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CN107465000B - Broadband, polarization-insensitive helical encoding RCS reduction metasurface and its design method - Google Patents

Broadband, polarization-insensitive helical encoding RCS reduction metasurface and its design method Download PDF

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CN107465000B
CN107465000B CN201710603567.1A CN201710603567A CN107465000B CN 107465000 B CN107465000 B CN 107465000B CN 201710603567 A CN201710603567 A CN 201710603567A CN 107465000 B CN107465000 B CN 107465000B
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许河秀
王光明
袁方
彭清
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Air Force Engineering University of PLA
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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
    • H01Q15/0013Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices working as frequency-selective reflecting surfaces, e.g. FSS, dichroic plates, surfaces being partly transmissive and reflective
    • 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
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Abstract

本发明属于雷达隐身技术领域,具体为一种超宽带、极化不敏感螺旋编码RCS减缩超表面及其设计方法。所述超表面为二维有限尺寸结构,由8×8个具有不同梯度方向的8种线性超单元按螺旋序列排列而成;8种线性超单元的梯度方向分别为0o、45o、90o、135o、180o、225o、270o和315o,每个线性超单元为二维有限尺寸结构,由6×6个具有不同尺寸的6种人工电磁结构单元按线性梯度构成,均完全覆盖360o,相位梯度为60o;所述螺旋序列为由外而内的单螺旋循环排列方式,所述人工电磁结构单元为一种旋转对称反射结构,由上层内部闭合环和外部耶路撒冷金属结构、中层介质板和底层金属铜板组成。本发明RCS减缩超表面具有厚度薄、鲁棒性好、超宽带工作、易加工等优异特性。

Figure 201710603567

The invention belongs to the technical field of radar stealth, in particular to an ultra-wideband, polarization-insensitive spiral coding RCS reduction metasurface and a design method thereof. The metasurface is a two-dimensional finite-size structure, composed of 8×8 8 linear superunits with different gradient directions arranged in a helical sequence; the gradient directions of the 8 linear superunits are 0 o , 45 o , and 90 o , respectively. o , 135 o , 180 o , 225 o , 270 o , and 315 o , each linear superunit is a two-dimensional finite-size structure, which is composed of 6 × 6 artificial electromagnetic structural units with different sizes according to linear gradients. It completely covers 360 ° , and the phase gradient is 60 ° ; the helical sequence is a single-helix cyclic arrangement from outside to inside, and the artificial electromagnetic structural unit is a rotationally symmetrical reflective structure, which consists of an upper inner closed loop and an outer Jerusalem metal It consists of a structure, a middle layer dielectric plate and a bottom metal copper plate. The RCS reduction metasurface of the invention has excellent characteristics such as thin thickness, good robustness, ultra-wideband operation, easy processing and the like.

Figure 201710603567

Description

宽带、极化不敏感螺旋编码RCS减缩超表面及其设计方法Broadband, polarization-insensitive helical encoding RCS reduction metasurface and its design method

技术领域technical field

本发明属于雷达隐身技术领域,具体涉及一种基于单螺旋循环编码排列和线性相位梯度的超宽带、极化不敏感RCS减缩超表面及其设计方法。The invention belongs to the technical field of radar stealth, and in particular relates to an ultra-wideband, polarization-insensitive RCS reduction metasurface based on a single-spiral cyclic coding arrangement and a linear phase gradient and a design method thereof.

背景技术Background technique

随着雷达探测技术的快速发展,隐身特性逐渐成为衡量飞行目标性能优劣的重要指标。雷达对目标的探测主要取决于被探测对象的雷达散射截面(RCS),因此,缩小RCS成为实现隐身最重要的手段。传统的隐身技术主要通过改变飞行目标外形和涂覆雷达吸波材料(RAM)实现RCS的缩减,如B-2轰炸机,除了通过其扁平的外形设计实现雷达探测隐身外,在机体表面还涂覆4层RAM,以实现RCS缩减最大化,类似方式实现雷达隐身的还有F-22猛禽战机。但由于快速飞行目标的空气动力学因素限制,通过外形设计实现RCS缩减会引起目标机动性急剧下降,同时多层涂覆RAM会增加目标重量和厚度,另外能适用多波段的高吸收率RAM比较昂贵,使得其在目标隐身应用中的代价很高。有关资料表明,B-2和F-22每飞行一次需更换RAM,每次更换需35小时,成本花费高昂。鉴于外形和RAM隐身存在的诸多缺陷,研究人员开始探索更为经济有效的方法手段来实现目标隐身。With the rapid development of radar detection technology, stealth characteristics have gradually become an important indicator to measure the performance of flying targets. The detection of the target by radar mainly depends on the radar cross section (RCS) of the detected object. Therefore, reducing the RCS becomes the most important means to achieve stealth. The traditional stealth technology mainly realizes the reduction of RCS by changing the shape of the flying target and coating the radar absorbing material (RAM). 4 layers of RAM to maximize RCS reduction, similar to the F-22 Raptor for radar stealth. However, due to the limitation of aerodynamic factors of fast-flying targets, the reduction of RCS through shape design will cause a sharp drop in target maneuverability. At the same time, multi-layer coating of RAM will increase the weight and thickness of the target. In addition, it can be applied to multi-band high absorption rate RAM comparison. Expensive, making it expensive in targeted stealth applications. Relevant information shows that the B-2 and F-22 need to replace the RAM every time they fly, and each replacement takes 35 hours, which is expensive. Given the many deficiencies in form factor and RAM stealth, researchers began to explore more cost-effective ways to achieve target stealth.

