CN112072295A - Miniaturized multi-beam vortex beam generating device - Google Patents
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/36—Structural form of radiating elements, e.g. cone, spiral, umbrella; Particular materials used therewith
- H01Q1/38—Structural form of radiating elements, e.g. cone, spiral, umbrella; Particular materials used therewith formed by a conductive layer on an insulating support
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/50—Structural association of antennas with earthing switches, lead-in devices or lightning protectors
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/52—Means for reducing coupling between antennas; Means for reducing coupling between an antenna and another structure
- H01Q1/521—Means for reducing coupling between antennas; Means for reducing coupling between an antenna and another structure reducing the coupling between adjacent antennas
- H01Q1/523—Means for reducing coupling between antennas; Means for reducing coupling between an antenna and another structure reducing the coupling between adjacent antennas between antennas of an array
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q21/00—Antenna arrays or systems
- H01Q21/0006—Particular feeding systems
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q21/00—Antenna arrays or systems
- H01Q21/06—Arrays of individually energised antenna units similarly polarised and spaced apart
- H01Q21/061—Two dimensional planar arrays
- H01Q21/065—Patch antenna array
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- H—ELECTRICITY
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- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q21/00—Antenna arrays or systems
- H01Q21/29—Combinations of different interacting antenna units for giving a desired directional characteristic
- H01Q21/293—Combinations of different interacting antenna units for giving a desired directional characteristic one unit or more being an array of identical aerial elements
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Abstract
The invention discloses a miniaturized multi-beam vortex beam generating device, which comprises: the antenna comprises a floor, a dielectric substrate and K microstrip antenna units, wherein each microstrip antenna unit comprises an elliptical annular microstrip antenna patch and M feed ports, and each feed port consists of a coaxial feeder and an input port; k elliptical annular microstrip antenna patches are printed on the dielectric substrate, and the centers of the positions of the patches are positioned on an outer ellipse; m input ports in each microstrip antenna unit are respectively etched on the floor, and M coaxial feed lines in each microstrip antenna unit are vertically embedded in the dielectric substrate. The invention utilizes a small amount of miniaturized antenna units to carry out array design, thereby realizing multi-beam vortex waves; the problems of numerous defects of the existing array antenna array elements and limited regulation and control capability of a single antenna beam are solved, so that the vortex beam generating device has the characteristics of miniaturization and wide beam coverage range.
Description
Technical Field
The invention relates to the technical field of antennas, in particular to a miniaturized multi-beam vortex beam generating device which can be used for a communication and radar system.
Background
Radio technology brings a profound revolution in the aspect of human life because of the realization of fast transmission of information, and related products thereof have become an indispensable part of people's daily life. Meanwhile, the continuously increased communication services make nonrenewable spectrum resources increasingly scarce, and the communication rate tends to the limit of the shannon theorem, thereby providing a challenge for further communication performance improvement. For this reason, radio-related technologies are urgently required to make breakthrough progress to solve the above-mentioned problems, and electromagnetic waves, which are information carriers, are also widely studied. Research in recent years shows that vortex electromagnetic waves (vortex waves for short) which are significantly different from traditional plane waves and spherical waves show the possibility of solving the problem of frequency spectrum shortage, and Orbital Angular Momentum (OAM) carried by the vortex electromagnetic waves has brand new freedom and theoretically has infinite orthogonal modes which do not interfere with each other at any frequency. Therefore, the characteristics of the vortex wave represent the possibility of improving the spectrum utilization rate, and represent considerable application prospects in the fields of wireless communication, radar imaging and the like, and the vortex wave gradually becomes a research hotspot.
The generation device of vortex wave is the basis of further research and application, and the prior vortex wave generation device mainly comprises a uniform circular array, a reflection or transmission array antenna and the like. The uniform circular array comprises a large number of array elements, and the number of the array elements is increased along with the increase of vortex wave modes, so that the increase of the array scale and the increase of the complexity are caused; reflective or transmissive arrays impose stringent requirements on the relative position of the feed and the wavefront, and the feed may further contribute to the generation of a vortex beam. The vortex wave generating devices in the two array forms are often large in size and not beneficial to practical application.
