CN102856660B - Artificial composite material and artificial composite material antenna - Google Patents

Abstract

The invention relates to an artificial composite material and an artificial composite material antenna. The artificial composite material is oppositely arranged in the electromagnetic wave propagation direction of a radiation source, wherein the included angle between the line connecting the radiation source and a point on a first surface of the artificial composite material and a straight line vertical to the artificial composite material is supposed to be theta; the included angle theta only corresponds to a curved surface in the artificial composite material; the refractive index of each part on the curved surface is the same; the generatrix of the curved surface is an elliptic arc; the refractive index of the artificial composite material gradually decreases along with increase of the included angle theta; and the electromagnetic waves are jetted from the top surface of each torus in parallel after passing through the artificial composite material. The artificial composite material and the artificial composite material antenna have the following beneficial effects that by designing the jump of the refractive index of the artificial composite material into a curved surface, the refraction, diffraction and reflection effects in the jump positions are greatly reduced and the problems caused by mutual interference are reduced, so that the artificial composite material and the artificial composite material antenna have more excellent performances.

Description

A kind of artificial composite material and manual composite material antenna

Technical field

The present invention relates to electromagnetic arts, more particularly, relate to a kind of artificial composite material and manual composite material antenna.

Background technology

In the optics of routine, utilize lens that plane wave can be made after lens reflection to become spherical wave, this spherical wave seems give off from the point-source of light lens virtual focus.Dispersing of current lens relies on the refraction of the spherical shape of lens to realize.Inventor, in enforcement process of the present invention, finds that lens antenna at least exists following technical problem: the volume of lens is large and heavy, is unfavorable for miniaturized use; Lens have very large dependence for shape, need the direction propagation that more precisely could realize antenna; Reflection of electromagnetic wave interference and loss ratio are comparatively serious, and electromagnetic energy reduces.And the saltus step of the refractive index of most lens antenna is simple and perpendicular to the straight line of lens surface along one, causes electromagnetic wave comparatively large through the refraction of lens, diffraction and reflection, have a strong impact on lens performance.

Summary of the invention

The technical problem to be solved in the present invention is, the defect comparatively large for the above-mentioned refraction of prior art, diffraction and reflection, lens performance is poor, provides a kind of high performance artificial composite material and manual composite material antenna.The technical solution adopted for the present invention to solve the technical problems is: construct a kind of artificial composite material, be relatively arranged on electromagnetic wave propagation direction, plane electromagnetic wave incides the first surface of described artificial composite material and penetrates with the form of spherical wave at the second surface relative with described first surface; Injection electromagnetic wave oppositely extend intersect at described artificial composite material virtual focus on;

If on virtual focus and described artificial composite material second surface any line and perpendicular to artificial composite material straight line between angle be θ, a curved surface in the unique corresponding described artificial composite material of angle theta, the set with the point of identical angle theta forms the border of the unique corresponding curved surface of angle theta, and the refractive index of everywhere is all identical on the unique corresponding curved surface of angle theta, the bus of described curved surface is parabolic arc; The refractive index of described artificial composite material increases gradually along with the increase of angle theta.

In artificial composite material of the present invention, the refraction index profile of described curved surface meets:

$n\left(\mathrm{\θ}\right)=\frac{1}{S\left(\mathrm{\θ}\right)}[\frac{(F+d)}{\cos \mathrm{\θ}}-(F+d)+n_{\min }d];$

Wherein S (θ) arc length that is described parabolic arc, F is the distance of described virtual focus to described artificial composite material, and d is the thickness of described artificial composite material; n _minfor the minimum refractive index of described artificial composite material.

In artificial composite material of the present invention, the arc length S (θ) of described parabolic arc meets:

$S\left(\mathrm{\θ}\right)=\frac{d}{2}[\frac{\log \left(\right|\tan \mathrm{\θ}|+\sqrt{1+{\tan }^2\mathrm{\θ}})+\mathrm{\δ}}{\left|\tan \mathrm{\θ}\right|+\mathrm{\δ}}+\sqrt{1+{\tan }^2\mathrm{\θ}}];$

Wherein, δ is for presetting decimal.

