CN212908084U - Spherical antenna housing with equal circumferential ratio conformal mapping - Google Patents
Spherical antenna housing with equal circumferential ratio conformal mapping Download PDFInfo
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- CN212908084U CN212908084U CN202022030676.9U CN202022030676U CN212908084U CN 212908084 U CN212908084 U CN 212908084U CN 202022030676 U CN202022030676 U CN 202022030676U CN 212908084 U CN212908084 U CN 212908084U
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Abstract
The utility model relates to the technical field of radome design, in particular to a spherical radome with equal circumferential ratio conformal mapping, wherein a plurality of periodic units are uniformly distributed on the spherical surface of the radome; each period unit is not covered; a first circumference passing through the center point P of any one of the periodic units is proportional to a second circumference passing through the mapping point Q of the center point P; the first circumference passes through the spherical center of the radome and the vertex P of the radome0The axis of (A) is a central axis; the second circumference is defined by a radome vertex P0Perpendicular mapping point Q of0As the center of a circle; a mapping point Q of the central point P and a radome vertex P0Perpendicular mapping point Q of0Are positioned on the same horizontal plane; a plane with the mapping point Q as the origin and a central point P as the originTangent plane T ofPHas a local mapping relationship. The utility model discloses realize establishing conformal absorber on the sphere to satisfy the electrical characteristic of antenna house.
Description
Technical Field
The utility model relates to an antenna house design technical field especially relates to spherical antenna house of conformal mapping of equal week ratio.
Background
The spherical membrane is fixed on the airtight platform around the cut opening by a pressing plate, is tightened by a rope or is fixed by other methods, and is internally inflated. Its advantages are thin and uniform cover wall, good electric performance and wide band; the cover body is soft and convenient to fold, light in weight, small in size and convenient to transport, store and install.
The spherical radome surface uses an absorbing material, and a conformal absorber needs to be established on the spherical surface. Most conformal absorbing materials are studied cylindrically conformal, since it is only curved in one direction. When a conformal absorber is built on a spherical surface, there is no suitable equidistant mapping to place the planar elements onto a curved surface.
Therefore, it is difficult for the spherical radome with a conformal absorbing material to meet the electrical characteristics of the radome.
SUMMERY OF THE UTILITY MODEL
In order to solve the technical problem, the utility model provides an equal week compares conformal mapping's spherical radome, it can realize establishing conformal absorber on the sphere to satisfy the electrical characteristic of radome.
The utility model provides an equal-circumference-ratio conformal mapping spherical radome, a plurality of periodic units are uniformly distributed on the spherical surface of the radome; each period unit is not covered;
a first circumference passing through the center point P of any one of the periodic units is proportional to a second circumference passing through the mapping point Q of the center point P; the first circumference passes through the spherical center of the radome and the vertex P of the radome0The axis of (A) is a central axis; the second circumference is defined by a radome vertex P0Perpendicular mapping point Q of0As the center of a circle;
a mapping point Q of the central point P and a radome vertex P0Perpendicular mapping point Q of0Are positioned on the same horizontal plane;
a plane with the mapping point Q as the origin and a tangent plane T with the center point P as the originPHas a local mapping relationship.
Further, the relation between the first circumference and the second circumference is:
kc2πrQ＝2πR0 sinθP (1)
in the formula (1), kcIs a proportionality coefficient of rQIs Q to Q0Distance of (A), R0Is the distance P from the spherical center of the sphere, i.e. the spherical radius of the radome, thetaPIs the included angle between the radius of the spherical surface where the point P is located and the z axis passing through the spherical center of the spherical surface.
Further, the mapping point Q and the vertical mapping point Q0The horizontal plane is a vertical mapping surface of the antenna housing;
each period unit is linearly mapped with a corresponding mapping unit on a vertical mapping surface.
Still further, the periodic unit is shaped as a double hexagonal ring.
Still further, the material of the periodic unit is a circuit simulation wave-absorbing material.
Still further, the outer ring of the periodic unit has a circumscribed circle with a radius d1；
The inner ring of the periodic unit has a circumscribed circle with a radius d2；d1＞d2；
The outer ring and the inner ring of the periodic unit are concentric, and the distance between the outer rings of the periodic units is g1(ii) a In each period unit, the distance between the inner ring and the outer ring is g2；g1＞0，g2＞0。
Still further, the applicable conditions of the plane equivalence in the local mapping are as follows:
p/2R0<sin(π/36) (2)
in formula (2), p is the period of the double hexagonal ring, R0Is the distance from P to the spherical center, i.e. the spherical radius of the radome.
In the above technical solution, the mapping unit and the corresponding period unit have a scaling relationship.
