CN112599984B - Design method of broadband reflection super surface and broadband reflection super surface - Google Patents

Design method of broadband reflection super surface and broadband reflection super surface Download PDF

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CN112599984B
CN112599984B CN202011212714.0A CN202011212714A CN112599984B CN 112599984 B CN112599984 B CN 112599984B CN 202011212714 A CN202011212714 A CN 202011212714A CN 112599984 B CN112599984 B CN 112599984B
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resonance
super surface
broadband
super
resonance units
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CN112599984A (en
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鲁焕
郑斌
蔡通
陈红胜
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ZJU Hangzhou Global Scientific and Technological Innovation Center
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q15/00Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
    • H01Q15/0006Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices
    • H01Q15/0086Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices having materials with a synthesized negative refractive index, e.g. metamaterials or left-handed materials
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q15/00Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
    • H01Q15/14Reflecting surfaces; Equivalent structures
    • H01Q15/141Apparatus or processes specially adapted for manufacturing reflecting surfaces

Abstract

The invention discloses a design method of a broadband reflection super surface and the broadband reflection super surface, wherein the method comprises the following steps: sequentially connecting a plurality of resonance units; the resonance units are composed of a dielectric plate and copper sheets, the sizes of the copper sheets in each resonance unit are different, and the reflection modulation phase generated when the electromagnetic wave passes through the super surface is calculated; and obtaining the copper sheet size corresponding to the reflection modulation phase according to a phase size comparison table simulated in advance. According to the broadband reflection super surface disclosed by the invention, frequency separation can be carried out on incident electromagnetic waves of a broadband, and meanwhile, the separated frequencies are respectively focused on different positions of a focal plane, and the broadband reflection super surface is simple to prepare, low in cost and easy to realize.

