CN106299719B - Generate the method and parabola antenna of vortex electromagnetic wave - Google Patents
Generate the method and parabola antenna of vortex electromagnetic wave Download PDFInfo
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- CN106299719B CN106299719B CN201610642728.3A CN201610642728A CN106299719B CN 106299719 B CN106299719 B CN 106299719B CN 201610642728 A CN201610642728 A CN 201610642728A CN 106299719 B CN106299719 B CN 106299719B
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q15/00—Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
- H01Q15/14—Reflecting surfaces; Equivalent structures
- H01Q15/141—Apparatus or processes specially adapted for manufacturing reflecting surfaces
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q15/00—Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
- H01Q15/14—Reflecting surfaces; Equivalent structures
- H01Q15/16—Reflecting surfaces; Equivalent structures curved in two dimensions, e.g. paraboloidal
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q19/00—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic
- H01Q19/10—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic using reflecting surfaces
- H01Q19/12—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic using reflecting surfaces wherein the surfaces are concave
- H01Q19/13—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic using reflecting surfaces wherein the surfaces are concave the primary radiating source being a single radiating element, e.g. a dipole, a slot, a waveguide termination
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Abstract
The method and parabola antenna of vortex electromagnetic wave are generated based on parabola antenna, method includes the following steps: by (ξ,) reflecting surface of parabola antenna marks off multiple face elements by two variables, so that reflecting surface becomes the paraboloid being made of several face elements；One layer of complex dielectric permittivity material is coated on each face element, to change the reflection coefficient on each face element surface, the complex dielectric permittivity of complex dielectric permittivity material coated by each face element is different.The present invention on the reflecting surface of antenna by ξ andTwo parameter subdivisions go out several face elements and coat different complex dielectric permittivity materials on each face element surface, to change the reflection coefficient on each face element surface, make the electromagnetic wave given off from feed after parabolic reflector, its wavefront wave beam adjacent part caused by reflecting surface has a phase difference, to form vortex electromagnetic wave.Present invention utilizes the architectural characteristic of parabola antenna and gain performance, there is the vortex electromagnetic wave of generation energy more to concentrate, the farther feature of transmission range.
Description
Technical field
The invention belongs to wireless communication technology fields, more particularly to one kind to be based on parabola antenna, utilize controllably dielectric again
Constant material generates the method for carrying the vortex electromagnetic wave of orbital angular momentum and the parabola antenna that can generate vortex electromagnetic wave.
Background technique
With the fast development of mobile communication, especially wireless communication technique, the wireless communication system of high-speed will necessarily
More frequency spectrum broadbands are occupied to a certain extent, face the serious scarcity of spatial frequency spectrum resource so as to cause wireless communication system
Predicament.In order to improve traffic rate and the availability of frequency spectrum, orthogonal frequency division multiplexi, Code Division Multiple Access, frequency division multiplexing and
The technologies such as quadrature amplitude modulation and Space-Time Codes are widely applied.
After the resources such as time, frequency, space, pattern and polarization in communication are as freedom degree, orbital angular momentum is made
For a new freedom degree, it is applied in wireless communication system, the carrier as data information.It can by orbital angular momentum multiplexing
To increase the transmission channel quantity between transmitting and receiving end, to improve message capacity, that is, the domain for carrying information is increased, etc.
Valence increases bandwidth, improves the availability of frequency spectrum.The vortex electromagnetic wave of orbital angular momentum is carried as a new technology, it can be with
The broadband for greatly widening wireless communication the problem of effective solution wireless communication spectrum scarcity is brought into leather to wireless communication
The influence of life property.Nature was once reported, was possible to greatly widen mobile phone, number using the distortion and wavelength of electromagnetic wave
Available bandwidth (Edwin Cartlidge, the Adding a twist to radio of TV and other communication technologys
technology)。
It is theoretical it is found that electromagnetic radiation carries energy and angular momentum simultaneously according to classical electrodynamics, and angular momentum includes retouching
State the spin angular momentaum of polarized state and the orbital angular momentum of description helical phase structure.It demonstrates and takes in L.Allen in 1992
With phase factorElectromagnetic beam have orbital angular momentum lh characteristic, thus orbital angular momentum application obtain
Extensive research and development.Physicist shows that light wave is also electromagnetic wave later, and orbital angular momentum also can be applied to wirelessly
Electrical domain, 2007, Thide, which is put forward for the first time, was applied to low frequency for photon trajectory angular momentum, can use phase by simulating, verifying
The vortex electromagnetic wave that array antenna generates similar Laguerre Gauss vortex beams is controlled, has started and has been applied to orbital angular momentum wirelessly
The beginning of the communications field.Tamburini in 2012 et al. is realized on 2.4GHz carrier frequency using modified spiral parabola antenna
The OAM channels of two modes of l=0 and l=1.
