CN106602231A - Quasi-surface plasmon ultra-wide band low-scattering slot antenna - Google Patents

Quasi-surface plasmon ultra-wide band low-scattering slot antenna Download PDF

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CN106602231A
CN106602231A CN201611008654.4A CN201611008654A CN106602231A CN 106602231 A CN106602231 A CN 106602231A CN 201611008654 A CN201611008654 A CN 201611008654A CN 106602231 A CN106602231 A CN 106602231A
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sspp
epsiv
quasi
slot antenna
metal
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李思佳
曹祥玉
高军
陈巍
周禹龙
张晨
韩彤
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Air Force Engineering University of PLA
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q1/00Details of, or arrangements associated with, antennas
    • H01Q1/36Structural form of radiating elements, e.g. cone, spiral, umbrella; Particular materials used therewith
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q1/00Details of, or arrangements associated with, antennas
    • H01Q1/50Structural association of antennas with earthing switches, lead-in devices or lightning protectors
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q13/00Waveguide horns or mouths; Slot antennas; Leaky-waveguide antennas; Equivalent structures causing radiation along the transmission path of a guided wave
    • H01Q13/10Resonant slot antennas

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Abstract

本发明公开了一种准表面等离激元的超宽带低散射缝隙天线,辐射口径为面积相同的圆形结构,圆的半径为r1=68mm;SSPP缝隙天线的介质板厚度为1mm;SSPP缝隙天线的背面馈电处20mm×40mm面积为金属,其中心位置为26mm×2mm的缝隙,其余位置不镀金属,介质板的介电常数为2.65,损耗角正切小于0.001。本发明实现了准表面等离激元的超宽带低散射缝隙天线,天线在1GHz~10GHz方位内有明显的RCS减缩效果,MRCS最大减缩量在16.93dB以上,SSPP缝隙天线的相对带宽为9.4%,其频率覆盖5.25GHz~5.77GHz,SSPP天线与传统天线相比,波束宽度至少展宽65°。

The invention discloses a quasi-surface plasmon ultra-broadband low-scattering slot antenna. The radiation aperture is a circular structure with the same area, and the radius of the circle is r 1 =68mm; the thickness of the dielectric plate of the SSPP slot antenna is 1mm; the SSPP The 20mm×40mm feeding area on the back of the slot antenna is made of metal, the center of which is a 26mm×2mm slot, and the rest is not plated with metal. The dielectric constant of the dielectric plate is 2.65, and the loss tangent is less than 0.001. The invention realizes the ultra-wideband low-scattering slot antenna of the quasi-surface plasmon polaritons, the antenna has obvious RCS reduction effect in the azimuth of 1GHz-10GHz, the maximum reduction of MRCS is above 16.93dB, and the relative bandwidth of the SSPP slot antenna is 9.4 %, its frequency covers 5.25GHz to 5.77GHz, and the beam width of the SSPP antenna is at least 65° wider than that of the traditional antenna.

Description

一种准表面等离激元的超宽带低散射缝隙天线A quasi-surface plasmon ultra-wideband low-scattering slot antenna

技术领域technical field

本发明属于新型电磁超材料与应用领域,尤其涉及一种准表面等离激元的超宽带低散射缝隙天线。The invention belongs to the field of novel electromagnetic metamaterials and applications, in particular to an ultra-wideband low-scattering slot antenna of quasi-surface plasmons.

背景技术Background technique

表面等离激元(Surface Plasmon Polaritons,SPP)是一种表面电磁波模式,它通常存在于介电常数相反的两种材料表面,因为其表面波特征,某些频段的电磁波(如光波)能被约束在亚波长的空间范围。一般的表面等离激元主要存在于光波频段的纳米结构。亚波长小孔结构的理想导体等效介电常数,当电磁波入射到小孔时,小孔的衰减波导模式被激发,仅考虑起超透主导作用的基模,其计算结果表明:带有亚波长小孔的理想导体与等离子体材料具有近似的等效介电常数。从这一成果可知,当电磁波入射到带有亚波长小孔的理想导体时,会激发出类似于SPP的表面波,称之为准表面等离激元(Spoof SurfacePlasmonPolaritons,SSPP)。SSPP研究不仅拓展了表面等离激元的研究内容,更拓展其应用的领域。为了激发微波频段的准表面等离激元,学者们提出两类方法:一类是通过掺杂半导体、高温超导材料等激发SSPP;另一种是通过金属表面微结构降低金属的表面等离子频率。前者主要是利用光热激发和离子注入等方法控制载流子浓度,使等离子体频率降低,实现低频段的SSPP。后者是由于周期结构化的金属表面可以支持SSPP的表面波模式。Metamaterial的快速发展为微波频段的SSPP研究注入了新的活力。分析了立体周期槽状结构的SSPP波传播特性,其研究结果表明所设计的槽结构能够支持0.8THz的SSPP波传播。在双面覆铜板的上层金属面蚀刻“王”字形结构,利用该结构激发SSPP。结合渐变的超表面(Metasurface)结构耦合出微波频段的SSPP,并分析了其结构上的SSPP表面波传播状态。分析了周期结构的宽带SSPP特征,研究发现周期的CSRR环能够支持SSPP表面波的传播。分析了圆形准超表面的表面等离激元现象,验证了该超表面在不同极化下均能够激发SSPP,研究结果表明该准超表面能有效调控电磁波的传播方向,改善准超表面的散射特性。这些研究都推进了SSPP的发展,但由于微波频段的SSPP非常新颖,因此关于其在天线中的应用鲜有报道。Surface Plasmon Polaritons (SPP) is a surface electromagnetic wave mode, which usually exists on the surface of two materials with opposite dielectric constants. Because of its surface wave characteristics, electromagnetic waves (such as light waves) in certain frequency bands can be constrained to a subwavelength spatial extent. General surface plasmons mainly exist in nanostructures in the light wave band. The equivalent permittivity of an ideal conductor with a subwavelength small hole structure. When the electromagnetic wave is incident on the small hole, the attenuated waveguide mode of the small hole is excited. Only the fundamental mode that plays a leading role in supertransmission is considered. The calculation results show that: Ideal conductors for wavelength pinholes have similar equivalent dielectric constants to plasmonic materials. From this result, it can be known that when an electromagnetic wave is incident on an ideal conductor with a small subwavelength hole, surface waves similar to SPP will be excited, which are called quasi-surface plasmon polaritons (Spoof Surface Plasmon Polaritons, SSPP). SSPP research not only expands the research content of surface plasmons, but also expands its application fields. In order to excite quasi-surface plasmons in the microwave frequency range, scholars have proposed two methods: one is to excite SSPP by doping semiconductors, high-temperature superconducting materials, etc.; the other is to reduce the surface plasmon frequency of metals through the metal surface microstructure. . The former mainly uses methods such as photothermal excitation and ion implantation to control the carrier concentration to reduce the plasma frequency and realize SSPP in the low frequency range. The latter is due to the fact that the periodically structured metal surface can support the surface wave mode of SSPP. The rapid development of Metamaterial has injected new vitality into the SSPP research in the microwave band. The SSPP wave propagation characteristics of the three-dimensional periodic trough structure are analyzed, and the research results show that the designed trough structure can support 0.8THz SSPP wave propagation. Etch a "king"-shaped structure on the upper metal surface of the double-sided copper-clad laminate, and use this structure to excite SSPP. Combined with the gradual metasurface (Metasurface) structure, the SSPP in the microwave frequency band is coupled, and the propagation state of the SSPP surface wave on the structure is analyzed. The broadband SSPP characteristics of periodic structures are analyzed, and it is found that periodic CSRR rings can support the propagation of SSPP surface waves. The surface plasmon phenomenon of the circular quasi-metasurface is analyzed, and it is verified that the metasurface can excite SSPP under different polarizations. The research results show that the quasi-metasurface can effectively control the propagation direction of electromagnetic waves and improve the Scattering properties. These studies have promoted the development of SSPP, but because SSPP in the microwave band is very new, there are few reports on its application in antennas.