The existing vortex wave generating device with a single antenna has the characteristics of small volume and certain miniaturization, but only can generate simple vortex wave beams because the single antenna is simple in form and has few parts capable of being regulated and controlled. And because the antenna aperture of a single antenna is smaller, the dispersion characteristic of the vortex wave is more obvious, the transmission effect is further reduced, and the performance is more seriously reduced when the high-order mode vortex wave is generated by using the vortex wave. Therefore, the vortex wave generating device with the single antenna is difficult to realize effective regulation and control of vortex beams, and the limitation of the vortex wave generating device in practical application is reflected.
Disclosure of Invention
Aiming at the problems in the prior art, the invention aims to provide a miniaturized multi-beam vortex wave generating device, which utilizes a small number of miniaturized antenna units to carry out array design, thereby realizing multi-beam vortex waves; the problems of numerous defects of the existing array antenna array elements and limited regulation and control capability of a single antenna beam are solved, so that the vortex beam generating device has the characteristics of miniaturization and wide beam coverage range.
In order to achieve the purpose, the invention is realized by adopting the following technical scheme.
A miniaturized multi-beam vortex beam generating device comprising: the antenna comprises a floor, a dielectric substrate and K microstrip antenna units, wherein each microstrip antenna unit comprises an elliptical annular microstrip antenna patch and M feed ports, and each feed port consists of a coaxial feeder and an input port;
the lower surface of the dielectric substrate is attached to the surface of a floor, the upper surface of the dielectric substrate is printed with K elliptical ring-shaped microstrip antenna patches, and the position centers of the K elliptical ring-shaped microstrip antenna patches are positioned on an outer ellipse with a semi-major axis Ra;
m input ports in each microstrip antenna unit are respectively etched on the floor, and M coaxial feed lines in each microstrip antenna unit are vertically embedded into the dielectric substrate; the top end of each coaxial feeder line is connected with the corresponding elliptical annular microstrip antenna patch, and the tail end of each coaxial feeder line is connected with the corresponding input port; each input port is used for providing excitation for a coaxial feeder line connected with the input port, and transmitting energy to a corresponding elliptical annular microstrip antenna patch through the coaxial feeder line so as to generate I vortex beams in different directions;
wherein, the working mode of each microstrip antenna unit is TMn1The maximum value of the absolute value of the I vortex beam mode values is L, K, M, I, L is respectively a positive integer, K is less than or equal to 2L, M is less than or equal to 1 and less than or equal to n/2, n is greater than or equal to 2, and I is greater than or equal to 2.
Further, the outer ring major axis length Lao and the inner ring major axis length Lai of each elliptical ring-shaped microstrip antenna patch should satisfy the following relation:
wherein, X(n-1)1Is the 1 st solution, X, of the Bessel function of order n-1(n+1)1Is the 1 st solution of the bessel function of order n +1, C is the speed of light, f is the operating frequency of the antenna,ris the relative dielectric constant of the dielectric substrate.
Further, defining the ratio of the minor axis length to the major axis length of each elliptical ring-shaped microstrip antenna patch as an axis ratio, the relationship between the axis ratio and the beam pitch angle θ of the generated vortex wave is as follows:
ratio=cos(θ)。
further, a rectangular coordinate system corresponding to the k-th elliptic annular microstrip antenna patch is established by taking the position center of the patch as an origin, taking the horizontal right direction of the patch as the positive direction of an X axis, and taking the vertical upward direction as the positive direction of a Y axis; defining the radial dimension of the mth feed port of the kth elliptic annular microstrip antenna patch in a rectangular coordinate system corresponding to the patch as LfkmThen LfkmThe following relationship should be satisfied: lai/2 < Lfkm<Lao×ratio/2;
Defining the position of the mth feed port of the kth elliptic annular microstrip antenna patch in the patch pairThe azimuth angle in the corresponding rectangular coordinate system isThenThe value range is as follows:
wherein, the amplitude of the excitation required by each feed port is the same; k is a positive integer and represents the serial number of the elliptic annular microstrip antenna patch, and K is more than or equal to 1 and less than or equal to K.