Vortex electromagnetic wave is that orbital angular momentum is applied in electromagnetic wave, in normal electromagnetic wave add phase rotation because
SonMaking electromagnetic wave wavefront is no longer planar structure, but rotates around beam propagation direction, shows a kind of spiral
The phase structure of shape.Carry the vortex electromagnetic wave of orbital angular momentum is mainly characterized by possessing the equiphase surface of spiral, and is
It is threadingly advanced, vortex electromagnetic wave is represented by In order to generate the electromagnetic wave wave for carrying orbital angular momentum
Beam mainly has four kinds of generation/hairs such as transmission helical structure, transmission grating structure, spiral reflecting surface structure and aerial array at present
Penetrate mode:
It is by electromagnetic wave beam through transparent spiral phase plate, spiral 1. transmiting helical structure generates orbital angular momentum
The thickness of phase-plate and the azimuth around phase-plate centerDirectly proportional, the surface texture at both ends is plane and helical form respectively
Face, helical form noodles are similar to a rotation ladder, and the spiral shape thickness of spiral phase plate makes transmitted light beam change in optical path length different,
Caused phase changing capacity is different, and transmission wave beam has been assigned the characteristic of helical phase, so that normal electromagnetic wave is added to one
It is a to form vortex electromagnetic wave with space correlation phase factor；
2. transmission grating structure generates orbital angular momentum, function is similar with spiral phase plate, using holography method is calculated, passes through
It crosses analog simulation and generates holographic plate, on beam to different holographic plates, will obtain carrying the vortex electromagnetism of orbital angular momentum
Wave；
3. spiral reflecting surface structure generates orbital angular momentum, spiral reflection bread has contained stepped reflecting surface and spiral parabolic
Face, the principle for generating vortex electromagnetic wave is using non-planar spiral structure, so that wavefront draws on the reflecting surface of different zones
The wave beam adjacent part risen has a relative delay, to achieve the effect that wavefront distorts；
It is by changing adjacent array element feeding phase difference, so that between each a period of time 4. aerial array generates orbital angular momentum
Have phase delay, thus obtain rotating a circle around axis, phase increases by the vortex electromagnetic wave of 2 π l, by adjusting adjacent array element
Feeding phase difference carries the vortex wave beam of different mode OAM to generate.
But above several special antenna structures can produce vortex electromagnetic wave, it is at high cost there are antenna structure complexity
The deficiencies of.
Summary of the invention
The object of the present invention is to provide a kind of methods for generating and carrying orbital angular momentum vortex electromagnetic wave.
It is a further object of the present invention to provide a kind of parabola antennas that can produce vortex electromagnetic wave.
In order to realize that above-mentioned first purpose, the present invention take following technical solution:
The method for generating vortex electromagnetic wave based on parabola antenna, comprising the following steps:
Step 1: by (ξ,) reflecting surface of parabola antenna marks off multiple face elements by two variables, so that reflecting surface
Become the paraboloid being made of several face elements, wherein ξ line and parabolic axis between feed and reflecting surface member center
Angle, ξ=0~2arctan (R0/2f),It is reflecting surface member center using x-axis as the attitude of reference axis,R0For the radius in the bore face of parabola antenna, f is the focal length of parabola antenna；
Step 2: coating one layer of complex dielectric permittivity material, on each face element to change the reflection system on each face element surface
It counts, the complex dielectric permittivity of complex dielectric permittivity material coated by each face element is different.