Description

Design method of broadband reflection super surface and broadband reflection super surface
Technical Field
The invention relates to the technical field of electromagnetic super surfaces, in particular to a design method of a broadband reflection super surface and the broadband reflection super surface.
Background
Wavelength dispersion is an important characteristic in the design of optical elements, and for frequency-dependent devices, wavelength dispersion can be regulated by properly adjusting the wavefront of an electromagnetic wave. The existing wavefront control electromagnetic device utilizes natural or artificial electromagnetic materials to realize various functions, such as a focusing lens, a beam splitter and the like. These conventional electromagnetic devices are heavy, complex to manufacture, costly, inefficient, and have been limited in practical applications. The super surface is an ultrathin component based on the principle of the generalized snell's law, and in recent years, the sub-wavelength structure electromagnetic regulation and control technology is used for developing various multifunctional devices such as light beam deflection, focusing, imaging equipment and the like due to the flexible design and the multi-parameter electromagnetic regulation and control capacity of accurate phase, amplitude, polarization and the like of the sub-wavelength scale.
The technology of realizing frequency separation and focusing scanning by using the super surface has important application in the electromagnetic field, such as synthetic aperture radar multi-mode imaging, phased array radar scanning, sensing, communication and the like. However, the existing focusing super-surface structure can only work in a target frequency or a specific frequency range, and the broadband performance is difficult to realize. In addition, these super-surface structures have difficulty in achieving effective control over the location of the frequency-dividing focus when performing the focusing function.
Disclosure of Invention
The embodiment of the disclosure provides a design method of a broadband reflection super surface and the broadband reflection super surface. The following presents a simplified summary in order to provide a basic understanding of some aspects of the disclosed embodiments. This summary is not an extensive overview and is intended to neither identify key/critical elements nor delineate the scope of such embodiments. Its sole purpose is to present some concepts in a simplified form as a prelude to the more detailed description that is presented later.
In a first aspect, an embodiment of the present disclosure provides a design method of a broadband reflection super surface, including:
sequentially connecting a plurality of resonance units;
the resonance units are composed of a dielectric plate and copper sheets, and the copper sheets in each resonance unit are different in size.
Further, each resonant cell is a square of equal size.
Further, calculating a reflection modulation phase generated when the electromagnetic wave passes through the super surface; and obtaining the copper sheet size corresponding to the reflection modulation phase according to a phase size comparison table simulated in advance.
Further, calculating a reflection modulation phase generated when the electromagnetic wave passes through the super surface includes:
calculating a reflection modulation phase generated when the electromagnetic wave passes through the super surface according to the following formula;
Figure BDA0002759344190000021
wherein the content of the first and second substances,λ is the wavelength of the incident electromagnetic wave, x is the serial number of each resonant cell,
Figure BDA0002759344190000022
Figure BDA0002759344190000023
n is the number of the resonance units, p is the side length of the resonance units, d is the distance between the frequency points of each focus, F is the focal length,
Figure BDA0002759344190000024
Figure BDA0002759344190000025
is an additional phase, λ min Is the shortest wavelength of the incident electromagnetic wave, λ max δ is the modulation factor for the longest wavelength of the incident electromagnetic wave.
Further, before obtaining the copper sheet size corresponding to the reflection modulation phase according to the phase size comparison table simulated in advance, the method further comprises the following steps:
and simulating the resonance unit according to electromagnetic simulation software to obtain reflection modulation phases corresponding to different copper sheet sizes.
Further, the dielectric constant of the dielectric plate is 2.65.
In a second aspect, embodiments of the present disclosure provide a broadband reflective super-surface, comprising:
the resonance unit comprises a plurality of resonance units which are connected in sequence;
the resonance unit consists of a dielectric board and copper sheets, and the copper sheets in each resonance unit are different in size.
Further, each resonance unit is a square with equal size.
Further, the dielectric constant of the dielectric plate is 2.65.
The technical scheme provided by the embodiment of the disclosure can have the following beneficial effects:
according to the broadband reflection super-surface design method provided by the embodiment of the disclosure, the incident wave is regulated and controlled by using the super-surface with the sub-wavelength geometric structure. The conventional wavefront regulation and control device is large in weight, complex to manufacture, high in cost and low in efficiency, and the super-surface constructed by the sub-wavelength geometric structure is light in weight, small in size, simple to prepare, free of a higher process and easy to realize. In addition, the broadband reflection super surface supports the separation of each frequency point in broadband. In the prior art, the super-surface structure can only work in one target frequency or a specific frequency range, and is difficult to realize broadband performance. Finally, the separated frequencies can be respectively focused on different positions of a focal plane, so that the focus can be controlled in a wide frequency band.
It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the invention, as claimed.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the invention and together with the description, serve to explain the principles of the invention.
FIG. 1 is a technical schematic of a broadband reflective super-surface shown in accordance with an exemplary embodiment;
FIG. 2 is a graphical illustration of experimental results shown in accordance with an exemplary embodiment.
Detailed Description
So that the manner in which the features and elements of the disclosed embodiments can be understood in detail, a more particular description of the disclosed embodiments, briefly summarized above, may be had by reference to the embodiments, some of which are illustrated in the appended drawings. In the following description of the technology, for purposes of explanation, numerous details are set forth in order to provide a thorough understanding of the disclosed embodiments. However, one or more embodiments may be practiced without these details. In other instances, well-known structures and devices may be shown in simplified form in order to simplify the drawing.
According to the embodiment of the disclosure, the broadband reflection super surface is constructed on the basis of the plurality of resonance units, and when electromagnetic waves vertically enter the reflection super surface, the track of the reflected beams is controlled by reasonably designing the size of the copper sheet in the resonance units, so that each frequency point of the electromagnetic beams is separated and focused. And moreover, additional power supply equipment is not needed, the performance is stable, and compared with the prior art that only single focusing of special frequency points can be realized, the super-surface structure designed by the embodiment of the disclosure can break through the limitation of the special frequency points, and the regulation and control of multiple wave bands can be realized.