现有微波频段的准表面等离激元结构由于所设计结构自身的非对称性问题而对入射波的极化十分敏感;根据结构的磁谐振特性,其大多只能激励起TM极化的SSPP,且其在天线中的应用往往会带来交叉极化分量的大幅提升和同极化散射的增强,因此很难兼顾天线的辐射和散射特性。The existing quasi-surface plasmon structures in the microwave frequency band are very sensitive to the polarization of the incident wave due to the asymmetry of the designed structure itself; according to the magnetic resonance characteristics of the structure, most of them can only excite TM-polarized SSPP , and its application in antennas often brings about a substantial increase in cross-polarized components and enhanced co-polarized scattering, so it is difficult to take into account the radiation and scattering characteristics of the antenna.

发明内容Contents of the invention

本发明的目的在于提供一种准表面等离激元的超宽带低散射缝隙天线,旨在解决现有微波频段的准表面等离激元结构由于结构自身问题而对入射波的极化十分敏感,大多只能激励起TM极化的SSPP,且其在天线中的应用很难兼顾天线的辐射和散射特性的问题。The purpose of the present invention is to provide a quasi-surface plasmon ultra-wideband low-scattering slot antenna, which aims to solve the problem that the existing quasi-surface plasmon structure in the microwave frequency band is very sensitive to the polarization of the incident wave due to the structure itself , most of them can only excite TM-polarized SSPP, and its application in the antenna is difficult to take into account the radiation and scattering characteristics of the antenna.

本发明是这样实现的,一种准表面等离激元的超宽带低散射缝隙天线,所述准表面等离激元的超宽带低散射缝隙天线的辐射口径为面积相同的圆形结构,圆的半径为r1=68mm;SSPP缝隙天线的介质板厚度为1mm;SSPP缝隙天线的背面馈电处20mm×40mm面积为金属,其中心位置为26mm×2mm的缝隙,其余位置不镀金属,介质板的介电常数为2.65,损耗角正切小于0.001。The present invention is achieved in this way, a quasi-surface plasmon ultra-wideband low-scattering slot antenna, the radiation aperture of the quasi-surface plasmon ultra-wideband low-scattering slot antenna is a circular structure with the same area, and the circle The radius of the SSPP slot antenna is r 1 =68mm; the thickness of the dielectric plate of the SSPP slot antenna is 1mm; the 20mm×40mm area of the back feed of the SSPP slot antenna is metal, and its center is a 26mm×2mm slot, and the rest of the position is not plated with metal, and the dielectric The dielectric constant of the plate is 2.65, and the loss tangent is less than 0.001.

本发明的另一目的在于提供一种所述准表面等离激元的超宽带低散射缝隙天线的设计方法,所述准表面等离激元的超宽带低散射缝隙天线的设计方法利用渐变双边锯齿金属结构设计出激励出SSPP的圆形准超表面,准超表面能够在低频段与电场方向平行的金属结构上激励出SSPP,形成SSPP模式表面波,增强表面波的能量传播;准超表面结构的厚度为1.0mm,金属双边锯齿结构的相关尺寸分别为:r1=68mm,w1=32mm,w2=3.7mm,w3=2mm,P=5mm,α=25deg,金属厚度为0.036mm;介质板的介电常数为2.65,介质板背面无金属层。Another object of the present invention is to provide a design method for the ultra-wideband low-scattering slot antenna of the quasi-surface plasmon. The sawtooth metal structure designs a circular quasi-metasurface that excites SSPP. The quasi-metasurface can excite SSPP on the metal structure parallel to the direction of the electric field in the low frequency band, forming a SSPP mode surface wave, and enhancing the energy propagation of the surface wave; the quasi-metasurface The thickness of the structure is 1.0mm, and the relevant dimensions of the metal bilateral sawtooth structure are: r 1 =68mm, w 1 =32mm, w 2 =3.7mm, w 3 =2mm, P=5mm, α=25deg, and the metal thickness is 0.036 mm; the dielectric constant of the dielectric board is 2.65, and there is no metal layer on the back of the dielectric board.