In order to realize that above-mentioned second purpose, the present invention take following technical solution:
Parabola antenna, including reflecting surface and positioned at the feed of reflecting surface focal point, the reflecting surface by (ξ,) two
Variable partitions go out multiple face elements, so that reflecting surface becomes the paraboloid being made of several face elements, one layer is coated on each face element again
Dielectric constant material, and on each face element complex dielectric permittivity material complex dielectric permittivity it is different, wherein ξ is feed and anti-
Penetrate the angle of line and parabolic axis between face element center on face, ξ=0~2arctan (R0/2f),For reflecting surface
First center using x-axis as the attitude of reference axis,R0For the radius in the bore face of parabola antenna, f is parabolic
The focal length of surface antenna.
More specifically, the complex dielectric permittivity of complex dielectric permittivity material coated by a certain face element is on reflecting surfaceWherein, ε 0 is vacuum complex dielectric permittivity, and ε ' is the real part of opposite complex dielectric permittivity ε '-j ε ", and ε " is
The imaginary part of opposite complex dielectric permittivity ε '-j ε ", j is imaginary unit；Using complex dielectric permittivity material interface to vertically polarized wave or water
The phase angle of the reflection coefficient of flat polarized waveAnd the amplitude of complex dielectric permittivity material reflection coefficient | R | it is 1, simultaneous side
Journey group finds out the real and imaginary parts of the opposite complex dielectric permittivity of complex dielectric permittivity material coated on each face element, so that it is determined that applying
Overlay on the complex dielectric permittivity of complex dielectric permittivity material on the face element.
More specifically, when the plane electromagnetic wave of vertical polarization is incident on antenna reflective face, on reflecting surface on a certain face element
The real and imaginary parts of the opposite complex dielectric permittivity of the complex dielectric permittivity material of coating are found out according to following equation group:
Wherein, ψ is incidence angle of the feed to tangent plane where reflecting surface member center, and j is imaginary unit,l
For electromagnetism swirl pattern number,It is reflecting surface member center using x-axis as the attitude of reference axis, | R | for institute on face element
The amplitude of the complex dielectric permittivity material reflection coefficient of coating.
More specifically, when the plane electromagnetic wave of horizontal polarization is incident on antenna reflective face, on reflecting surface on a certain face element
The real and imaginary parts of the opposite complex dielectric permittivity of the complex dielectric permittivity material of coating are found out according to following equation group:
More specifically, when equation group being transformed to following equation group to vertically polarized wave incidence on reflecting surface with ξ,Take
The real part ε ' and imaginary part ε " for being worth the opposite complex dielectric permittivity of complex dielectric permittivity material coated by corresponding face element are solved:
Wherein,
More specifically, when equation group being transformed to following equation group to horizontal polarized wave incidence on reflecting surface with ξ,Take
The real part ε ' and imaginary part ε " for being worth the opposite complex dielectric permittivity of complex dielectric permittivity material coated by corresponding face element are solved:
The present invention uses the structure of parabola antenna, on the reflecting surface of antenna by ξ andTwo parameter subdivisions are several out
A face element makes reflecting surface form mesh shape, and coats different complex dielectric permittivity materials on each face element surface, every to change
The reflection coefficient on a face element surface, because there are a position mapping relations with bore face for reflecting surface, so that being originally in phase mouth
There are a phase delay between each face element on diametric plane, the bore face structure being made of in this way each face element can regard one as
Antenna array structure makes the electromagnetic wave given off from feed after parabolic reflector, and wavefront wave beam caused by reflecting surface is adjacent
Part has a phase difference, to form vortex electromagnetic wave.Compared to the previous method for generating vortex electromagnetic wave, the method for the present invention is more
For simplicity, and parabola antenna has the function of improving antenna gain, focused electromagnetic wave, can be effectively improved the gain of feed
And directionality improves the availability of frequency spectrum to improve wireless communication capacity, is able to achieve multi-user, multi-modal vortex electromagnetic wave
Efficient multiplexing and networking.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of rotary parabolic surface antenna；
Fig. 2 is the subdivision schematic diagram of rotary parabolic surface antenna.