Further, let the coordinates of the position center of the kth elliptical ring-shaped microstrip antenna patch be (Xk, Yk), then it is determined by the following formula:
wherein Rratio is the axial ratio of the outer ellipse, the value of which is the same as the axial ratio of the ellipse corresponding to the elliptical annular microstrip antenna patch,is the azimuth angle of the position center of the kth elliptic annular microstrip antenna patch in a plane coordinate system.
Further, the phase of the excitation signal required by the kth elliptical ring-shaped microstrip antenna patch is as follows:
wherein Xk is the abscissa of the center of the position of the kth elliptical annular microstrip antenna patch, and Rratio is the axial ratio of the outer ellipse, and the value of Rratio is equal to the elliptical ratio of the elliptical annular microstrip antenna patchThe axial ratio of the circles is the same, lambda is the wavelength of the central working frequency of the patch of the elliptical annular microstrip antenna, liFor the modal value of the ith vortex beam of the design, andil-1 is less than or equal to I, I is the number of the designed vortex beam, and I is less than or equal to 1 and less than or equal to I; phiiThe calculation formula of the intermediate variable of the coordinate transformation corresponding to the ith vortex beam is as follows:
Φi=arg{[(-Xk×sin(φi)×cos(θ))+(Yk×cos(φi)×cos(θ))]+j[Xk×cos(φi)+Yk×sin(θ)]}
wherein Yk is the ordinate of the position center of the kth elliptic annular microstrip antenna patch, phiiThe azimuth angle of the designed ith vortex beam in the spherical coordinate system is designated, and theta is the pitch angle of the designed vortex beam in the spherical coordinate system.
Compared with the prior art, the invention has the beneficial effects that:
(1) the invention designs the antenna array elements based on the elliptical annular microstrip antenna patch, and forms an array with less array elements through the miniaturized antenna units, thereby realizing the miniaturization of the whole device and further reducing the mutual coupling problem among the array units.
(2) The number of the antenna units in the antenna array is reduced through the structural design, so that the complexity of a corresponding feed network is reduced, the design difficulty is reduced, and the feed loss is reduced.
(3) The invention adopts the miniaturized multifunctional antenna as the array unit and utilizes the miniaturized multifunctional antenna to form the elliptic array, thereby realizing the multi-beam, direction-adjustable and high-order modal vortex beam which can not be realized by the same array element in the past and expanding the coverage range of the vortex wave.
Drawings
The invention is described in further detail below with reference to the figures and specific embodiments.
FIG. 1 is a schematic view of the overall structure of the present invention;
FIG. 2 is a top view of FIG. 1;
FIG. 3 is a side view of FIG. 1;
FIG. 4 is a vortex beam three-dimensional pattern of simulation experiment 1 of the present invention;
FIG. 5 is a vortex beam phase profile of simulation experiment 1 of the present invention;
FIG. 6 is a vortex beam three-dimensional pattern of simulation experiment 2 of the present invention;
FIG. 7 is a vortex beam phase profile of simulation experiment 2 of the present invention.
In the above figures, 1 dielectric substrate; 2, floor board; 3, an elliptical ring-shaped microstrip antenna patch; 4 feed ports; 41 a coaxial feed line; 42 input ports.
Detailed Description
Embodiments of the present invention will be described in detail below with reference to examples, but it will be understood by those skilled in the art that the following examples are only illustrative of the present invention and should not be construed as limiting the scope of the present invention.