进一步,所述准表面等离激元的超宽带低散射缝隙天线的设计方法利用金属双边锯齿结构能够激励出准表面等离激元,实现辐射电磁波到SSPP模式的表面波转换,入射电磁波的电场E(x,y,z)为:Further, the design method of the quasi-surface plasmon ultra-wideband low-scattering slot antenna uses a metal double-sided sawtooth structure to excite quasi-surface plasmons to realize the surface wave conversion from radiated electromagnetic waves to SSPP modes, and the electric field of incident electromagnetic waves E(x,y,z) is:

其中,E0为场强幅度,Kz、Kx表示波数在z和x轴方向的分量,电场方向沿着x轴方向;入射到金属上的电场分量为:Among them, E 0 is the magnitude of the field strength, Kz and Kx represent the components of the wave number in the z and x-axis directions, and the electric field direction is along the x-axis direction; the electric field component incident on the metal for:

介质上的电场分量为:The electric field component on the medium for:

kz1和ε1表示双边锯齿结构金属层的波数和介电常数,kz2和ε2表示介质层的波数和介电常数;得到电磁波传到金属层和介质层之间时,其电磁波的衰减长度为:k z1 and ε 1 represent the wave number and permittivity of the metal layer with bilateral sawtooth structure, k z2 and ε 2 represent the wave number and permittivity of the dielectric layer; when the electromagnetic wave passes between the metal layer and the dielectric layer, the attenuation of the electromagnetic wave The length is:

根据连续性边界条件,进一步得到如下色散关系:According to the continuity boundary condition, the following dispersion relation is further obtained:

其中,kx表示沿着x轴方向的电磁波传播系数;对于金属与介质结构,SSPP的折射系数(nSSPP)为:Among them, k x represents the electromagnetic wave propagation coefficient along the x-axis direction; for metal and dielectric structures, the refraction coefficient of SSPP (n SSPP ) is:

其中,ε1和ε2分别为不同介质的介电常数。kx进一步化简为:Among them, ε1 and ε2 are the dielectric constants of different media, respectively. k x further simplifies to:

其中,k0=w/c=2πf/c为自由空间的波数,c为光速。写为:Wherein, k 0 =w/c=2πf/c is the wave number in free space, and c is the speed of light. written as:

双边锯齿金属结构激励的SSPP模的表面波传播系数kx为:The surface wave propagation coefficient k x of the SSPP mode excited by the bilateral sawtooth metal structure is:

当0<k0d<π/2时,kx为一个实数,并且kx>k0When 0<k 0 d<π/2, k x is a real number, and k x >k 0 .

本发明提供的准表面等离激元的超宽带低散射缝隙天线,通过设计超薄圆形的渐变双边锯齿对称结构,激励微波频段的SSPP,深入分析了SSPP模式条件下的表面波传播和散射特性,进而将其用于天线辐射表面,设计了准表面等离激元的超宽带低散射缝隙天线,实现了通过SSPP对天线散射波束方向的调控,改善了天线的散射性能,同时展宽了天线的波束宽度。The quasi-surface plasmon ultra-wideband low-scattering slot antenna provided by the present invention excites the SSPP in the microwave frequency band by designing an ultra-thin circular tapered bilateral sawtooth symmetric structure, and deeply analyzes the surface wave propagation and scattering under the SSPP mode condition characteristics, and then used it on the antenna radiation surface, designed a quasi-surface plasmon ultra-wideband low-scattering slot antenna, realized the regulation of the antenna scattering beam direction through SSPP, improved the antenna's scattering performance, and widened the antenna at the same time beam width.

本发明将渐变双边锯齿结构与圆形对称超表面相结合,提出了一种超薄圆形的SSPP准超表面。该准超表面能激励微波频段的SSPP,深入分析了SSPP模式条件下的表面波传播特性和散射特性,进而将其用于天线辐射表面,实现了准表面等离激元的超宽带低散射缝隙天线,该天线散射波束由于SSPP的影响而受到调控,天线在1GHz~10GHz方位内有明显的RCS减缩效果,MRCS最大减缩量在16.93dB以上,SSPP缝隙天线的相对带宽为9.4%,其频率覆盖5.25GHz~5.77GHz,SSPP天线与传统天线相比,波束宽度至少展宽65°。仿真和测试验证了SSPP缝隙天线能够调控散射波束,改善天线的散射性能,实现超宽带低RCS的特征,同时SSPP可以展宽天线的波束宽度,优化天线辐射性能。The invention combines the gradual bilateral sawtooth structure and the circular symmetrical metasurface, and proposes an ultra-thin circular SSPP quasi-metasurface. The quasi-metasurface can excite the SSPP in the microwave frequency band, deeply analyze the surface wave propagation characteristics and scattering characteristics under the SSPP mode condition, and then apply it to the radiation surface of the antenna, realizing the ultra-wideband low-scattering gap of the quasi-surface plasmon Antenna, the scattering beam of the antenna is regulated due to the influence of SSPP. The antenna has obvious RCS reduction effect in the azimuth of 1GHz to 10GHz. The maximum reduction of MRCS is above 16.93dB. The relative bandwidth of the SSPP slot antenna is 9.4%. Covering 5.25GHz to 5.77GHz, the beam width of the SSPP antenna is at least 65° wider than that of the traditional antenna. Simulations and tests have verified that the SSPP slot antenna can control the scattered beam, improve the antenna's scattering performance, and realize the characteristics of ultra-wideband and low RCS. At the same time, SSPP can widen the antenna's beamwidth and optimize the antenna's radiation performance.

附图说明Description of drawings

图1是本发明实施例提供的基于渐变锯齿结构的极化无关圆形超表面结构示意图;Fig. 1 is a schematic diagram of a polarization-independent circular metasurface structure based on a gradient sawtooth structure provided by an embodiment of the present invention;

图中:(a)渐进双边锯齿结构;(b)基于双边锯齿结构的超表面。In the figure: (a) progressive bilateral sawtooth structure; (b) metasurface based on bilateral sawtooth structure.