In artificial composite material of the present invention, with through the center of described artificial composite material second surface and perpendicular to the straight line of described artificial composite material for axis of abscissas, to be parallel to the straight line of described second surface for axis of ordinates through the center of described artificial composite material second surface, the parabolic equation at described parabolic arc place is:

$y\left(x\right)=\tan \mathrm{\θ}(-\frac{1}{2d}{x}^2+x+F+d).$

In artificial composite material of the present invention, in angle theta and parabolic arc, every bit (x, y) meets following relational expression:

$\mathrm{\θ}(x,y)={\tan }^{-1}\left[\frac{2\mathrm{dy}}{2d(F+d+x)-x^2}\right].$

The present invention also provides a kind of manual composite material antenna, comprises radiation source and is arranged on the artificial composite material on Electromagnetic Wave Propagation direction; Plane electromagnetic wave incides the first surface of described artificial composite material and penetrates with the form of spherical wave at the second surface relative with described first surface; Injection electromagnetic wave oppositely extend intersect at described artificial composite material virtual focus on;

If on virtual focus and described artificial composite material second surface any line and perpendicular to artificial composite material straight line between angle be θ, a curved surface in the unique corresponding described artificial composite material of angle theta, the set with the point of identical angle theta forms the border of the unique corresponding curved surface of angle theta, and the refractive index of everywhere is all identical on the unique corresponding curved surface of angle theta, the bus of described curved surface is parabolic arc; The refractive index of described artificial composite material increases gradually along with the increase of angle theta.

In manual composite material antenna of the present invention, the refraction index profile of described curved surface meets:

$n\left(\mathrm{\θ}\right)=\frac{1}{S\left(\mathrm{\θ}\right)}[\frac{(F+d)}{\cos \mathrm{\θ}}-(F+d)+n_{\min }d];$

Wherein S (θ) arc length that is described parabolic arc, F is the distance of described virtual focus to described artificial composite material, and d is the thickness of described artificial composite material; n _minfor the minimum refractive index of described artificial composite material.

In manual composite material antenna of the present invention, the arc length S (θ) of described parabolic arc meets:

$S\left(\mathrm{\θ}\right)=\frac{d}{2}[\frac{\log \left(\right|\tan \mathrm{\θ}|+\sqrt{1+{\tan }^2\mathrm{\θ}})+\mathrm{\δ}}{\left|\tan \mathrm{\θ}\right|+\mathrm{\δ}}+\sqrt{1+{\tan }^2\mathrm{\θ}}];$

Wherein, δ is for presetting decimal.

In manual composite material antenna of the present invention, with through the center of described artificial composite material second surface and perpendicular to the straight line of described artificial composite material for axis of abscissas, to be parallel to the straight line of described second surface for axis of ordinates through the center of described artificial composite material second surface, the parabolic equation at described parabolic arc place is:

$y\left(x\right)=\tan \mathrm{\θ}(-\frac{1}{2d}{x}^2+x+F+d).$

In manual composite material antenna of the present invention, in angle theta and parabolic arc, every bit (x, y) meets following relational expression:

$\mathrm{\θ}(x,y)={\tan }^{-1}\left[\frac{2\mathrm{dy}}{2d(F+d+x)-x^2}\right].$

Implement technical scheme of the present invention, there is following beneficial effect: the saltus step of the refractive index of artificial composite material is designed to the curved that bus is parabolic arc, thus greatly reduce the refraction of saltus step place, diffraction and reflection effect, alleviate the problem interfering with each other and bring, make artificial composite material and manual composite material antenna have more excellent performance.

Accompanying drawing explanation

Below in conjunction with drawings and Examples, the invention will be further described, in accompanying drawing:

Fig. 1 is that the artificial composite material of foundation one embodiment of the invention is to electromagnetic disperse function schematic diagram;

Fig. 2 is the schematic shapes of the unique corresponding curved surface of an angle theta in the artificial composite material 10 shown in Fig. 1;

Fig. 3 show in Fig. 2 the end view of artificial composite material 10;

Fig. 4 is the parabolic arc schematic diagram shown in Fig. 3;

Fig. 5 is the schematic diagram of variations in refractive index;

Fig. 6 is the coordinate schematic diagram of parabolic arc;

Fig. 7 is the refractive index profile of artificial composite material 10 in yx plane.

Embodiment

Fig. 1 is that artificial composite material 10 is relatively arranged on the Electromagnetic Wave Propagation direction of radiation source according to the artificial composite material 10 of one embodiment of the invention to electromagnetic disperse function schematic diagram.Plane electromagnetic wave incides the first surface A of described artificial composite material and penetrates with the form of spherical wave at the second surface B relative with first surface A.The electromagnetic wave of injection oppositely extends and intersects on the virtual focus J of described artificial composite material.

As common practise, we are known, electromagnetic refractive index with proportional, when a branch of electromagnetic wave by a kind of Medium Propagation to another medium time, electromagnetic wave can reflect, when the refraction index profile of material inside is non-homogeneous, electromagnetic wave will to the larger position deviation of refractive index ratio, by the electromagnetic parameter of every bit in design artificial composite material, just can adjust the refraction index profile of artificial composite material, and then reach the object changing electromagnetic wave propagation path.