Referring to fig. 1 to 3, the present invention provides a miniaturized multi-beam vortex beam generating device, comprising: the antenna comprises a floor 2, a dielectric substrate 1 and K microstrip antenna units, wherein each microstrip antenna unit comprises an elliptical annular microstrip antenna patch 3 and M feed ports 4, and each feed port 4 consists of a coaxial feed line 41 and an input port 42;
the lower surface of the dielectric substrate 1 is attached to the surface of a floor 2, K elliptical annular microstrip antenna patches 3 are printed on the upper surface of the dielectric substrate 1, and the position centers of the K elliptical annular microstrip antenna patches 3 are positioned on an outer ellipse with a semi-major axis Ra;
wherein, the working mode of each microstrip antenna unit is TMn1I number of vortex beam mode valuesThe maximum value of the absolute value of (A) is L, K, M, I, L is respectively a positive integer, K is less than or equal to 2L, M is less than or equal to 1 and less than or equal to n/2, n is greater than or equal to 2, and I is greater than or equal to 2.
In this embodiment, the length of the outer ring major axis of the elliptical ring-shaped microstrip antenna patch 3 is Lao, and the length of the outer ring major axis is Lai, both of which are determined by the characteristics of the generated multi-beam vortices; the number of the feed ports 4 corresponding to each elliptical annular microstrip antenna patch 3 is M, and the radial dimension of the position of the mth feed port 4 in the corresponding plane coordinate system is LfkmIn an azimuth ofThe corresponding plane coordinate system is a rectangular coordinate system established by taking the position center of the elliptic annular microstrip antenna patch corresponding to the feed port as an original point; lai/2 < Lfkm<Lao×ratio/2,Each feed port 4 comprises a coaxial feed line 41 and an input port 42; the relative dielectric constant of the medium corresponding to the dielectric substrate 1 isr,2≤rLess than or equal to 5; the dielectric substrate 1 is a cube, the height of the dielectric substrate is H, the cross section of the dielectric substrate is the same as that of the floor 2, the side lengths are Ls, H is more than or equal to 0.5mm and less than or equal to 3mm, and Ls is more than Lao +2 Ra.
The coaxial feeder 41 is in an elliptic cylinder shape, the height of the coaxial feeder is the same as that of the dielectric substrate 1, and the diameter of the coaxial feeder is Ri; the diameter of the input port 42 is Ro, Ri is more than or equal to 0.5mm and less than or equal to 3mm, and Ri is more than Ri and less than or equal to 5 mm.
Each input port 42 provides equal-amplitude excitation for the respective connected coaxial feeder, and transmits energy to the elliptical ring-shaped microstrip antenna patch 3 through the coaxial feeder, so that electromagnetic energy is emitted from the elliptical ring-shaped microstrip antenna patch 3 to form a vortex beam.
Further, the outer ring major axis length Lao and the inner ring major axis length Lai of each elliptical ring-shaped microstrip antenna patch 3 in the present invention should satisfy the following relation:
wherein, X(n-1)1Is the 1 st solution, X, of the Bessel function of order n-1(n+1)1Is the 1 st solution of the bessel function of order n +1, C is the speed of light, f is the operating frequency of the antenna,ris the relative dielectric constant of the dielectric substrate 1.
Further, defining the ratio of the minor axis length to the major axis length of each elliptical ring-shaped microstrip antenna patch 3 as an axis ratio, the relationship between the axis ratio and the beam pitch angle θ of the generated vortex wave is:
ratio=cos(θ)。
further, a rectangular coordinate system corresponding to the kth elliptical ring-shaped microstrip antenna patch 3 is established by taking the position center of the patch as an origin, taking the horizontal rightward direction of the patch as the positive direction of an X axis, and taking the vertical upward direction as the positive direction of a Y axis; defining the radial dimension of the position of the mth feed port 4 of the kth elliptic annular microstrip antenna patch 3 in a rectangular coordinate system corresponding to the patch as LfkmThen LfkmThe following relationship should be satisfied: lai/2 < Lfkm<Lao×ratio/2;
Defining the azimuth angle of the position of the mth feed port 4 of the kth elliptical circular microstrip antenna patch 3 in the rectangular coordinate system corresponding to the patch asThenThe value range is as follows:
wherein, the amplitude of the excitation required by each feed port 4 is the same; k is a positive integer and represents the number of the elliptical annular microstrip antenna patch 3, and K is more than or equal to 1 and less than or equal to K.
