that enter the first graded metamaterial sheet layer travel different optical path lengths. The “s” is a vertical distance from the emission source to the first graded metamaterial sheet layer, and is also the shortest optical path length traveled by the electromagnetic wave that enters the first graded metamaterial sheet layer. In this case, the incident point corresponds to the inner radius of the circular region of the first graded metamaterial sheet layer, that is, when j=1, correspondingly L(1)=0. When an electromagnetic wave emitted by the emission source enters the first graded metamaterial sheet layer, the traveled optical path length is s+λ, a distance from the incident point of the electromagnetic wave to an incident point in the case of vertical incidence is an inner radius of the first annular region of the annular regions, and is also an outer radius of the circular region. According to the mathematic formula, when j=2, correspondingly L(2)=√{square root over ((s+λ)2−s2)}, where λ is the wavelength value of the incident electromagnetic wave. When an electromagnetic wave emitted by the emission source enters the first graded metamaterial sheet layer, the traveled optical path length is s+2λ, a distance from the incident point of the electromagnetic wave to an incident point in the case of vertical incidence is an inner radius of the second annular region of the annular regions, and is also an outer radius of the first annular region. According to the mathematic formula, when j=3, correspondingly L(3)=√{square root over ((s+2λ)2−s2)}. By analogy, the inner radius and the outer radius of the circular region and each annular region concentric with the circular region can be obtained.
To express the change law more intuitively, a schematic diagram of refractive indexes of the core layer that vary with the radius on is shown in
The above has described in detail the overall refractive index distribution relationship of the first metamaterial panel and the second metamaterial panel. According to principles of the metamaterial, it can be seen that the dimensions and the pattern of the artificial metal microstructures attached to the substrate directly determine the refractive index value of each point of the metamaterial. In addition, experiments show that, for the artificial metal microstructures with the same geometry, the greater the dimensions are, the greater the corresponding refractive index of the basic unit of metamaterial is. In the present invention, the first artificial metal microstructures, the second artificial metal microstructures, and the third artificial metal microstructures have the same geometric shape. Therefore, the distribution law of the third artificial metal microstructures on the first metamaterial sheet layer that makes up the first metamaterial panel is: the third artificial microstructures are the third artificial metal microstructures and have the same geometric shape; the third artificial metal microstructures on the first substrate are distributed in a circular shape whose circle center is a center point of the first substrate, the third artificial metal microstructure at the circle center have minimum dimensions, the dimensions of the third artificial metal microstructure corresponding to the radius increase with increase of the radius, and the dimensions of the third artificial metal microstructures are same at the same radius. The distribution law of the second artificial metal microstructures on the graded metamaterial sheet layer is: the second artificial metal microstructures have the same geometric shape; the substrate of the graded metamaterial sheet layer includes a circular region whose circle center is a center of the substrate of the graded metamaterial sheet layer, and a plurality of annular regions concentric with the circular region; the dimensions of the second artificial metal microstructures in the circular region change in the same range as that of the dimensions of the second artificial metal microstructures in each annular region, and, with increase of the radius, the dimensions decrease continuously from maximum dimensions to minimum dimensions, and the dimensions of the second artificial metal microstructures at the same radius are same. The distribution law of the first artificial metal microstructures on the core metamaterial sheet layer is: the first artificial metal microstructures have the same geometric shape, the substrate of the core metamaterial sheet layer includes a circular region whose circle center is a center of the substrate of the core metamaterial sheet layer, and a plurality of annular regions concentric with the circular region, the dimensions of the first artificial metal microstructures in the circular region change in the same range as that of the dimensions of the first artificial metal microstructures in each annular region, and, with increase of the radius, the dimensions decrease continuously from maximum dimensions to minimum dimensions, and the dimensions of the first artificial metal microstructures at the same radius are same.
The artificial metal microstructures that satisfy the refractive index distribution requirements of the first metamaterial panel and the second metamaterial panel described above have many types of geometric shapes, and they generally are geometric shapes that can respond to incident electromagnetic waves. Because it is difficult to change the magnetic field of the incident electromagnetic wave, most artificial metal microstructures currently available have the geometric shape that can respond to the electric field of the incident electromagnetic waves. A most typical one is an H-shaped artificial metal microstructure. Several geometric shapes of artificial metal microstructures are described in detail as following. According to the maximum refractive index and the minimum refractive index required by the first metamaterial panel and the second metamaterial panel, the dimensions of the artificial metal microstructure may be adjusted to meet requirements. The adjustment manner may be computer simulation or manual computing, which is not the essence of the present invention and is hence not detailed herein.