Fig. 2 is the schematic shapes of the unique corresponding curved surface of an angle theta in the artificial composite material 10 shown in Fig. 1.As shown in the figure, if virtual focus J and artificial composite material 10 second surface B (surface relative with A) upper any line and through artificial composite material 10 first surface A center O and perpendicular to artificial composite material 10 straight line between angle be θ, a curved surface Cm in the unique corresponding described artificial composite material 10 of angle theta, the set with the point of identical angle theta forms the border (being illustrated as circumference 11) of the unique corresponding curved surface Cm of angle theta, and the refractive index of everywhere is all identical on the unique corresponding curved surface Cm of angle theta, the bus of this curved surface is parabolic arc m.The refractive index of artificial composite material 10 increases gradually along with the increase of angle theta.

As shown in Figure 2, the bus of curved surface Cm is parabolic arc m, and curved surface Cm to be rotated around L by parabolic arc m straight line and forms.Fig. 3 shows the end view of artificial composite material 10.The thickness of artificial composite material 10 is as shown in figure d, and L represents the straight line perpendicular to artificial composite material.The side cross-sectional, view of the curved surface that refractive index is identical is two sections of parabolic arc, symmetrical relative to L.Parabolic arc shown in solid line is the bus of a virtual curved face in artificial composite material 10.In order to the refractive index more clearly described on identical curved surface is identical, the virtual curved face (reality does not exist, and is for convenience, the curved surface fictionalized) of artificial composite material inside is also set forth.As shown in Figure 4, radiation source and upper 1 O1 of artificial composite material second surface B line and through first surface center O and perpendicular to artificial composite material 10 straight line L between angle be θ ₁, corresponding parabolic arc is m1, and on the virtual curved face that this parabolic arc m1 rotates, the refractive index of everywhere is all identical.In like manner, the angle on radiation source and artificial composite material second surface between the line of 1 O2 and straight line L is θ ₂, corresponding parabolic arc is m2, and on the virtual curved face that this parabolic arc m2 rotates, the refractive index of everywhere is all identical.

The refraction index profile of virtual curved face meets: $n\left(\mathrm{\θ}\right)=\frac{1}{S\left(\mathrm{\θ}\right)}[\frac{(F+d)}{\cos \mathrm{\θ}}-(F+d)+n_{\min }d].$ As shown in Figure 5, the wherein arc length of S (θ) bus (parabolic arc m) that is virtual curved face, F is the distance of virtual focus J to artificial composite material 10, and d is the thickness of artificial composite material 10; n _minfor the minimum refractive index of artificial composite material, n _maxfor the largest refractive index of artificial composite material.

The arc length S (θ) of parabolic arc m meets:

$S\left(\mathrm{\θ}\right)=\frac{d}{2}[\frac{\log \left(\right|\tan \mathrm{\θ}|+\sqrt{1+{\tan }^2\mathrm{\θ}})+\mathrm{\δ}}{\left|\tan \mathrm{\θ}\right|+\mathrm{\δ}}+\sqrt{1+{\tan }^2\mathrm{\θ}}];$ Wherein, δ is for presetting decimal, and such as 0.0001, δ can ensure the ratio when angle theta is close to 0 convergence.Angle theta span is

As shown in Figure 6, with through artificial composite material 10 second surface center O and perpendicular to the straight line L of artificial composite material 10 for axis of abscissas, with through artificial composite material 10 second surface center O and be parallel to the straight line of second surface for axis of ordinates, on virtual focus J and B face, the line of certain 1 O ' and the angle of x-axis are θ.In angle theta and parabolic arc, every bit (x, y) meets following relational expression:

$\mathrm{\θ}(x,y)={\tan }^{-1}\left[\frac{2\mathrm{dy}}{2d(F+d+x)-x^2}\right].$

Suppose that the parabolic equation at the parabolic arc m place on parabola shown in solid line is: y (x)=ax ²+ bx+c.This parabola through point (0, (F+d) tan θ), i.e. y (0)=c=(F+d) tan θ.In order to make electromagnetic wave propagate along designed parabolical direction, then need to make electromagnetic wave parallel with x-axis through the tangent line of artificial composite material first surface A parabolic arc, namely ensure y ' (d)=0.Due to y ' (x)=2ax+b, therefore y ' (d)=2ab+b=0.When also will ensure that electromagnetic wave arrives artificial composite material second surface B in addition, electromagnetic wave is propagated along the tangential direction that angle theta is corresponding, therefore y ' (0)=tan θ.The direction of the electromagnetic exit direction of any point O ' to be the center of circle the be radius JO ' at center of circle J and this O ' place in the ball E of J on B face, also namely perpendicular to the direction on ball E surface.Can obtain parabolical equation by above several condition is $y\left(x\right)=\tan \mathrm{\θ}(-\frac{1}{2d}{x}^2+x+F+d).$ The relational expression of every bit (x, y) on angle theta and parabolic arc m can be obtained thus $\mathrm{\θ}(x,y)={\tan }^{-1}\left[\frac{2\mathrm{dy}}{2d(F+d+x)-x^2}\right].$

A curved surface in the unique corresponding artificial composite material of angle theta, this curved surface is rotated around L (x-axis) by bus m, and on unique this corresponding curved surface of angle theta, the refractive index of everywhere is all identical.

Artificial composite material can be used for the plane wave-wave of radiation emission to be converted to spherical wave.Its refractive index is along with the increase of angle theta is from n _minincrease to n _max, as shown in Figure 7.Parabola segmental arc on parabola shown in solid line is the bus of a virtual curved face, and the refractive index on identical curved surface is identical.Be understandable that, artificial composite material provided by the invention also can be applicable to the situation that spherical wave is converted to plane wave, is also the reversible sight in Fig. 1, and the structure of artificial composite material itself is without the need to changing.Therefore, as long as the various application scenarioss applied principle of the present invention and carry out all belong to protection scope of the present invention.

Artificial composite material, when the structural design of reality, can be designed as multiple artificial composite material lamella, and each lamella comprises the substrate of sheet and multiple man-made microstructure of adhering on the substrate or artificial foramen structure.Refraction index profile demand fulfillment overall after multiple artificial composite material lamella combines or approximately meet above-mentioned formula, make the refraction index profile on same curved surface identical, the busbar of curved surface is parabolic arc.Certainly, when actual design, it is more difficult to be designed to accurate parabolic arc, and can be designed to the parabolic arc that is similar to or stepped as required, concrete levels of precision can be selected according to needs.Along with the continuous progress of technology, the mode of design also can be constantly updated, and may have better artificial composite material design technology to realize refractive index provided by the invention arrangement.

For man-made microstructure, each described man-made microstructure is the plane with geometrical pattern or stereochemical structure that are made up of at least one one metal wire, such as but not limited to " work " font, " ten " font or parabola shaped.Wire can be copper wire or filamentary silver, and the method for carving by etching, electroplating, bore quarter, photoetching, electronics quarter or ion is attached on substrate.In artificial composite material, multiple man-made microstructure makes the refractive index of Meta Materials increase along with the increase of angle theta.When incident electromagnetic wave is determined, by the topological pattern of appropriate design man-made microstructure and the arrangement of man-made microstructure in electromagnetic wave converging element of different size, just can adjust the refraction index profile of artificial composite material, and then the electromagnetic wave spherical wave formal transformation realizing plane form is the electromagnetic wave dispersed.

In order to represent artificial composite material lamella refractive index refractive index regularity of distribution on xy face more intuitively, unit identical for refractive index is connected into a line, and the size of refractive index is represented with the density of line, the closeer refractive index of line is larger, then meet the refraction index profile of the Meta Materials of above all relational expressions as shown in Figure 7.

The present invention also provides a kind of manual composite material antenna, except comprising artificial composite material 10 as depicted in figs. 1 and 2, also comprise the radiation source being arranged on artificial composite material 10 side, the concrete structure of artificial composite material 10 and variations in refractive index as described above, repeat no more herein.

Previously described artificial composite material can be the shape shown in Fig. 2, and can certainly be made into is that other desired shape is such as circular etc., as long as can meet previously described variations in refractive index rule.

When practical application, in order to make the performance of artificial composite material better, reducing reflection, in artificial composite material both sides, all impedance matching layer can be set.Content about impedance matching layer see prior art data, can repeat no more herein.

The present invention is designed to curved in the saltus step of the refractive index of artificial composite material, thus greatly reduces the refraction of saltus step place, diffraction and reflection effect, alleviates the problem interfering with each other and bring, makes artificial composite material have more excellent performance.