图2是本发明实施例提供的色散曲线的仿真模型示意图。Fig. 2 is a schematic diagram of a simulation model of a dispersion curve provided by an embodiment of the present invention.

图3是本发明实施例提供的渐变锯齿结构的色散曲线仿真结果示意图。FIG. 3 is a schematic diagram of a simulation result of a dispersion curve of a gradient sawtooth structure provided by an embodiment of the present invention.

图4是本发明实施例提供的垂直入射时不同极化入射波条件下的超表面电场分布示意图。Fig. 4 is a schematic diagram of the electric field distribution of the metasurface under the condition of different polarized incident waves at normal incidence provided by an embodiment of the present invention.

图5是本发明实施例提供的双边锯齿结构的超表面波导缝隙天线示意图;5 is a schematic diagram of a metasurface waveguide slot antenna with a bilateral sawtooth structure provided by an embodiment of the present invention;

图中:(a)传统金属表面的波导缝隙天线;(b)SSPP缝隙天线。In the figure: (a) waveguide slot antenna on conventional metal surface; (b) SSPP slot antenna.

图6是本发明实施例提供的不同波导缝隙天线的S11仿真结果示意图。Fig. 6 is a schematic diagram of S11 simulation results of different waveguide slot antennas provided by an embodiment of the present invention.

图7是本发明实施例提供的SSPP天线和传统金属表面的波导缝隙天线在5.4GHz和5.65GHz的二维方向图仿真结果示意图;Fig. 7 is a schematic diagram of the simulation results of the two-dimensional pattern of the SSPP antenna provided by the embodiment of the present invention and the waveguide slot antenna on the traditional metal surface at 5.4GHz and 5.65GHz;

图中:(a)5.4GHz辐射方向图的yoz面;(b)5.4GHz辐射方向图的xoz面;(c)5.65GHz辐射方向图的yoz面;(d)5.65GHz辐射方向图的xoz面。In the figure: (a) yoz plane of 5.4GHz radiation pattern; (b) xoz plane of 5.4GHz radiation pattern; (c) yoz plane of 5.65GHz radiation pattern; (d) xoz plane of 5.65GHz radiation pattern .

图8是本发明实施例提供的SSPP天线和传统金属表面的波导缝隙天线在5.4GHz和5.65GHz的三维方向图仿真结果示意图;Fig. 8 is a schematic diagram of the three-dimensional pattern simulation results of the SSPP antenna provided by the embodiment of the present invention and the waveguide slot antenna on the traditional metal surface at 5.4GHz and 5.65GHz;

图中:(a)传统波导缝隙天线;(b)SSPP缝隙天线;(c)传统波导缝隙天线;(d)SSPP缝隙天线。In the figure: (a) traditional waveguide slot antenna; (b) SSPP slot antenna; (c) traditional waveguide slot antenna; (d) SSPP slot antenna.

图9是本发明实施例提供的SSPP天线和传统金属表面的波导缝隙天线5.4GHz的表面电流分布示意图;9 is a schematic diagram of the surface current distribution of the SSPP antenna provided by the embodiment of the present invention and the waveguide slot antenna on the traditional metal surface at 5.4 GHz;

图中:(a)传统天线;(b)超表面天线。In the figure: (a) conventional antenna; (b) metasurface antenna.

图10是本发明实施例提供的不同极化条件下SSPP天线相比于传统天线的单站RCS仿真结果对比示意图;Fig. 10 is a schematic diagram of the comparison of the single-station RCS simulation results of the SSPP antenna under different polarization conditions compared with the traditional antenna provided by the embodiment of the present invention;

图中:(a)TM极化条件下的MRCS仿真对比;(b)TE极化条件下的MRCS仿真对比。In the figure: (a) MRCS simulation comparison under TM polarization conditions; (b) MRCS simulation comparison under TE polarization conditions.

图11是本发明实施例提供的加工的传统波导缝隙天线和SSPP缝隙天线示意图。Fig. 11 is a schematic diagram of processed traditional waveguide slot antennas and SSPP slot antennas provided by an embodiment of the present invention.

图12是本发明实施例提供的不同天线的S11测试结果示意图。Fig. 12 is a schematic diagram of S11 test results of different antennas provided by an embodiment of the present invention.

图13是本发明实施例提供的5.4GHz和5.65GHz传统波导缝隙天线和SSPP缝隙天线的方向图测试结果示意图;Fig. 13 is a schematic diagram of the pattern test results of the 5.4GHz and 5.65GHz traditional waveguide slot antennas and SSPP slot antennas provided by the embodiment of the present invention;

图中:(a)5.4GHz的方向图;(b)5.65GHz的方向图。In the figure: (a) 5.4GHz pattern; (b) 5.65GHz pattern.

图14是本发明实施例提供的不同极化条件下天线MRCS减缩的实测结果示意图。Fig. 14 is a schematic diagram of actual measurement results of antenna MRCS reduction under different polarization conditions provided by an embodiment of the present invention.

具体实施方式detailed description

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

本发明通过设计超薄圆形的渐变双边锯齿对称结构,激励微波频段的SSPP,深入分析了SSPP模式条件下的表面波传播和散射特性,进而将其用于天线辐射表面,控制了天线散射波束方向,展宽了天线的波束宽度,改善了天线的散射和辐射性能,实现了SSPP的超宽带低散射缝隙天线。In the present invention, by designing an ultra-thin circular gradual bilateral sawtooth symmetric structure, exciting the SSPP in the microwave frequency band, deeply analyzing the surface wave propagation and scattering characteristics under the SSPP mode condition, and then applying it to the antenna radiation surface, controlling the antenna scattering beam direction, broaden the beam width of the antenna, improve the scattering and radiation performance of the antenna, and realize the ultra-wideband low-scattering slot antenna of SSPP.

下面结合附图对本发明的应用原理作详细的描述。The application principle of the present invention will be described in detail below in conjunction with the accompanying drawings.