The following describes in detail a design method of a broadband reflective super surface provided by an embodiment of the present application with reference to fig. 1 to fig. 2.
In one possible implementation, a plurality of resonant units are connected in sequence, wherein each resonant unit is a square with equal size, for example, each resonant unit has a side length of 10mm and a number of 25. The number and size of the resonant units can be set by one skilled in the art, and the embodiment of the disclosure is not limited in particular.
The resonance units are composed of a dielectric plate and copper sheets, the dielectric plate is arranged on the periphery, the copper sheets are arranged in the middle, and the phase regulation and control of incident electromagnetic waves can be realized by changing the size of the copper sheets in each resonance unit, so that the frequency separation of the incident electromagnetic waves of a broadband is realized, and meanwhile, the separated frequencies are respectively focused on different positions of a focal plane.
Therefore, the dimensions of the copper sheets in the different resonance units need to be calculated. In one possible implementation, the phase of the reflection modulation generated when the electromagnetic wave passes through the super surface is calculated first, and the accumulated total phase is calculated when the super surface regulates and controls the phase of the electromagnetic wave
Figure BDA0002759344190000041
By
Figure BDA0002759344190000042
And
Figure BDA0002759344190000043
the two parts are formed, wherein,
Figure BDA0002759344190000044
is to enterThe phase generated by the wave path of the radio-electromagnetic wave,
Figure BDA0002759344190000045
the phase is the reflection modulation phase generated when the electromagnetic wave passes through the super surface, and the reflection modulation phase generated when the electromagnetic wave passes through the super surface can be calculated according to the following formula;
Figure BDA0002759344190000046
where λ is the wavelength of the incident electromagnetic wave, x is the serial number of each resonant cell,
Figure BDA0002759344190000047
Figure BDA0002759344190000048
n is the number of the resonance units, p is the side length of the resonance units, d is the distance between frequency points of each focus, F is the focal length,
Figure BDA0002759344190000049
Figure BDA00027593441900000410
is an additional phase, λ min Is the shortest wavelength of the incident electromagnetic wave, λ max δ is the modulation factor for the longest wavelength of the incident electromagnetic wave.
After the calculated reflection modulation phase is obtained, the size of the copper sheet corresponding to the phase can be obtained according to a phase size comparison table simulated in advance.
For example, when x is 1, the reflection modulation phase corresponding to the first resonance unit may be calculated, and then the size of the copper sheet corresponding to the phase may be obtained by querying the phase size comparison table, so as to determine the size of the copper sheet in the first resonance unit, and so on, the size of the copper sheet in each resonance unit may be determined in sequence.
In a possible implementation manner, before the size of the copper sheet corresponding to the reflection modulation phase is obtained according to a phase size comparison table simulated in advance, the method further comprises simulating a resonance unit according to electromagnetic simulation software to obtain the reflection modulation phases corresponding to different sizes of the copper sheet.
For example, a CST three-dimensional electromagnetic simulation software is adopted to simulate a resonance unit, the size of a copper sheet is continuously changed, the change range of the size of the copper sheet is set to be 0.1-10mm, the step length is set to be 0.1mm, and the number of phases which can be realized under different sizes of the copper sheet is observed and recorded, so that a phase size comparison table is obtained.
According to the steps, the sizes of the copper sheets in different resonance units can be calculated, then a dielectric board, for example, a dielectric board with the dielectric constant of 2.65, is arranged on the periphery of the copper sheets, so that designed resonance units are obtained, and the resonance units are sequentially connected in the one-dimensional direction, so that the designed broadband reflection super surface is obtained.
Fig. 1 is a technical schematic diagram illustrating a broadband reflection super surface, as shown in fig. 1, below which are a plurality of resonance units connected in sequence, that is, a broadband reflection super surface proposed in the embodiment of the present disclosure, according to which electromagnetic waves with a frequency of 8GHZ-12GHZ are frequency-separated and focused, in one possible implementation, a focal length F is set to 100mm, the number n of unit structures is 25, a size p of the unit structures is 10mm, the electromagnetic waves with a frequency of 8GHZ-12GHZ are perpendicularly incident on the super surface, the super surface separates the electromagnetic waves with different frequencies based on different sizes of copper sheets in the resonance units, and focuses the electromagnetic waves with the same frequency on the same position of a focal plane, for example, the electromagnetic waves with a frequency of 8GHZ are separated and focused on a certain position of the focal plane. Wherein d is the distance between different focus points on the focal plane.
Fig. 2 is a schematic diagram illustrating an experimental result, as shown in fig. 2, after the frequency of the electromagnetic waves is separated and focused by the broadband reflection super surface in the embodiment of the present disclosure, it can be clearly seen that the electromagnetic waves of the same frequency are focused together, and the electromagnetic waves of 8GHZ-12GHZ can be separated and focused, supporting the separation of each frequency point in a broadband band.
The embodiment of the disclosure also provides a broadband reflection super surface, which is composed of a plurality of resonance units connected in sequence, wherein each resonance unit is composed of a dielectric board and a copper sheet, the dielectric constant of the dielectric board is 2.65, and the copper sheets in each resonance unit are different in size. The track of the reflected wave beam is controlled by reasonably designing the size of the copper sheet in the resonance unit, so that each frequency point of the electromagnetic wave beam is separated and focused. The size of the copper sheet can be designed according to the design method of the broadband reflection super surface provided by the above embodiment, and will not be elaborated herein.
Further, each resonant unit is a square with the same size, the number and size of the resonant units in the super-surface are not specifically limited in the embodiments of the present disclosure, and those skilled in the art can set the resonant units according to the needs.
According to the broadband reflection super-surface provided by the embodiment of the disclosure, frequency separation can be performed on incident electromagnetic waves of a broadband, and meanwhile, the separated frequencies are respectively focused on different positions of a focal plane, and the broadband reflection super-surface is simple to prepare, low in cost and easy to realize.
The technical features of the above embodiments can be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the above embodiments are not described, but should be considered as the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above examples only show some embodiments of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the present invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention. Therefore, the protection scope of the present patent should be subject to the appended claims.