Further, let the coordinates of the position center of the kth elliptical ring-shaped microstrip antenna patch 3 be (Xk, Yk), it is determined by the following formula:
wherein Rratio is the axial ratio of the outer ellipse, the value of which is the same as the axial ratio of the ellipse corresponding to the elliptical ring-shaped microstrip antenna patch 3,is the azimuth angle of the position center of the kth elliptical ring shaped microstrip antenna patch 3 in the plane coordinate system.
Further, the phase of the excitation signal required by the kth elliptical ring microstrip antenna patch 3 is:
wherein Xk is the abscissa of the center of the position of the kth elliptical circular microstrip antenna patch 3, Rratio is the axial ratio of the outer ellipse, the value of which is the same as the axial ratio of the ellipse corresponding to the elliptical circular microstrip antenna patch 3, λ is the wavelength of the central operating frequency of the elliptical circular microstrip antenna patch 3, and l is the wavelength of the central operating frequency of the elliptical circular microstrip antenna patch 3iFor the modal value of the ith vortex beam of the design, andil-1 is less than or equal to I, I is the number of the designed vortex beam, and I is less than or equal to 1 and less than or equal to I; phiiThe calculation formula of the intermediate variable of the coordinate transformation corresponding to the ith vortex beam is as follows:
Φi=arg{[(-Xk×sin(φi)×cos(θ))+(Yk×cos(φi)×cos(θ))]+j[Xk×cos(φi)+Yk×sin(θ)]}
wherein Xk and Yk are the abscissa and ordinate of the position center of the kth elliptical ring-shaped microstrip antenna patch 3, phiiThe azimuth angle of the designed ith vortex beam in the spherical coordinate system is designated, and theta is the pitch angle of the designed vortex beam in the spherical coordinate system.
Simulation experiment
The effect of the present invention can be further illustrated by the following simulation examples.
Simulation experiment 1:
the example designs a center operating frequency f of 5.8GHz with the first vortex beam deflection azimuth phi1The yaw pitch angle theta is equal to 0 DEG and the yaw pitch angle theta is equal to 30 DEG, and the modal values are as follows: +2 (corresponding to l)1+ 1); second vortex beam deflection azimuth angle phi2180 °, yaw pitch angle θ is 30 °, modal values: +2 (corresponding to l)2+ 1); vortex wave beam corresponding TM generated by elliptical annular microstrip antenna patch31In the mode, the axial ratio of the corresponding elliptical ring-shaped microstrip antenna patch is 0.87.
The structural parameters are as follows:
the length Lao of the long axis of the outer ring of the elliptical ring-shaped microstrip antenna patch is 41.6 mm; the length Lai of the long axis of the inner ring is 30 mm; relative dielectric constant of dielectric substrater2.65; the side length Ls of the cross section is 135 mm; height H2 mm; the diameter Ri of the coaxial feeder line is 1 mm; the diameter Ro of the input port is 3.4 mm; each elliptic annular microstrip antenna patch corresponds to the same number and distribution of feed ports, the number M is 2, and the radial size is Lfkm17mm in azimuth The 1 st and 2 nd feed ports excite with the same amplitude and phase difference of +90 deg..
The array is composed of four elliptical annular microstrip antenna units, and the radius Ra of the long axis of the formed ellipse is 39 mm; the corresponding axial ratio Rratio is 0.87; the corresponding azimuth angles of the array elements are 45 degrees, 135 degrees, 225 degrees and 315 degrees in sequence. Therefore, the phases of the excitation signals required by the array elements can be calculated to be: 86 degrees, -176 degrees, -86 degrees, -176 degrees.
According to the structural parameters, the device of the invention is simulated by using high-frequency electromagnetic simulation software HFSS, and a vortex beam three-dimensional directional diagram shown in figure 4 and a vortex beam phase distribution diagram shown in figure 5 are obtained.