(1)SSPP准超表面(1) SSPP quasi-metasurface

利用渐变双边锯齿金属结构设计出了能够激励出SSPP的圆形准超表面,如图1所示。图1(a)给出了渐变双边锯齿的金属结构,图1(b)为在金属双边锯齿结构的基础上,将其围绕中心旋转形成圆形准超表面。设计的准超表面能够在低频段与电场方向平行的金属结构上激励出SSPP,形成SSPP模式表面波,增强表面波的能量传播;准超表面结构的厚度为1.0mm,金属双边锯齿结构的相关尺寸分别为:r1=68mm,w1=32mm,w2=3.7mm,w3=2mm,P=5mm,α=25deg,金属厚度为0.036mm。介质板的介电常数为2.65,介质板背面无金属层。A circular quasi-metasurface that can excite SSPP is designed by using the gradient bilateral sawtooth metal structure, as shown in Figure 1. Figure 1(a) shows the metal structure of the gradient bilateral sawtooth, and Figure 1(b) shows that on the basis of the metal bilateral sawtooth structure, it is rotated around the center to form a circular quasi-metasurface. The designed quasi-metasurface can excite SSPP on the metal structure parallel to the direction of the electric field in the low frequency band, forming SSPP mode surface waves and enhancing the energy propagation of surface waves; the thickness of the quasi-metasurface structure is 1.0mm, and the correlation The dimensions are: r 1 =68mm, w 1 =32mm, w 2 =3.7mm, w 3 =2mm, P=5mm, α=25deg, and the metal thickness is 0.036mm. The dielectric constant of the dielectric board is 2.65, and there is no metal layer on the back of the dielectric board.

在微波频段,利用金属双边锯齿结构能够激励出准表面等离激元,实现辐射电磁波到SSPP模式的表面波转换。由于圆形结构具有很强的中心对称特征,因此对于TE、TM极化的入射波都能激励起SSPP,引导SSPP表面波的传播。对于图1的准超表面结构,入射电磁波的电场为:In the microwave frequency band, quasi-surface plasmons can be excited by using the metal double-sided sawtooth structure, and the surface wave conversion from radiated electromagnetic waves to SSPP modes can be realized. Since the circular structure has a strong central symmetry feature, the incident wave of TE and TM polarization can excite the SSPP and guide the propagation of the SSPP surface wave. For the quasi-metasurface structure in Figure 1, the electric field of the incident electromagnetic wave is:

其中,电场方向沿着x轴方向。入射到金属上的电场分量为:Wherein, the electric field direction is along the x-axis direction. The electric field component incident on the metal is:

介质上的电场分量为:The electric field components on the medium are:

kz1和ε1表示双边锯齿结构金属层的波数和介电常数,kz2和ε2表示介质层的波数和介电常数。根据公式(2)和(3)可以得到,电磁波传到金属层和介质层之间时,其电磁波的衰减长度为:k z1 and ε 1 represent the wave number and permittivity of the bilateral sawtooth structure metal layer, k z2 and ε 2 represent the wave number and permittivity of the dielectric layer. According to formulas (2) and (3), it can be obtained that when the electromagnetic wave passes between the metal layer and the dielectric layer, the attenuation length of the electromagnetic wave is:

根据连续性边界条件,进一步得到如下色散关系:According to the continuity boundary condition, the following dispersion relation is further obtained:

其中,kx表示沿着x轴方向的电磁波传播系数。对于金属与介质结构,SSPP的折射系数(nSSPP)为:Among them, k x represents the electromagnetic wave propagation coefficient along the x-axis direction. For metal and dielectric structures, the index of refraction (n SSPP ) of SSPP is:

结合公式(5)和(6),kx可以进一步化简为:Combining formulas (5) and (6), k x can be further simplified as:

其中,k0=w/c=2πf/c为自由空间的波数,c为光速。可以写为:Wherein, k 0 =w/c=2πf/c is the wave number in free space, and c is the speed of light. can be written as:

根据公式(9)可知,表示金属锯齿结构和介质的指数衰减关系。对于渐变双边锯齿结构,考虑到TM极化入射波,根据边界条件可以计算得到反射系数。由SSPP模式的表面波条件有kx>k0。若满足条件λ>>(P-w3)和λ>>P,(λ为工作波长),则双边锯齿金属结构激励的SSPP模的表面波传播系数kx为:According to formula (9), we can see that Indicates the exponential decay relationship between the metal sawtooth structure and the medium. For the gradient bilateral sawtooth structure, considering the TM polarized incident wave, the reflection coefficient can be calculated according to the boundary conditions. The condition of surface wave from SSPP mode is k x >k 0 . If the conditions λ>>(Pw 3 ) and λ>>P are satisfied, (λ is the operating wavelength), then the surface wave propagation coefficient k x of the SSPP mode excited by the bilateral sawtooth metal structure is:

由公式(10),当0<k0d<π/2时,kx为一个实数,并且kx>k0,因此激励出的SSPP表面波传播速度低于光速。从公式(10)也能够发现,kx会随着P和d的增大而增大。同时SSPP模的表面波截止频率主要取决于锯齿深度d,即可以通过增加金属锯齿深度来提高所设计准超表面的截止频率。因此,SSPP模式的表面波传播速度低于光速,同时表面波能够禁锢在金属与介质的临界面,沿着锯齿结构向前传播。According to formula (10), when 0<k 0 d<π/2, k x is a real number, and k x >k 0 , so the propagation speed of the excited SSPP surface wave is lower than the speed of light. It can also be found from formula (10) that k x will increase with the increase of P and d. At the same time, the surface wave cutoff frequency of the SSPP mode mainly depends on the sawtooth depth d, that is, the cutoff frequency of the designed quasi-metasurface can be improved by increasing the metal sawtooth depth. Therefore, the propagation speed of the surface wave in the SSPP mode is lower than the speed of light, and the surface wave can be trapped at the critical interface between the metal and the medium, and propagate forward along the sawtooth structure.