Further, the scaling factor of the mapping unit linearly mapped to the corresponding period unit is alphacThe expression is:
αc＝min(kc,1) (3)
in the formula (3), kcIs a scaling factor.
Preferably, the scaling factor kc≥1。
In the utility model, each period unit is a conformal absorber; the first circumference is proportional to the second circumference. The spherical radome is designed by adopting the mode of equal circumferential ratio. Not only make the utility model discloses satisfy the electrical characteristic of antenna house, can also make to map the unit linear mapping to corresponding cycle unit deformation little.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a schematic structural diagram of an embodiment of the present invention, wherein (a) is a top view and (b) is a side view;
fig. 2 is a spherical conformal mapping diagram of an antenna housing according to an embodiment of the present invention;
fig. 3 is a schematic structural view of a double hexagonal ring on the surface of an antenna cover in the embodiment of the present invention;
fig. 4 is the embodiment of the utility model provides an in different proportionality coefficients to antenna house wave-absorbing performance influence analysis chart.
Detailed Description
The technical solutions in the embodiments of the present invention will be described clearly and completely with reference to the accompanying drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments in the present invention, all other embodiments obtained by a person skilled in the art without creative work belong to the protection scope of the present invention.
As shown in fig. 1 and 2, in the spherical radome with equal circumferential ratio conformal mapping according to the present embodiment, a plurality of periodic units 1 are uniformly distributed on a spherical surface of the radome; each period unit 1 is not covered;
a first circumference passing through the center point P of any one of the periodic units 1 is proportional to a second circumference passing through the mapping point Q of the center point P; the first circumference passes through the spherical center of the radome and the vertex P of the radome0The axis of (A) is a central axis; the second circumference is defined by a radome vertex P0Perpendicular mapping point Q of0As the center of a circle;
a mapping point Q of the central point P and a radome vertex P0Perpendicular mapping point Q of0Are positioned on the same horizontal plane;
a plane with the mapping point Q as the origin and a tangent plane T with the center point P as the originPHas a local mapping relationship.
In the present embodiment, the conformal material is periodically distributed on the spherical surface of the radome, and forms each periodic unit of the spherical surface. If the spherical radome meets the electrical requirements, the relevant data of each period unit also needs to meet certain standards. And all the distributed periodic units on the antenna housing are obtained according to conformal mapping of the mapping units on the plane.
As shown in fig. 2, the mapping point Q and the vertical mapping point Q0The horizontal plane is a vertical mapping surface of the antenna housing;
each period unit 1 is linearly mapped with a corresponding mapping unit 2 on a vertical mapping plane.
The conformal mapping steps of the vertical mapping surface and the spherical surface of the antenna housing are as follows:
the vertical mapping surface is distributed with dot matrixes, each dot represents one mapping unit 2, and all the mapping units 2 are uncovered; the point in the lattice is the center of the corresponding mapping unit 2.
thereby, the radome vertex P is obtained0And a center point P of a certain periodic unit.
Step 4, taking the mapping unit where Q is located and the tangent plane T with P as the originPEstablishing local mapping;
As shown in fig. 1 and 3, the periodic unit 1 is shaped like a double hexagonal ring, and similarly, each of the mapping units 2 is shaped like a double hexagonal ring. The material of the periodic unit 1 is a circuit simulation wave-absorbing material.
The applicable conditions of the plane equivalence in the local mapping are as follows:
p/2R0<sin(π/36) (2)
in formula (2), p is the period of the double hexagonal ring, R0Is the distance from P to the spherical center, i.e. the spherical radius of the radome.