As shown in
Referring to
Referring to
The first metamaterial panel 30′ may be directly attached to an emission port of the emission source 20. However, when the first metamaterial panel 30′ is directly attached to the emission port of the emission source 20, a part of the electromagnetic wave emitted by the emission source 20 is reflected by the first metamaterial panel 30′, which leads to energy loss. Therefore, in the present invention, the first metamaterial panel 30′ is arranged in front of the emission source 20. The first metamaterial panel 30′ is formed of a plurality of first metamaterial sheet layers 300′ having the same refractive index distribution. Referring to
The basic unit that makes up the first metamaterial sheet layer 300′ is still shown in
More specifically, in the present invention, the refractive index distribution law on the first metamaterial sheet layer 300′ may be linear change, that is, n(R)=KR, where K is a constant, R is a straight-line distance from a center point of the basic unit of the metamaterial to a center point of the first substrate, where the basic unit of the metamaterial defines the third artificial holes distributed in a circular shape, and nmin is a refractive index value at the center point of the first substrate. In addition, the refractive index distribution law of the first metamaterial sheet layer 300′ may also be a change according to a square law, that is, n(R)=nmin+KR2; or may be a change according to a cubic law, that is, n(R)=nmin+KR3; or may be a change according to a power function, that is, n(R)=nmin*KR. As seen from the change formulas of the first metamaterial sheet layer 300′, it is appropriate only if the first metamaterial sheet layer 300′ can diverge the electromagnetic wave emitted by the emission source.
The second metamaterial panel of the feed-forward microwave antenna of the present invention is described in detail as following. The electromagnetic wave diverged by the first metamaterial panel is refracted when it is passed through the second metamaterial panel, and then is reflected by the reflective panel. The reflected electromagnetic wave is passed through the second metamaterial panel again and is refracted again, so that the diverged spherical electromagnetic wave is emitted as a planar electromagnetic wave that is more suitable for long-distance transmission. Referring to
In this embodiment, the matching layer is formed of sheet layers with a cavity 1111 therein. The greater the size of the cavity is, the less the refractive index of the sheet layers is. Gradual change of the size of the cavity causes a gradual change of the refractive index of each matching layer. A sectional view of the matching layer is shown in
Basic units that make up the core metamaterial sheet layer and the graded metamaterial sheet layer are shown in
The core metamaterial sheet layers and the graded metamaterial sheet layers each are divided into a circular region and multiple annular regions concentric with the circular region. The refractive indexes in the circular region and the annular region decrease continuously from a maximum refractive index of each sheet layer to n0 with increase of the radius. The refractive index values of the basic unit of the metamaterial located at the same radius are equal. The core metamaterial sheet layer has a maximum refractive index of np. The maximum refractive indexes of the first graded metamaterial sheet layer to the Nth graded metamaterial sheet layer are n1, n2, n3 . . . nn, where n0<n1<n2<n3 . . . nn<np. An inner radius and an outer radius of each of the circular region and annular regions of each of the graded metamaterial sheet layers are respectively equal to those of each of the circular region and annular regions of each of the core metamaterial sheet layers. With change of the radius r, a refractive index distribution of each of the graded metamaterial sheet layers and core metamaterial sheet layers is:
where λ is a working wavelength of the second metamaterial panel; the working wavelength of the second metamaterial panel is determined in practical application; as seen from the description about the metamaterial sheet layer, the thickness of each metamaterial sheet layer in this embodiment is 0.818 millimeters, and the “d” can be determined after the working wavelength of the second metamaterial panel is determined, so that the layer number of the metamaterial sheet layers in practical application is obtained; and L(j) represents an inner radius value of the circular region and the multiple annular regions concentric with the circular region on the core metamaterial sheet layer and the graded metamaterial sheet layer, and j represents a serial number of the region, where L(1) represents the first region, that is, the circular region, and L(1)=0.
A preferred method for determining L(j) is described as following. When the electromagnetic waves emitted by the emission source enter the first graded metamaterial sheet layer, due to different exit angles, the electromagnetic waves that enter the first graded metamaterial sheet layer travel different optical path lengths. The “s” is a vertical distance from the emission source to the first graded metamaterial sheet layer, and is also the shortest optical path length traveled by the electromagnetic wave that enters the first graded metamaterial sheet layer. In this case, the incident point corresponds to the inner radius of the circular region of the first graded metamaterial sheet layer, that is, when j=1, correspondingly L(1)=0. When an electromagnetic wave emitted by the emission source enters the first graded metamaterial sheet layer, the traveled optical path length is s+λ, a distance from the incident point of the electromagnetic wave to an incident point in the case of vertical incidence is an inner radius of the first annular region of the multiple annular regions, and is also an outer radius of the circular region. According to the mathematic formula, when j=2, correspondingly L(2)=√{square root over ((s+λ)2−s2)}, where λ is the wavelength value of the incident electromagnetic wave. When an electromagnetic wave emitted by the emission source enters the first graded metamaterial sheet layer, the traveled optical path length is s+2λ, a distance from the incident point of the electromagnetic wave to an incident point in the case of vertical incidence is an inner radius of the second annular region of the multiple annular regions, and is also an outer radius of the first annular region. According to the mathematic formula, when j=3, correspondingly L(3)=√{square root over ((s+2λ)2−s2)}. By analogy, the inner radius and the outer radius of the circular region and each of the annular regions concentric with the circular region can be obtained.