Specific embodiment
Present invention will now be described in detail with reference to the accompanying drawings., when describing the embodiments of the present invention, for purposes of illustration only, indicating
The attached drawing of device architecture can disobey general proportion and do partial enlargement, and the schematic diagram is example, should not limit herein
The scope of protection of the invention.It should be noted that attached drawing uses simplified form and uses non-accurate ratio, only to side
Just, the purpose of the embodiment of the present invention is clearly aided in illustrating.
With the fast development of wireless communication, the availability of frequency spectrum how is greatly promoted as insider's concern
Focus, after the multiplexing technologies such as polarization multiplexing, orthogonal frequency division multiplexing reach its maturity, orbital angular momentum possesses efficient frequency because of it
Spectrum utilization rate has caused the concern of domestic and international academia.Carrying the vortex electromagnetic wave of orbital angular momentum is a kind of with before special Wave
The electromagnetic wave of structure is gained the name the electromagnetic wave that is vortexed because equiphase surface is in vortex shape.The vortex electromagnetic wave for possessing orbital angular momentum can
To constitute infinite dimensional Hilbert space, theoretically extremely strong transmission can be obtained using orbital angular momentum multiplexing with same carrier frequency
Ability.
Since electromagnetic radiation has radiation essence, with the increase of propagation distance, identical radiation energy will cover bigger
Space can bring the loss of electromagnetic wave energy, the incoming wave signal for causing receiving antenna to receive weakens.Compared with Ordinary Electromagnetic Wave,
Vortex electromagnetic wave can have the distance of effect spread may be shorter due to the presence of vortex phase singular point at its axis, therefore improve
The gain of antenna becomes even more important.In microwave band, parabola antenna can obtain higher gain, by making the electricity that is vortexed
Magnetic wave wave beam narrows, and energy is more concentrated, so that corresponding propagation distance becomes farther, has and improves antenna gain, focuses electricity
The effect of magnetic wave can improve the gain and directionality of feed, for this purpose, the present invention generates vortex using rotary parabolic surface antenna
Electromagnetic wave, carries out subdivision by the reflecting surface to parabola antenna and forms multiple face elements, coats on each face element after subdivision multiple
The different complex dielectric permittivity material of dielectric constant, keeps the reflection coefficient of each face element different, to obtain vortex electromagnetic wave.
The present embodiment is illustrated the method for the present invention by taking single parabolic antenna as an example, and the method for the present invention is double to such as Cassegrain antenna etc.
Reflector antenna and multiple reflection surface antenna are equally applicable.
Fig. 1 show the structural schematic diagram of rotary parabolic surface antenna.Rotary parabolic surface antenna includes the anti-of parabolic shape
It penetrates face s and the feed a positioned at reflecting surface focal point, reflecting surface s is fixed by the bracket.The groundwork of rotary parabolic surface antenna is former
Reason is: be placed in spherical wave that feed a in reflecting surface s focus is issued after reflecting surface s reflection, become plane wave, then to
Space radiation；Mainly there are two effects by reflecting surface s: first is that expanding swept area, second is that the phase in correction mouth face, makes bore face
It is with phase field, to form the narrow beam with high-gain on s '.
In order to generate vortex electromagnetic wave, the method for the invention for generating vortex electromagnetic wave based on parabola antenna includes following
Step:
Step 1, by (ξ,) the reflecting surface s of parabola antenna marks off multiple face elements by two variables, so that reflecting surface
Become the paraboloid being made of several face elements, wherein ξ is line r ' and throwing between (a certain) face element center on feed and reflecting surface
The angle of object plane axis,It is (a certain) face element center on reflecting surface using x-axis as the attitude of reference axis；
As shown in Fig. 2, the incidence angle that ψ is tangent plane Q where (a certain) face element center on feed to reflecting surface, ψ=0~
arctan(R0/ 2f), the ψ of ξ=2, then the value range of ξ is 0~2arctan (R0/ 2f),Value range be 0~2 π, R0For
The radius of the bore face s ' of parabola antenna, f are the focal length of parabola antenna, and z-axis is overlapped with the axis of parabola antenna, x-axis
It is respectively perpendicular to z-axis with y-axis, and x-y-z meets right-hand screw rule；ξ,By certain step-length in respective value range
Interior continuous value, when ξ,When determining, that is, it can determine the position of the size and face element of face element on the reflecting surface, ξ,In value
The step-length of continuous value is bigger in range, and the area of face element is bigger, and the face element quantity divided is then fewer, conversely, ξ,?