Since the spherical surface is an inextensible surface, the planar periodic units cannot be directly conformal on the spherical surface. To this end, the lattice distribution is separated from the cell structure, first of all the lattice of the vertical mapping surface is determined to a radius R0The mapping relation of the lattice on the spherical surface. Then, a plane with an arbitrary point Q in the dot matrix of the vertical mapping surface as an origin and a tangent plane T with a corresponding point P on the spherical dot matrix as an origin are setPAnd establishing a local mapping. Finally, through local mapping between two planes, mapping units (shown as grey hexagons in FIG. 2) at the Q point are linearly mapped to the P point by a certain scaling factor, so as to ensure that T is ensuredPThe conformal mapping of the units on the plane is conformal mapping, and the applicable condition of the plane equivalence in the local mapping is p/2R0<sin(π/36)。
As shown in fig. 3, on the spherical surface, the material of the periodic unit 1 is a circuit simulation wave-absorbing material. The outer and inner rings of each periodic unit 1 are concentric. The distance between the outer rings of each periodic unit 1 is g1(ii) a The distance between the inner ring and the outer ring in each period unit 1 is g2；g1＞0，g2Is greater than 0. The outer ring of the periodic unit 1 has a circumscribed circle with a radius d1；d1＞d2。
As shown in FIG. 2, the points determined by the lattice distribution function under planar conditions are represented as Q (r) in polar coordinatesQ,φQ) The corresponding point on the spherical conformal surface is P (R) in the spherical coordinate system0,θP,φP) Mapping two points to have the same azimuth angle phiQ＝φP. Setting a reference point Q0(0,0) with a corresponding point P mapped on the sphere0(R0,0,0). The total area of each periodic unit 1 on the plane is SQThe total area of each periodic unit on the spherical surface is SP。
Under the equal-perimeter-ratio conformal mapping condition, the spherical conformality of the double hexagonal ring array is shown in fig. 1. In the plane with Q0The circumference passing through Q as the center of the circle is in direct proportion to the circumference passing through P by taking the z axis as the central axis, and the proportionality coefficient is kcThe mapping method is an expansion of hemispherical mapping based on stereoscopic projection, and although the lattice distribution on the plane is uniform, the lattice distribution generated by hemispherical mapping is gradually distant from top to bottom. The distribution interval of the units on the spherical surface is larger, and when k iscWhen the cell size is larger than or equal to 1, the cell does not need to be reduced to avoid overlapping, the scaling coefficient of the cell is irrelevant to the position, so that the shapes of all the cells are the same, and the scaling coefficient alpha of the cell is introducedc。
The above-mentioned with Q0The relation between the circumference passing through Q as the center of circle and the circumference passing through P with the z-axis as the central axis is as follows:
kc2πrQ＝2πR0sinθP (1)
in the formula (1), kcIs a proportionality coefficient of rQIs Q to Q0Distance of (A), R0Is the distance P from the spherical center of the sphere, i.e. the spherical radius of the radome, thetaPIs the included angle between the radius of the spherical surface where the point P is located and the z axis.
The scaling factor is alphacThe expression of (a) is:
αc＝min(kc,1) (3)
in the formula (3), kcIs a scaling factor.
After experiments, the k is found to becWhen the wave absorbing capacity is more than or equal to 1, the structural sizes of all units are the same, and the wave absorbing capacity ratio kcIs better when the dosage is less than 1.
The following simulation is performed on the method described in this embodiment to illustrate the beneficial effects of the method described in this embodiment:
and simulating the spherical conformal double hexagonal ring structure type wave-absorbing metamaterial by adopting the spectral domain transformation method. As shown in FIG. 4, the structural parameter of the double hexagonal ring unit is p is 25.98m, epsilonr＝2.2，t1＝0.5mm，t2＝12.7mm，d1＝13.5mm，s1＝0.5mm，d2＝7mm，s2＝0.5mm，ROUT＝180Ω，RIN＝100Ω。
Figure 3 shows the geometric distribution of the planar double hexagonal ring units. Geometrically different sequence numbers indicate the number of cycles, which is in contrast to the case of both rings. The unit array can be easily printed on a plane or a cylinder. However, since the spherical surface is not developable, it cannot be projected directly on the spherical surface. And printing a double hexagonal ring unit pattern with the period of p on the dielectric substrate. Relative dielectric constant εrIs placed on a spherical metal surface separated by an air layer. Resistors are inserted into each side of the hexagonal ring. The resistance values of the outer ring and the inner ring are respectively ROUTAnd RIN。t1And t2Representing the air layer thickness.
The curvature radius of the spherical metal carrier of the radome is RM140mm, then has a radius of curvature R0＝RM+t2152.7mm, the size is equivalent to the wavelength of 2GHz frequency, the curvature change has obvious influence on the wave-absorbing performance on the 2-8GHz frequency band, and the wave-absorbing material belongs to large curvatureAnd (3) spherical conformal design under the condition. The conformal wave-absorbing metamaterial for the spherical surface of the radome consists of 126 units, in order to reflect the influence of the spherical surface conformal to the wave-absorbing performance in a centralized manner and reduce the influence of the edge effect on the simulation result, a metal spherical carrier is cut, and an area without unit coverage is removed.
Simulation analysis of different krUnder the conditions, the effect of spherical conformality on the absorption performance is shown in fig. 4. Under the mapping condition, the deformation of the unit is minimum when the spherical surfaces are conformal, and when k is equal to kcWhen the wave absorbing capacity is more than or equal to 1, the structural sizes of all units are the same, and the wave absorbing capacity ratio kcIs better when the dosage is less than 1.
In summary, the method according to the embodiment can realize the design of the spherical radome, each period unit on the plane can be mapped on the surface spherical surface of the radome, and each mapped period unit can be deformed little.
It should be understood that the specific order or hierarchy of steps in the processes disclosed is an example of exemplary approaches. Based upon design preferences, it is understood that the specific order or hierarchy of steps in the processes may be rearranged without departing from the scope of the present disclosure. The accompanying method claims present elements of the various steps in a sample order, and are not intended to be limited to the specific order or hierarchy presented.