The foregoing change law can be seen from
The above has described in detail the overall refractive index distribution relationship of the first metamaterial panel and the second metamaterial panel. According to principles of the metamaterial, it can be seen that the dimensions of the artificial holes in the substrate directly determine the refractive index value of each point of the metamaterial. In addition, experiments show that, when the artificial holes are filled with a medium whose refractive index is less than that of the substrate, the greater the size of the artificial pore structure is, the less the corresponding refractive index of the basic unit of the metamaterial is. In the present invention, the distribution law of the third artificial holes in the first metamaterial sheet layers that make up the first metamaterial panel is: the third artificial holes are filled with a medium whose refractive index is less than that of the first substrate, the basic units of the first metamaterial sheet layer are distributed on the first substrate in a circular shape whose circle center is a center point of the first substrate, the volumes of the third artificial hole in the basic unit of the first metamaterial sheet layer at which the circle center is located have a maximum value, the volumes of the third artificial hole increase with increase of the radius, and the volumes of the third artificial holes are same at the same radius. The distribution law of the second artificial holes in the graded metamaterial sheet layer is: the second artificial holes are filled with a medium whose refractive index is less than that of the substrate of the graded metamaterial sheet layer, the substrate of the graded metamaterial sheet layer includes a circular region whose circle center is a center point of the substrate of the graded metamaterial sheet layer, and a plurality of annular regions concentric with the circular region, the volumes of the second artificial holes in the circular region defined the basic units of the graded metamaterial sheet layer change in the same range as those of the second artificial holes in each of the annular regions defined in the basic units of the graded metamaterial sheet layer, the volumes of the second artificial holes defined in the basic units of the graded metamaterial sheet layer increase continuously from minimum dimensions to maximum dimensions with increase of the radius, and the volumes of the second artificial holes defined in the basic units of the graded metamaterial sheet layer at the same radius are the same. The distribution law of the first artificial holes on the core metamaterial sheet layer is: the first artificial holes are filled with a medium whose refractive index is less than that of the substrate of the core metamaterial sheet layer, the substrate of the core metamaterial sheet layer includes a circular region whose circle center is a center point of the substrate of the graded metamaterial sheet layer, and a plurality of annular regions concentric with the circular region, the volumes of the first artificial holes in the circular region defined in the basic units of the core metamaterial sheet layer change in the same range as that of the volumes of the first artificial holes in each of the annular regions defined in the basic units of the core metamaterial sheet layer, the volumes of the first artificial holes defined in the basic units of the core metamaterial sheet layer increase continuously from minimum dimensions to maximum dimensions with increase of the radius, and the volumes of the first artificial holes defined in the basic units of the core metamaterial sheet layer at the same radius are the same. The medium having a refractive index less than that of the substrate and stuffed in the first artificial hole, the second artificial hole, and the third artificial hole is air.
It can be inferred that, when the refractive index of the medium stuffed in the first artificial hole, the second artificial hole, and the third artificial hole is greater than that of the substrate, the distribution law of volumes of the artificial holes is contrary to the foregoing distribution law.
The shape of the artificial holes that satisfy the refractive index distribution requirements of the first metamaterial panel and the second metamaterial panel is not limited so long as the volumes of artificial holes defined in the basic units of the metamaterial satisfy the foregoing distribution law. In addition, a plurality of artificial holes with the same volume may also be formed in each basic unit of the metamaterial. In this case, the sum of dimensions of the artificial holes in each basic unit of the metamaterial needs to satisfy the foregoing distribution law.
Although the embodiments of the invention have been described with reference to accompanying drawings, the invention is not limited to the specific implementation manners. The specific implementation manners are merely illustrative rather than restrictive. As enlightened by the present invention, persons of ordinary skill in the art may derive many other implementation manners without departing from the ideas of the present invention and the protection scope of the claims of the present invention, which shall all fall within the protection scope of the present invention.
Number | Date | Country | Kind |
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201110210400.1 | Jul 2011 | CN | national |
201110210421.3 | Jul 2011 | CN | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/CN2011/082820 | 11/24/2011 | WO | 00 | 5/24/2014 |