利用CST的本征模式,仿真了渐变锯齿结构的色散曲线,仿真模型如图2,仿真得到的色散曲线如图3所示。由图可知,不同锯齿深度d对应着不同的截止频率,当锯齿深度d=4.47mm、8.62mm和12.61mm时,对应截止频率分别为8.07GHz、4.74GHz和2.83GHz;可以看出:随着锯齿深度d的增加,截止频率向低频偏移。当锯齿深度d=4.47mm时,基本模式、一阶模式和二阶模式的截止频率分别为2.83GHz、3.05GHz和3.50GHz;当锯齿深度d=8.62mm时,前三个模式的截止频率分别为4.74GHz、5.49GHz和6.31GHz;当锯齿深度d=12.61mm时,前三个模式的截止频率分别为8.07GHz、9.45GHz和10.86GHz。由此可见,在同一锯齿深度条件下,截止频率随着模式的增大而升高;随着模式的增大,截止频率越来越接近于光速的传播效果。根据设计需要,最终选取了d=12.61mm的金属锯齿结构。Using the eigenmode of CST, the dispersion curve of the gradient sawtooth structure is simulated, the simulation model is shown in Figure 2, and the dispersion curve obtained by simulation is shown in Figure 3. It can be seen from the figure that different sawtooth depths d correspond to different cutoff frequencies. When the sawtooth depth d=4.47mm, 8.62mm and 12.61mm, the corresponding cutoff frequencies are 8.07GHz, 4.74GHz and 2.83GHz respectively; it can be seen that: with As the sawtooth depth d increases, the cutoff frequency shifts toward lower frequencies. When the sawtooth depth d=4.47mm, the cutoff frequencies of the fundamental mode, the first-order mode and the second-order mode are 2.83GHz, 3.05GHz and 3.50GHz respectively; when the sawtooth depth d=8.62mm, the cutoff frequencies of the first three modes are respectively are 4.74GHz, 5.49GHz and 6.31GHz; when the sawtooth depth d=12.61mm, the cutoff frequencies of the first three modes are 8.07GHz, 9.45GHz and 10.86GHz respectively. It can be seen that under the same sawtooth depth condition, the cutoff frequency increases with the increase of the mode; with the increase of the mode, the cutoff frequency is closer to the propagation effect of the speed of light. According to the design requirements, the metal sawtooth structure with d=12.61mm was finally selected.

为了验证微波SSPP模式的表面波特性,分析了1GHz和2GHz的超表面xoy面电场分布,如图4所示。由图中的电场分布仿真结果可知,对于TM极化的入射电磁波,在平行于y轴方向的位置形成了明显的SSPP模式的表面波,而在x轴方向的表面波不明显,其它位置由于锯齿之间的耦合作用,也有明显的表面波传播效果。对于TE极化的入射电磁波,在平行于x轴方向的位置形成了十分明显的SSPP模式表面波,而在y轴方向的表面波不明显,在其余位置的渐变锯齿结构也由于锯齿之间的耦合作用形成了明显的表面波传播。SSPP模式的表面波说明设计的金属渐变锯齿结构能够激励起微波频段的准表面等离激元,且设计的超表面具有极化无关特性;仿真结果也说明了,基于渐变锯齿结构的极化无关圆形超表面能够将垂直入射的电磁波转换成SSPP模式的表面波。In order to verify the surface wave characteristics of the microwave SSPP mode, the electric field distribution on the xoy surface of the metasurface at 1 GHz and 2 GHz was analyzed, as shown in Figure 4. From the simulation results of the electric field distribution in the figure, it can be seen that for the incident electromagnetic wave of TM polarization, the surface wave of the SSPP mode is formed at the position parallel to the y-axis direction, but the surface wave in the x-axis direction is not obvious, and other positions are due to The coupling effect between sawtooth also has obvious surface wave propagation effect. For the TE polarized incident electromagnetic wave, a very obvious SSPP mode surface wave is formed at the position parallel to the x-axis direction, while the surface wave in the y-axis direction is not obvious, and the gradual sawtooth structure at the rest of the position is also due to the gap between the sawtooth The coupling effect forms the apparent surface wave propagation. The surface wave of the SSPP mode shows that the designed metal graded sawtooth structure can excite quasi-surface plasmons in the microwave frequency band, and the designed metasurface has polarization-independent characteristics; the simulation results also show that the polarization-independent structure based on the graded sawtooth structure The circular metasurface can convert the electromagnetic wave of normal incidence into the surface wave of SSPP mode.

(2)准表面等离激元的超宽带低散射缝隙天线(2) Ultra-wideband low-scattering slot antenna for quasi-surface plasmons

设计的SSPP缝隙天线结构如图5所示。天线的辐射口径为面积相同的圆形结构,圆的半径为r1=68mm;SSPP缝隙天线的介质板厚度为1mm,传统波导缝隙天线的口径金属板厚度为1mm。SSPP缝隙天线的背面馈电处20mm×40mm面积为金属,其中心位置为26mm×2mm的缝隙,其余位置不镀金属,介质板的介电常数为2.65,损耗角正切小于0.001。红色箭头标注的是缝隙天线的馈电激励。利用HFSS进行天线辐射和散射性能的仿真分析。The designed SSPP slot antenna structure is shown in Figure 5. The radiation aperture of the antenna is a circular structure with the same area, and the radius of the circle is r 1 =68mm; the thickness of the dielectric plate of the SSPP slot antenna is 1mm, and the thickness of the aperture metal plate of the traditional waveguide slot antenna is 1mm. The 20mm×40mm area of the back feed of the SSPP slot antenna is metal, and its center is a 26mm×2mm slot, and the rest of the position is not plated with metal. The dielectric constant of the dielectric plate is 2.65, and the loss tangent is less than 0.001. The red arrow marks the feeding excitation of the slot antenna. The simulation analysis of antenna radiation and scattering performance is carried out by using HFSS.