It can be seen from the three-dimensional pattern shown in fig. 4 that this example generates two vortex beams, and the two propagation directions of the beams are: the azimuth angle is 0 degree and the pitch angle is 30 degrees; the azimuth angle is 180 degrees and the pitch angle is 30 degrees, and the phase distribution diagram shown in figure 5 shows that the two vortex beams are both in a +2 mode, so that the design requirement is met.
Simulation experiment 2:
the example designs a center operating frequency f of 5.8GHz with the first vortex beam deflection azimuth phi1The yaw pitch angle theta is equal to 0 DEG and the yaw pitch angle theta is equal to 30 DEG, and the modal values are as follows: -2 (corresponds to |)1-1); second vortex beam deflection azimuth angle phi2180 °, yaw pitch angle θ is 30 °, modal values: -2 (corresponds to |)2-1); vortex wave beam corresponding TM generated by elliptical annular microstrip antenna patch31In the mode, the axial ratio of the corresponding elliptical ring-shaped microstrip antenna patch is 0.87.
The structural parameters are as follows:
the outer ring long axis length Lao of the elliptical ring-shaped microstrip antenna patch is 41.6 mm; the length Lai of the long axis of the inner ring is 30 mm; relative dielectric constant of dielectric substrater2.65; the side length Ls of the cross section is 137 mm; height H2 mm; the diameter Ri of the coaxial feeder line is 1 mm; the diameter Ro of the input port is 3.4 mm; each elliptic annular microstrip antenna patch corresponds to the same number and distribution of feed ports, the number M is 2, and the radial size is Lfkm17mm in azimuthThe amplitude of the excitation of the 1 st and 2 nd feed ports is the same, with a phase difference of-90 °.
The array is composed of four elliptical annular microstrip antenna units, and the radius Ra of the long axis of the formed ellipse is 39 mm; the corresponding axial ratio Rratio is 0.87; the corresponding azimuth angles of the array elements are 45 degrees, 135 degrees, 225 degrees and 315 degrees in sequence. Therefore, the phases of the excitation signals required by the array elements can be calculated to be: 4.2 degrees, -94 degrees, 4.2 degrees, -94 degrees.
According to the structural parameters, the device of the invention is simulated by using high-frequency electromagnetic simulation software HFSS, and a vortex beam three-dimensional directional diagram shown in figure 6 and a vortex beam phase distribution diagram shown in figure 7 are obtained.
It can be seen from the three-dimensional pattern shown in fig. 6 that this example generates two vortex beams, and the two propagation directions of the beams are: the azimuth angle is 0 degree and the pitch angle is 30 degrees; the azimuth angle is 180 degrees and the pitch angle is 30 degrees, and the phase distribution diagram shown in figure 7 shows that the two vortex beams are both in a-2 mode, so that the design requirement is met.
Although the present invention has been described in detail in this specification with reference to specific embodiments and illustrative embodiments, it will be apparent to those skilled in the art that modifications and improvements can be made thereto based on the present invention. Accordingly, such modifications and improvements are intended to be within the scope of the invention as claimed.
Claims (6)
1. A miniaturized multi-beam vortex beam generating device, comprising: the antenna comprises a floor, a dielectric substrate and K microstrip antenna units, wherein each microstrip antenna unit comprises an elliptical annular microstrip antenna patch and M feed ports, and each feed port consists of a coaxial feeder and an input port;
the lower surface of the dielectric substrate is attached to the surface of a floor, the upper surface of the dielectric substrate is printed with K elliptical ring-shaped microstrip antenna patches, and the position centers of the K elliptical ring-shaped microstrip antenna patches are positioned on an outer ellipse with a semi-major axis Ra;
m input ports in each microstrip antenna unit are respectively etched on the floor, and M coaxial feed lines in each microstrip antenna unit are vertically embedded into the dielectric substrate; the top end of each coaxial feeder line is connected with the corresponding elliptical annular microstrip antenna patch, and the tail end of each coaxial feeder line is connected with the corresponding input port; each input port is used for providing excitation for a coaxial feeder line connected with the input port, and transmitting energy to a corresponding elliptical annular microstrip antenna patch through the coaxial feeder line so as to generate I vortex beams in different directions;
wherein, the working mode of each microstrip antenna unit is TMn1The maximum value of the absolute value of the mode values of the I vortex beams is L, K, M, I, L pointsAre positive integers, K is less than or equal to 2L, M is less than or equal to 1 and less than or equal to n/2, n is greater than or equal to 2, and I is greater than or equal to 2.