超表面是由亚波长人工电磁结构按照一定排列方式构成,具有强大电磁波调控能力的新型人工复合结构,其作为一种新兴技术,有望能解决上述隐身方案中存在的缺陷,同时作为超材料的二维平面情形,可望与飞机、导弹等一些高速飞行目标共形,在军事、航天、通信系统中具有广阔应用前景。由于超表面的优异特性和强大电磁调控能力,其在目标电磁隐身中的潜在应用被逐渐发掘出来,并取得阶段性进展。2007年,棋盘结构的人工磁导体(AMC)超表面首次被应用于RCS缩减领域,虽然其窄带特性、极化敏感性以及特定区域(后向)RCS减缩限制了它的实际应用,但该方法极大激发了人们对宽带、极化不敏感、大角度入射和双站RCS减缩的研究热潮,期望有朝一日这一技术能够真正用到实际中去,成为代替传统RAM的新型隐身材料。Metasurface is a new type of artificial composite structure composed of subwavelength artificial electromagnetic structures arranged in a certain way and has strong electromagnetic wave regulation ability. As an emerging technology, it is expected to solve the above-mentioned defects in stealth schemes. It is expected to be conformal to some high-speed flying targets such as aircraft and missiles, and has broad application prospects in military, aerospace, and communication systems. Due to the excellent properties of metasurfaces and strong electromagnetic control capabilities, their potential applications in target electromagnetic stealth have been gradually discovered, and staged progress has been made. In 2007, a checkerboard-structured artificial magnetic conductor (AMC) metasurface was first applied in the field of RCS reduction, although its narrow-band properties, polarization sensitivity, and region-specific (backward) RCS reduction limit its practical application, the method It has greatly stimulated the research upsurge of broadband, polarization insensitivity, large-angle incidence and dual-station RCS reduction. It is hoped that this technology can be used in practice one day and become a new stealth material to replace traditional RAM.

本发明公布了一种基于单螺旋循环编码排列和线性相位梯度的超宽带RCS减缩超表面及其设计方法,该方法简单高效,解决了现有RCS减缩超表面设计需要大量优化而引起的耗时耗力问题,同时具有大角度入射、极化不敏感等优异性能,在雷达电磁隐身领域具有重要潜在应用前景。The invention discloses an ultra-wideband RCS reduced metasurface based on a single helical cyclic coding arrangement and a linear phase gradient and a design method thereof. The method is simple and efficient, and solves the time-consuming caused by the need for a large number of optimizations in the existing RCS reduced metasurface design. At the same time, it has excellent performances such as large angle incidence and polarization insensitivity, and has important potential application prospects in the field of radar electromagnetic stealth.

发明内容SUMMARY OF THE INVENTION

本发明目的在于提出一种具有极化不敏感和大角度入射的超宽带RCS减缩超表面及其设计方法。The purpose of the present invention is to propose an ultra-broadband RCS reduction metasurface with polarization insensitivity and large angle incidence and a design method thereof.