In the foregoing detailed description, various features are grouped together in a single embodiment for the purpose of streamlining the disclosure. This method of disclosure is not to be interpreted as reflecting an intention that the claimed embodiments of the subject matter require more features than are expressly recited in each claim. Rather, as the following claims reflect, the invention lies in less than all features of a single disclosed embodiment. Thus, the following claims are hereby expressly incorporated into the detailed description, with each claim standing on its own as a separate preferred embodiment of the invention.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. To those skilled in the art; various modifications to these embodiments will be readily apparent, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the disclosure. Thus, the present disclosure is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
What has been described above includes examples of one or more embodiments. It is, of course, not possible to describe every conceivable combination of components or methodologies for purposes of describing the aforementioned embodiments, but one of ordinary skill in the art may recognize that many further combinations and permutations of various embodiments are possible. Accordingly, the embodiments described herein are intended to embrace all such alterations, modifications and variations that fall within the scope of the appended claims. Furthermore, to the extent that the term "includes" is used in either the detailed description or the claims, such term is intended to be inclusive in a manner similar to the term "comprising" as "comprising" is interpreted when employed as a transitional word in a claim. Furthermore, any use of the term "or" in the specification of the claims is intended to mean a "non-exclusive or".
The above-mentioned embodiments, further detailed description of the objects, technical solutions and advantages of the present invention, it should be understood that the above description is only the embodiments of the present invention, and is not intended to limit the scope of the present invention, and any modifications, equivalent substitutions, improvements, etc. made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (10)
1. A spherical radome with equal circumferential ratio conformal mapping is characterized in that a plurality of periodic units (1) are uniformly distributed on the spherical surface of the radome; each period unit (1) is not covered;
a first circumference passing through the center point P of any one of the periodic units (1) is proportional to a second circumference passing through the mapping point Q of the center point P; the first circumference passes through the spherical center of the radome and the vertex P of the radome0The axis of (A) is a central axis(ii) a The second circumference is defined by a radome vertex P0Perpendicular mapping point Q of0As the center of a circle;
a mapping point Q of the central point P and a radome vertex P0Perpendicular mapping point Q of0Are positioned on the same horizontal plane;
a plane with the mapping point Q as the origin and a tangent plane T with the center point P as the originPHas a local mapping relationship.
2. The spherical radome of claim 1 wherein the relationship between the first circumference and the second circumference is:
kc2πrQ＝2πR0sinθP (1)
in the formula (1), kcIs a proportionality coefficient of rQIs Q to Q0Distance of (A), R0Is the distance P from the spherical center of the sphere, i.e. the spherical radius of the radome, thetaPIs the included angle between the radius of the spherical surface where the point P is located and the z axis passing through the spherical center of the spherical surface.
3. The spherical radome of claim 1 wherein the mapped point Q and the vertically mapped point Q are equal-circumferential-ratio conformal mapping0The horizontal plane is a vertical mapping surface of the antenna housing;
each period unit (1) is linearly mapped with a corresponding mapping unit (2) on a vertical mapping surface.
4. The spherical radome of claim 1, wherein the periodic elements are in the shape of double hexagonal rings.
5. The spherical radome of claim 4, wherein the periodic elements are periodic elements of a circuit analog wave absorbing material.
6. The spherical radome of claim 4, wherein the spherical radome has an equal circumferential ratio conformal mappingWherein the outer ring of the periodic unit has a circumscribed circle with a radius d1；
The inner ring of the periodic unit has a circumscribed circle with a radius d2；d1＞d2；
The outer ring and the inner ring of the periodic unit are concentric, and the distance between the outer rings of the periodic units is g1(ii) a In each period unit, the distance between the inner ring and the outer ring is g2；g1＞0，g2＞0。
7. The spherical radome of claim 4 wherein the applicable conditions for the mid-plane equivalence of the local mapping are:
p/2R0<sin(π/36) (2)
in formula (2), p is the period of the double hexagonal ring, R0Is the distance from P to the spherical center, i.e. the spherical radius of the radome.
8. Spherical radome of equal circumferential ratio conformal mapping according to claim 3, wherein the mapping elements (2) have a scaling relationship with corresponding periodic elements (1).
9. Spherical radome of an equal circumferential ratio conformal mapping according to claim 8, wherein the mapping elements (2) are linearly mapped to corresponding periodic elements (1) with a scaling factor αcThe expression is:
αc＝min(kc,1) (3)
in the formula (3), kcIs a scaling factor.
10. The spherical radome of claim 2 wherein the scaling factor k is equal-circumferential-ratio conformal mappingc≥1。
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