The step-length of continuous value is smaller in value range, and the area of face element is smaller, and the face element quantity divided is then more, for example, ξ,With step-length for 1 ° of continuous value in respective value range, i.e. ξ,Take respectively 0 °, 1 °, 2 °, 3 ° ... and ξ,With step
A length of 0.1 ° of continuous value, i.e. ξ,0 °, 0.1 °, 0.2 °, 0.3 ° ... are taken respectively, are that 1 ° of continuous value divides to obtain by step-length
Face element area compared to being that the face element area that divides of 0.1 ° of continuous value is big by step-length, correspondingly, being 1 ° by step-length
The face element quantity that continuous value divides will be lacked；
Step 2 coats one layer of complex dielectric permittivity material on each face element, and complex dielectric permittivity material answers on each face element
Dielectric constant is all different, and the complex dielectric permittivity of complex dielectric permittivity material coated by a certain face element is on reflecting surfaceWherein, ε0For vacuum complex dielectric permittivity, ε ' is the real part of opposite complex dielectric permittivity ε '-j ε ", and ε " is phase
To the imaginary part of complex dielectric permittivity ε '-j ε ", j is imaginary unit；By coating complex dielectric permittivity material on the face element of subdivision, with
Change the reflection coefficient on each face element surface
When complex dielectric permittivity material interface is to the phase angle of the reflection coefficient of vertically polarized wave or horizontal polarized wave When,
There can be phase rotation coefficient in electromagnetic waveUtilize β and the amplitude of complex dielectric permittivity material reflection coefficient | R | be
1, Simultaneous Equations find out the real and imaginary parts of the opposite complex dielectric permittivity of complex dielectric permittivity material coated on each face element.
When the plane electromagnetic wave of vertical polarization is incident on the antenna reflective face for being coated with complex dielectric permittivity material, reflecting surface
The real and imaginary parts of the opposite complex dielectric permittivity of the complex dielectric permittivity material coated on upper a certain face element are asked according to following equation group
Out:
Wherein, ψ is incidence angle of the feed to tangent plane where reflecting surface member center, and j is imaginary unit,l
For electromagnetism swirl pattern number,It is reflecting surface member center using x-axis as the attitude of reference axis, | R | for institute on face element
The amplitude of the complex dielectric permittivity material reflection coefficient of coating；
According to ξ,Value, solve above equation group can be obtained with ξ,Multiple Jie coated by the corresponding face element of value
The real and imaginary parts of the opposite complex dielectric permittivity of permittivity material, so that it is determined that being coated in complex dielectric permittivity material on the face element
Corresponding complex dielectric permittivity material can be coated on the face element by complex dielectric permittivity.
When the plane electromagnetic wave of horizontal polarization is incident on the antenna reflective face for being coated with complex dielectric permittivity material, reflecting surface
The real and imaginary parts of the opposite complex dielectric permittivity of the complex dielectric permittivity material coated on upper a certain face element are asked according to following equation group
Out:
Likewise, according to ξ,Value and β and | R |, solve above equation group i.e. can determine with ξ,Value is corresponding
Face element coated by complex dielectric permittivity material complex dielectric permittivity.
Further, equation group when vertically polarized wave incidence can transform to following equation group:
Wherein,Vertically polarized wave incidence can be obtained by solving above equation group
When reflecting surface on ξ,The corresponding face element of value coated by complex dielectric permittivity material opposite complex dielectric permittivity real part
ε ' and imaginary part ε ".
Further, equation group when horizontal polarized wave incidence can transform to following equation group:
On same reflecting surface when horizontal polarized wave incidence can be obtained by solution above equation group with ξ,Value pair
The real part ε ' and imaginary part ε " of the opposite complex dielectric permittivity of complex dielectric permittivity material coated by the face element answered.