2. The miniaturized multi-beam vortex beam generating device of claim 1 wherein the outer annular major axis length Lao and the inner annular major axis length Lai of each elliptical circular microstrip antenna patch satisfy the following relationship:
wherein, X(n-1)1Is the 1 st solution, X, of the Bessel function of order n-1(n+1)1Is the 1 st solution of the bessel function of order n +1, C is the speed of light, f is the operating frequency of the antenna,ris the relative dielectric constant of the dielectric substrate.
3. The miniaturized multi-beam vortex beam generating device of claim 1, wherein the ratio of the length of the minor axis to the length of the major axis of each elliptical circular microstrip antenna patch is defined as an axial ratio, and the axial ratio is related to the beam pitch angle θ of the generated vortex wave as follows:
ratio=cos(θ)。
4. the miniaturized multi-beam vortex beam generating device of claim 1, wherein a rectangular coordinate system corresponding to a kth elliptical ring microstrip antenna patch is established with the position center of the patch as an origin, the horizontal rightward direction of the patch is the positive X-axis direction, and the vertical upward direction of the patch is the positive Y-axis direction; defining the radial dimension of the mth feed port of the kth elliptic annular microstrip antenna patch in a rectangular coordinate system corresponding to the patch as LfkmThen LfkmThe following relationship should be satisfied: lai/2 < Lfkm<Lao×ratio/2;
Defining the azimuth angle of the position of the mth feed port of the kth elliptical ring-shaped microstrip antenna patch in a rectangular coordinate system corresponding to the patch asThenThe value range is as follows:
wherein, the amplitude of the excitation required by each feed port is the same; k is a positive integer and represents the serial number of the elliptic annular microstrip antenna patch, and K is more than or equal to 1 and less than or equal to K.
5. The miniaturized multi-beam vortex beam generating device of claim 1 wherein the coordinates of the center of the location of the kth elliptical circular microstrip antenna patch are given as (Xk, Yk) and are determined by the following equation:
wherein Rratio is the axial ratio of the outer ellipse, the value of which is the same as the axial ratio of the ellipse corresponding to the elliptical annular microstrip antenna patch,is the azimuth angle of the position center of the kth elliptic annular microstrip antenna patch in a plane coordinate system.
6. The miniaturized multi-beam vortex beam generating device of claim 5 wherein the phase of the excitation signal required for the kth elliptical ring microstrip antenna patch is:
wherein Xk is the abscissa of the position center of the kth elliptical annular microstrip antenna patch, Rratio is the axial ratio of the outer ellipse, the value of the axial ratio is the same as the axial ratio of the ellipse corresponding to the elliptical annular microstrip antenna patch, lambda is the wavelength of the central working frequency of the elliptical annular microstrip antenna patch, theta is the pitch angle of the designed vortex beam in the spherical coordinate system, and liFor the modal value of the ith vortex beam of the design, andil-1 is less than or equal to I, I is the number of the designed vortex beam, and I is less than or equal to 1 and less than or equal to I; phiiThe calculation formula of the intermediate variable of the coordinate transformation corresponding to the ith vortex beam is as follows:
Φi=arg{[(-Xk×sin(φi)×cos(θ))+(Yk×cos(φi)×cos(θ))]+j[Xk×cos(φi)+Yk×sin(θ)]}
wherein Yk is the ordinate of the position center of the kth elliptic annular microstrip antenna patch, phiiThe azimuth angle of the direction pointed by the designed ith vortex beam in the spherical coordinate system.
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CN114899621A (en) * | 2022-05-31 | 2022-08-12 | 中国人民解放军空军工程大学 | Decoupling circularly polarized four-vortex beam antenna and design method |
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