By reference to the accompanying drawings embodiments of the invention are described above; but the present invention is not limited to above-mentioned embodiment; above-mentioned embodiment 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 (2)

1. an artificial composite material, is characterized in that, is relatively arranged on electromagnetic wave propagation direction, and plane electromagnetic wave incides the first surface of described artificial composite material and penetrates with the form of spherical wave at the second surface relative with described first surface; Injection electromagnetic wave oppositely extend intersect at described artificial composite material virtual focus on;

If on virtual focus and described artificial composite material second surface any line and perpendicular to artificial composite material straight line between angle be θ, a curved surface in the unique corresponding described artificial composite material of angle theta, the set with the point of identical angle theta forms the border of the unique corresponding curved surface of angle theta, and the refractive index of everywhere is all identical on the unique corresponding curved surface of angle theta, the bus of described curved surface is parabolic arc; The refractive index of described artificial composite material increases gradually along with the increase of angle theta;

The refraction index profile of described curved surface meets:

$n\left(\mathrm{\θ}\right)=\frac{1}{S\left(\mathrm{\θ}\right)}[\frac{(F+d)}{\cos \mathrm{\θ}}-(F+d)+n_{\min }d];$

Wherein S (θ) arc length that is described parabolic arc, F is the distance of described virtual focus to described artificial composite material, and d is the thickness of described artificial composite material; n _minfor the minimum refractive index of described artificial composite material;

The arc length S (θ) of described parabolic arc meets:

$S\left(\mathrm{\θ}\right)=\frac{d}{2}[\frac{\log \left(\right|\tan \mathrm{\θ}|+\sqrt{1+{\tan }^2\mathrm{\θ}})+\mathrm{\δ}}{\left|\tan \mathrm{\θ}\right|+\mathrm{\δ}}+\sqrt{1+{\tan }^2\mathrm{\θ}}];$

Wherein, δ is for presetting decimal;

With through the center of described artificial composite material second surface and perpendicular to the straight line of described artificial composite material for axis of abscissas, to be parallel to the straight line of described second surface for axis of ordinates through the center of described artificial composite material second surface, the parabolic equation at described parabolic arc place is:

$y\left(x\right)=\tan \mathrm{\θ}(-\frac{1}{2d}{x}^2+x+F+d);$

In angle theta and parabolic arc, every bit (x, y) meets following relational expression:

$\mathrm{\θ}(x,y)={\tan }^{-1}\left[\frac{2\mathrm{dy}}{2d(F+d+x)-x^2}\right].$

2. a manual composite material antenna, is characterized in that, comprises radiation source and is arranged on the artificial composite material on Electromagnetic Wave Propagation direction; Plane electromagnetic wave incides the first surface of described artificial composite material and penetrates with the form of spherical wave at the second surface relative with described first surface; Injection electromagnetic wave oppositely extend intersect at described artificial composite material virtual focus on;

If on virtual focus and described artificial composite material second surface any line and perpendicular to artificial composite material straight line between angle be θ, a curved surface in the unique corresponding described artificial composite material of angle theta, the set with the point of identical angle theta forms the border of the unique corresponding curved surface of angle theta, and the refractive index of everywhere is all identical on the unique corresponding curved surface of angle theta, the bus of described curved surface is parabolic arc; The refractive index of described artificial composite material increases gradually along with the increase of angle theta;

The refraction index profile of described curved surface meets:

$n\left(\mathrm{\θ}\right)=\frac{1}{S\left(\mathrm{\θ}\right)}[\frac{(F+d)}{\cos \mathrm{\θ}}-(F+d)+n_{\min }d];$

Wherein S (θ) arc length that is described parabolic arc, F is the distance of described virtual focus to described artificial composite material, and d is the thickness of described artificial composite material; n _minfor the minimum refractive index of described artificial composite material;

The arc length S (θ) of described parabolic arc meets:

$S\left(\mathrm{\θ}\right)=\frac{d}{2}[\frac{\log \left(\right|\tan \mathrm{\θ}|+\sqrt{1+{\tan }^2\mathrm{\θ}})+\mathrm{\δ}}{\left|\tan \mathrm{\θ}\right|+\mathrm{\δ}}+\sqrt{1+{\tan }^2\mathrm{\θ}}];$

Wherein, δ is for presetting decimal;

With through the center of described artificial composite material second surface and perpendicular to the straight line of described artificial composite material for axis of abscissas, to be parallel to the straight line of described second surface for axis of ordinates through the center of described artificial composite material second surface, the parabolic equation at described parabolic arc place is:

$y\left(x\right)=\tan \mathrm{\θ}(-\frac{1}{2d}{x}^2+x+F+d);$

In angle theta and parabolic arc, every bit (x, y) meets following relational expression:

$\mathrm{\θ}(x,y)={\tan }^{-1}\left[\frac{2\mathrm{dy}}{2d(F+d+x)-x^2}\right].$