天线S参数仿真结果如图6所示,传统天线满足S11<-10dB带宽为5.34~5.86GHz,SSPP缝隙天线满足S11<-10dB的带宽为5.28~5.72GHz,天线工作带宽向低频偏移。图7和8给出了金属天线在5.4GHz和5.65GHz的二维和三维方向图。通过图7的5.4GHz和5.65GHz二维方向图曲线可知,SSPP缝隙天线在5.4GHz和5.65GHz的交叉极化分量相比于传统波导缝隙天线的交叉极化分量略微增大,后向辐射增强,天线的前后比减小。传统天线和SSPP缝隙天线在5.4GHz的xoz面的波束宽度分别为146°和200°,yoz面的波束宽度分别为70°和72°,在5.65GHz的xoz面波束宽度为151°和172°,yoz面波束宽度为58°和105°。从天线三维方向图8可知,SSPP天线的波束与金属表面的波导缝隙天线波束相比有明显拓宽。图9给出了SSPP天线和传统金属表面的波导缝隙天线的表面电流分布,由电流分布密度可以发现:与金属口径的电流密度相比较,沿着水平方向的电流密度明显增强,即通过锯齿结构提高了表面波强度,实现了波束宽度的展宽。The antenna S parameter simulation results are shown in Figure 6. The bandwidth of the traditional antenna satisfying S 11 <-10dB is 5.34-5.86GHz, and the bandwidth of the SSPP slot antenna satisfying S 11 <-10dB is 5.28-5.72GHz. The working bandwidth of the antenna is shifted to low frequency . Figures 7 and 8 show the two-dimensional and three-dimensional pattern of the metal antenna at 5.4GHz and 5.65GHz. From the 5.4GHz and 5.65GHz two-dimensional pattern curves in Figure 7, it can be seen that the cross-polarization components of the SSPP slot antenna at 5.4GHz and 5.65GHz are slightly larger than those of the traditional waveguide slot antenna, and the backward radiation is enhanced , the front-to-back ratio of the antenna decreases. The beamwidths of the traditional antenna and the SSPP slot antenna are 146° and 200° in the xoz plane at 5.4GHz, 70° and 72° in the yoz plane, and 151° and 172° in the xoz plane at 5.65GHz , the yoz surface beamwidths are 58° and 105°. It can be seen from the antenna three-dimensional pattern 8 that the beam of the SSPP antenna is significantly wider than that of the waveguide slot antenna on the metal surface. Figure 9 shows the surface current distribution of the SSPP antenna and the waveguide slot antenna on the traditional metal surface. From the current distribution density, it can be found that compared with the current density of the metal aperture, the current density along the horizontal direction is significantly enhanced, that is, through the sawtooth structure The intensity of the surface wave is improved, and the broadening of the beam width is realized.

传统波导缝隙天线和SSPP准超表面缝隙天线的MRCS结果如图10所示。通过MRCS仿真结果的比对可知:相比较于传统波导缝隙天线,SSPP缝隙天线能够在1GHz~10GHz范围内获得明显的RCS减缩,最大RCS减缩量超过15dB。The MRCS results of the conventional waveguide slot antenna and the SSPP quasi-metasurface slot antenna are shown in Fig. 10. Through the comparison of MRCS simulation results, it can be seen that compared with the traditional waveguide slot antenna, the SSPP slot antenna can obtain obvious RCS reduction in the range of 1GHz to 10GHz, and the maximum RCS reduction exceeds 15dB.

(3)SSPP缝隙天线的实验测试与分析(3) Experimental test and analysis of SSPP slot antenna

加工的传统波导缝隙天线和SSPP缝隙天线如图11所示的,并且将这两款天线放置于微波暗室进行测试。使用的矢量网络分析仪为AgilentN5230C,测试的喇叭天线可工作在1GHz~18GHz频段范围。图12给出了天线的S11测试结果,图13给出了天线5.4GHz、5.65GHz的方向图测试结果。由S11的测试结果可知,传统的波导缝隙天线能够获得5.32GHz~5.83GHz的9.1%相对带宽;SSPP缝隙天线实现了9.4%的相对带宽,其频率覆盖5.25GHz~5.77GHz。The processed traditional waveguide slot antenna and SSPP slot antenna are shown in Figure 11, and these two antennas were placed in a microwave anechoic chamber for testing. The vector network analyzer used is AgilentN5230C, and the tested horn antenna can work in the frequency range of 1GHz to 18GHz. Figure 12 shows the S 11 test results of the antenna, and Figure 13 shows the test results of the antenna's pattern at 5.4GHz and 5.65GHz. According to the test results of S 11 , the traditional waveguide slot antenna can obtain 9.1% relative bandwidth of 5.32GHz-5.83GHz; the SSPP slot antenna achieves 9.4% relative bandwidth, and its frequency covers 5.25GHz-5.77GHz.

两款天线在5.4GHz和5.65GHz的方向图测试结果如图13所示。在5.4GHz传统波导缝隙天线方向图的E面和H面3dB波束宽度分别为132°和66°,在5.65GHz天线方向图的波束宽度为143°和56°;实测的SSPP缝隙天线在5.4GHz和5.65GHz的波束宽度分别为185°、70°和167°、102°,SSPP天线与传统天线相比,波束宽度至少展宽65°。可以看出SSPP缝隙天线波束展宽明显,对比仿真与实测结果,吻合较好。Figure 13 shows the pattern test results of the two antennas at 5.4GHz and 5.65GHz. The 3dB beamwidths of the E plane and H plane of the 5.4GHz traditional waveguide slot antenna pattern are 132° and 66° respectively, and the beamwidths of the 5.65GHz antenna pattern are 143° and 56°; the measured SSPP slot antenna is at 5.4GHz The beamwidths of SSPP and 5.65GHz are 185°, 70° and 167°, 102°, respectively. Compared with traditional antennas, the beamwidth of SSPP antennas is at least 65° wider. It can be seen that the beam broadening of the SSPP slot antenna is obvious, and the comparison between the simulation and the measured results shows a good agreement.