Claims (4)

1. A design method of a broadband reflection super surface is characterized by comprising the following steps:
calculating a reflection modulation phase generated when the electromagnetic wave passes through the super-surface, including calculating according to the following formula:
Figure FDA0003749182950000011
where λ is the wavelength of the incident electromagnetic wave, x is the serial number of each resonant cell,
Figure FDA0003749182950000012
n is the number of the resonance units, p is the side length of the resonance units, d is the distance between frequency points of each focus, F is the focal length,
Figure FDA0003749182950000013
Figure FDA0003749182950000014
is an additional phase, λ min Is the shortest wavelength of the incident electromagnetic wave, λ max Delta is the longest wavelength of the incident electromagnetic wave, delta is the modulation factor;
simulating the resonance unit according to electromagnetic simulation software to obtain reflection modulation phases corresponding to different copper sheet sizes;
obtaining the size of the copper sheet corresponding to the reflection modulation phase according to a phase size comparison table simulated in advance;
the resonance units are formed by a dielectric board and copper sheets, the dielectric board is arranged on the periphery, the copper sheets are arranged in the middle, and the resonance units are sequentially connected; the sizes of the copper sheets in each resonance unit are different, and each resonance unit is a square with the same side length.
2. The method of claim 1, wherein the dielectric plate has a dielectric constant of 2.65.
3. A broadband reflective super surface, comprising:
the resonance unit comprises a plurality of resonance units which are connected in sequence;
the resonance units are composed of a dielectric plate and copper sheets, the dielectric plate is arranged on the periphery of the resonance units, the copper sheets are arranged in the middle of the resonance units, the copper sheets in each resonance unit are different in size, and each resonance unit is a square with equal side length;
wherein the broadband reflective super-surface is generated based on the design method of the broadband reflective super-surface in claim 1.
4. A super-surface according to claim 3, wherein said dielectric sheet has a dielectric constant of 2.65.
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