The complex dielectric permittivity for the complex dielectric permittivity material that the present invention coats on each face element on parabola antenna reflecting surface with
The ξ of the paraboloid of revolution andTwo variable changes correspond to radius and azimuthal variation with antenna opening diametric plane and change, from
And on controllable paraboloid of revolution antenna reflective face each point source reflection coefficient, each not phase of the reflection coefficient on each face element surface
Meanwhile exp phase factor of (- j β) can be provided for each face element on parabola antenna bore face, make the anti-of parabola antenna
The face of penetrating can regard the antenna array being made of several continuous source antennas as, the electromagnetic wave given off from feed after parabolic reflector,
Its wavefront wave beam adjacent part caused by reflecting surface has a phase difference, so that caused by wavefront is on the reflecting surface of different face elements
Wave beam adjacent part has a relative delay, achievees the effect that wavefront distorts, to generate vortex electromagnetic wave.
The present invention has using the reflection coefficient of complex dielectric permittivity materialPlural form realize
Phase shift is reflected, the real and imaginary parts of opposite complex dielectric permittivity are solved according to the reflection coefficient of complex dielectric permittivity material, are determined with this
The complex dielectric permittivity material coated at each face element, so that vortex electromagnetic wave is generated using parabola antenna, compared to existing
The method for generating vortex electromagnetic wave ensure that traditional parabola antenna without changing the essential structure of traditional parabola antenna
Integrality, and using the architectural characteristic and gain performance of parabola antenna, there is the vortex electromagnetic wave of generation energy more to collect
In, the farther characteristic of transmission range.
The above described is only a preferred embodiment of the present invention, limitation in any form not is done to the present invention, though
So the present invention has been disclosed as a preferred embodiment, and however, it is not intended to limit the invention, any technology people for being familiar with this profession
Member, without departing from the scope of the present invention, when the technology contents using the disclosure above are modified or are modified
For the equivalent embodiment of equivalent variations, but anything that does not depart from the technical scheme of the invention content, according to the technical essence of the invention
Any simple modification, equivalent change and modification to the above embodiments, all of which are still within the scope of the technical scheme of the invention.
Claims (4)
1. the method for generating vortex electromagnetic wave based on parabola antenna, which comprises the following steps:
Step 1: pressingThe reflecting surface of parabola antenna is marked off multiple face elements by two variables, so that reflecting surface becomes
At the paraboloid being made of several face elements, wherein ξ line and parabolic axis between feed and reflecting surface member center
Angle, ξ=0~2arctan (R0/ 2f),It is reflecting surface member center using x-axis as the attitude of reference axis,R0For the radius in the bore face of parabola antenna, f is the focal length of parabola antenna；
Step 2: coating one layer of complex dielectric permittivity material on each face element, to change the reflection coefficient on each face element surface, often
The complex dielectric permittivity of complex dielectric permittivity material coated by a face element is different；
The complex dielectric permittivity of complex dielectric permittivity material coated by a certain face element is on reflecting surface Its
In, ε0For vacuum complex dielectric permittivity, ε ' is the real part of opposite complex dielectric permittivity ε '-j ε ", and ε " is opposite complex dielectric permittivity ε '-j ε "
Imaginary part, j is imaginary unit；
Using complex dielectric permittivity material interface to the phase angle of the reflection coefficient of vertically polarized wave or horizontal polarized wave And
The amplitude of complex dielectric permittivity material reflection coefficient | R | it is 1, Simultaneous Equations find out complex dielectric permittivity material coated on each face element
The real and imaginary parts of the opposite complex dielectric permittivity of material, so that it is determined that the multiple dielectric for being coated in complex dielectric permittivity material on the face element is normal
Number；
When the plane electromagnetic wave of vertical polarization is incident on antenna reflective face, the multiple dielectric coated on a certain face element on reflecting surface is normal
The real and imaginary parts of the opposite complex dielectric permittivity of number material are found out according to following equation group:
Wherein, ψ is incidence angle of the feed to tangent plane where reflecting surface member center, and j is imaginary unit,L is electricity
Vortex pattern count, | R | for the amplitude of complex dielectric permittivity material reflection coefficient coated on face element；
When the plane electromagnetic wave of horizontal polarization is incident on antenna reflective face, the multiple dielectric coated on a certain face element on reflecting surface is normal
The real and imaginary parts of the opposite complex dielectric permittivity of number material are found out according to following equation group:
2. the method according to claim 1 for generating vortex electromagnetic wave based on parabola antenna, it is characterised in that: by equation
When group is transformed to following equation group to vertically polarized wave incidence on reflecting surface with ξ,The corresponding face element of value coated by answer
The real part ε ' and imaginary part ε " of the opposite complex dielectric permittivity of dielectric constant material are solved:
Wherein,
3. the method according to claim 1 for generating vortex electromagnetic wave based on parabola antenna, it is characterised in that: by equation
When group is transformed to following equation group to horizontal polarized wave incidence on reflecting surface with ξ,The corresponding face element of value coated by answer
The real part ε ' and imaginary part ε " of the opposite complex dielectric permittivity of dielectric constant material are solved:
4. parabola antenna, including reflecting surface and positioned at the feed of reflecting surface focal point, it is characterised in that: the reflecting surface is pressedTwo variable partitions go out multiple face elements, so that reflecting surface becomes the paraboloid being made of several face elements, each face element
One layer of complex dielectric permittivity material of upper coating, and on each face element complex dielectric permittivity material complex dielectric permittivity it is different, wherein
The angle of ξ line and parabolic axis between feed and reflecting surface member center, ξ=0~2arctan (R0/ 2f),For
Reflecting surface member center using x-axis as the attitude of reference axis,R0It is the half of the bore face of parabola antenna
Diameter, f are the focal length of parabola antenna；
The complex dielectric permittivity of complex dielectric permittivity material coated by a certain face element is on reflecting surface Its
In, ε0For vacuum complex dielectric permittivity, ε ' is the real part of opposite complex dielectric permittivity ε '-j ε ", and ε " is opposite complex dielectric permittivity ε '-j ε "
Imaginary part, j is imaginary unit；
Using complex dielectric permittivity material interface to the phase angle of the reflection coefficient of vertically polarized wave or horizontal polarized wave And
The amplitude of complex dielectric permittivity material reflection coefficient | R | it is 1, Simultaneous Equations find out on each face element that coated to answer dielectric relatively normal
The real and imaginary parts of the opposite complex dielectric permittivity of number material, so that it is determined that being coated in multiple Jie of complex dielectric permittivity material on the face element
Electric constant；
When the plane electromagnetic wave of vertical polarization is incident on antenna reflective face, the multiple dielectric coated on a certain face element on reflecting surface is normal
The real and imaginary parts of the opposite complex dielectric permittivity of number material are found out according to following equation group:
Wherein, ψ is incidence angle of the feed to tangent plane where reflecting surface member center, and j is imaginary unit,L is electricity
Vortex pattern count, | R | for the amplitude of complex dielectric permittivity material reflection coefficient coated on face element；
When the plane electromagnetic wave of horizontal polarization is incident on antenna reflective face, the multiple dielectric coated on a certain face element on reflecting surface is normal
The real and imaginary parts of the opposite complex dielectric permittivity of number material are found out according to following equation group:
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| CN108923130B (en) * | 2018-06-08 | 2021-01-05 | 西安电子科技大学 | Vortex field reflecting surface antenna based on super surface |
| CN108964741B (en) * | 2018-06-15 | 2021-07-20 | 上海卫星工程研究所 | Satellite-borne X-frequency-band high-speed data transmission system |
| CN109539976A (en) * | 2018-11-23 | 2019-03-29 | 哈尔滨工业大学 | Homodyne interferometer non-linearity error correcting method and device based on spiral phase plate |
| CN112038766B (en) * | 2020-09-17 | 2021-10-29 | 上海交通大学 | Wave beam convergence design method of high-gain eight-mode vortex electromagnetic wave reflecting surface antenna |
| CN115458946A (en) * | 2022-08-10 | 2022-12-09 | 电子科技大学 | Vortex wave super-surface antenna with high gain and low divergence angle |
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| 轨道角动量在无线通信中的研究新进展综述;孙学宏 等;《电子学报》;20151115;第43卷(第11期);2305-2314 |
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