两款天线的MRCS测试结果如图14所示。由图可知,在1GHz~10GHz范围内SSPP天线比传统的波导缝隙天线都具有较明显的MRCS减缩效果,但在2.8GHz~4GHz处的减缩效果稍差一些。x极化天线在2.04GHz的MRCS最大减缩量为16.93dB,y极化天线在1.78GHz的MRCS最大减缩量为23.83dB。在2GHz的RCS减缩主要是由于基于微波频段准表面等离激元的超表面改变了电磁波的散射波束方向而造成的。不同极化下的MRCS减缩效果不完全一致的原因包括两个方面,一是天线缝隙结构为狭长的窄缝隙,二是天线本身具有极化特征。对比图10和图14可知,实测与仿真的一致性较好。The MRCS test results of the two antennas are shown in Figure 14. It can be seen from the figure that the SSPP antenna has a more obvious MRCS reduction effect than the traditional waveguide slot antenna in the range of 1GHz to 10GHz, but the reduction effect at 2.8GHz to 4GHz is slightly worse. The maximum MRCS reduction of the x-polarized antenna at 2.04GHz is 16.93dB, and the maximum MRCS reduction of the y-polarized antenna at 1.78GHz is 23.83dB. The RCS reduction at 2 GHz is mainly due to the metasurface based on quasi-surface plasmons in the microwave band changing the direction of the scattered beam of electromagnetic waves. The reasons why the MRCS reduction effects under different polarizations are not completely consistent include two aspects. One is that the antenna slot structure is a long and narrow slot, and the other is that the antenna itself has polarization characteristics. Comparing Figure 10 and Figure 14, it can be seen that the consistency between the actual measurement and the simulation is good.

以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention should be included in the protection of the present invention. within range.

Claims (3)

1. The ultra-wideband low-scattering slot antenna of the quasi-surface plasmon is characterized in that the radiation caliber of the ultra-wideband low-scattering slot antenna of the quasi-surface plasmon is a circular structure with the same area, and the radius of a circle is r1The dielectric plate of the SSPP slot antenna is 68mm, the thickness of the dielectric plate of the SSPP slot antenna is 1mm, the area of the power feeding position of the back surface of the SSPP slot antenna, which is 20mm × 40mm, is metal, the center position of the slot is 26mm × 2mm, the rest positions are not plated with metal, the dielectric constant of the dielectric plate is 2.65, and the loss tangent is less than 0.001.
2. The design method of the quasi-surface plasmon ultra-wideband low-scattering slot antenna as claimed in claim 1, wherein the design method of the quasi-surface plasmon ultra-wideband low-scattering slot antenna utilizes a graded double-edge sawtooth metal structure to design a circular quasi-super surface for exciting SSPP, and the quasi-super surface can excite SSPP on the metal structure with a low frequency band parallel to the electric field direction to form an SSPP mode surface wave and enhance energy propagation of the surface wave; the thickness of the quasi-super-surface structure is 1.0mm, and the relevant sizes of the metal bilateral sawtooth structure are respectively as follows: r is1=68mm,w1=32mm,w2=3.7mm,w32mm, 5mm, 25deg, 0.036mm metal thickness, 2.65 dielectric constant and no metal layer on the back of the dielectric plate.
3. The method for designing the quasi-surface plasmon ultra-wideband low-scattering slot antenna as claimed in claim 2, wherein the quasi-surface plasmon ultra-wideband low-scattering slot antenna is designed by using a metal double-sided sawtooth structure to excite quasi-surface plasmons, so as to realize surface wave conversion from radiated electromagnetic waves to SSPP modes, and the electric field of the incident electromagnetic waves is:
E ( x , y , z ) = E 0 e i ( k x x - k z | z | - &omega; t ) ;
wherein the direction of the electric field is along the direction of the x axis; the components of the electric field incident on the metal are:
E ( x , y , z ) m e t a l l i c = E x m E y m E z m = E 0 e i ( k x x - k z 1 | z | - &omega; t ) 0 E 0 ( - k x / k z 1 ) e i ( k x x - k z 1 | z | - &omega; t ) ;
the electric field components on the medium are:
E ( x , y , z ) d i e l e c t r i c = E x d E y d E z d = E 0 e i ( k x x - k z 2 | z | - &omega; t ) 0 E 0 ( - &epsiv; 1 k x / &epsiv; 2 k z 1 ) e i ( k x x - k z 2 | z | - &omega; t ) ;
kz1and1representing wave number and dielectric constant, k, of the double-sided sawtooth structure metal layerz2And2represents the wave number and dielectric constant of the dielectric layer; when the electromagnetic wave is transmitted between the metal layer and the dielectric layer, the attenuation length of the electromagnetic wave is as follows:
z ^ = 1 | k z | ;
according to the continuity boundary condition, the following dispersion relation is further obtained:
k x = &omega; c n S S P P ;
k z 1 , 2 2 = &epsiv; 1 , 2 ( &omega; / c ) 2 - k x 2 ;
wherein k isxRepresents an electromagnetic wave propagation coefficient along the x-axis direction; refractive index n of SSPP for metal and dielectric structuresSSPPComprises the following steps:
n s s p p = &epsiv; 1 &epsiv; 2 / ( &epsiv; 1 + &epsiv; 2 ) ;
kxfurther simplifying as follows:
k x = &omega; c &epsiv; 1 &epsiv; 2 / ( &epsiv; 1 + &epsiv; 2 ) = k 0 &epsiv; 1 &epsiv; 2 / ( &epsiv; 1 + &epsiv; 2 ) ;
wherein k is0W/c 2 pi f/c is the wave number in free space, c is the speed of light,write as:
k z 1 , 2 2 = &epsiv; 1 , 2 k 0 2 &lsqb; 1 - ( &epsiv; 1 &epsiv; 2 &epsiv; 1 + &epsiv; 2 ) 2 &rsqb; ;
surface wave propagation coefficient k of SSPP mode excited by bilateral sawtooth metal structurexComprises the following steps:
k x = k 0 1 + ( P - w 3 ) 2 P 2 tan 2 ( k 0 d ) ;
when 0 is present<k0d<At pi/2, kxIs a real number, and kx>k0
CN201611008654.4A 2016-11-16 2016-11-16 Quasi-surface plasmon ultra-wide band low-scattering slot antenna Pending CN106602231A (en)

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