本发明提出的极化不敏感、大角度入射超宽带RCS减缩超表面集螺旋编码技术、线性相位梯度超表面和多模级联于一体的全新隐身器件。如图1所示,超宽带、极化不敏感螺旋编码RCS减缩超表面为二维有限尺寸结构,由8×8个具有不同梯度方向的8种线性超单元(模块)按螺旋序列排列而成;所述8种线性超单元的梯度方向分别为0°、45°、90°、135°、180°、225°、270°和315°,依次编号为1、2、3、4、5、6、7和8,每个线性超单元为二维有限尺寸结构,由6×6个具有不同尺寸的6种人工电磁结构单元按线性梯度构成,均完全覆盖360°,相位梯度为60°;所述螺旋序列为由外而内的单螺旋循环排列方式,即1234567812345678……,数字编号代表对应梯度方向的线性超单元;所述人工电磁结构单元为一种旋转对称反射结构,由上层内部闭合环(谐振环)和外部耶路撒冷金属结构、中层介质板和底层金属铜板组成(见图2所示)。The polarization-insensitive, large-angle incident ultra-wideband RCS reduction metasurface proposed by the present invention integrates helical coding technology, linear phase gradient metasurface and multi-mode cascading into a whole new stealth device. As shown in Fig. 1, the ultra-wideband, polarization-insensitive helical encoding RCS reduced metasurface is a two-dimensional finite-size structure composed of 8 × 8 linear superunits (modules) with different gradient directions arranged in a helical sequence ; The gradient directions of the 8 kinds of linear superunits are respectively 0°, 45°, 90°, 135°, 180°, 225°, 270° and 315°, and are sequentially numbered as 1, 2, 3, 4, 5, 6, 7 and 8, each linear superunit is a two-dimensional finite-size structure, which is composed of 6×6 6 artificial electromagnetic structural units with different sizes according to a linear gradient, all of which completely cover 360°, and the phase gradient is 60°; The helical sequence is a single-helix cyclic arrangement from the outside to the inside, namely 1234567812345678..., the number number represents the linear superunit corresponding to the gradient direction; the artificial electromagnetic structural unit is a rotationally symmetrical reflection structure, which is closed by the upper interior The ring (resonant ring) consists of the outer Jerusalem metal structure, the middle dielectric plate and the bottom metal copper plate (see Figure 2).

记人工电磁结构单元的大小尺寸为a,所述上层金属结构中,内部谐振环和外部耶路撒冷结构的金属条宽度为d,谐振环的大小尺寸为a/2,介质板厚度为b,底层金属铜板厚度为c;单元周期为p。Denote the size of the artificial electromagnetic structure unit as a, in the upper metal structure, the width of the metal strips of the inner resonant ring and the outer Jerusalem structure is d, the size of the resonant ring is a/2, the thickness of the dielectric plate is b, and the bottom metal The copper plate thickness is c; the unit period is p.

下面具体给出本发明极化不敏感螺旋编码RCS减缩超表面的设计方法步骤,主要有以下三步设计流程。The design method and steps of the polarization-insensitive helical encoding RCS reduction metasurface of the present invention are specifically given below, and the design flow mainly includes the following three steps.

第一步:宽带、极化不敏感、亚波长超表面单元设计:Step 1: Broadband, polarization-insensitive, subwavelength metasurface element design:

宽带、极化不敏感RCS减缩超表面设计,首要问题是设计具有宽频工作和极化不敏感特性的超表面单元,其基本理论依据是由系列单元构成超表面的群集响应会继承单元的宽带、极化不敏感特性。根据极化转化相关领域知识,要想获得极化不敏感特性,单元必须具有四周旋转对称特性。同时为获得宽频特性,单元反射幅度必须近1,相位响应在很宽频率范围内具有线性度好、品质因数低等优异特性。Broadband, polarization-insensitive RCS reduction metasurface design, the primary problem is to design a metasurface element with broadband operation and polarization-insensitive characteristics. Polarization insensitive properties. According to the knowledge in the field of polarization transformation, in order to obtain polarization insensitivity, the element must have the characteristic of rotational symmetry around it. At the same time, in order to obtain broadband characteristics, the unit reflection amplitude must be close to 1, and the phase response has excellent linearity and low quality factor in a wide frequency range.

根据上述分析,我们发明了一种由内部矩形谐振环和外部耶路撒冷十字金属结构组成的多模反射单元结构,如图2所示。整个单元由上层金属结构、中层介质板和底层金属地板组成,通过上层金属结构和地板的耦合提供谐振于不同频率的多个磁谐振模式,利用多模级联思想打开单元在边缘频率处的相位,提高单元相位的线性度和随结构参数的相位变化范围(覆盖大于360°),从而最终达到拓展单元工作带宽的目的。同时由于单元具有旋转对称特性,不同极化电磁波照射到超表面时会产生相似散射频谱,单元电磁散射响应对x、y线极化波具有极化不敏感性。Based on the above analysis, we invented a multi-mode reflective unit structure composed of an inner rectangular resonator ring and an outer Jerusalem cross metal structure, as shown in Fig. 2. The whole unit is composed of an upper metal structure, a middle dielectric plate and a bottom metal floor. Multiple magnetic resonance modes resonating at different frequencies are provided through the coupling of the upper metal structure and the floor, and the phase of the unit at the edge frequency is opened by using the idea of multi-mode cascade. , to improve the linearity of the unit phase and the phase variation range with the structural parameters (covering more than 360°), so as to finally achieve the purpose of expanding the working bandwidth of the unit. At the same time, due to the rotational symmetry of the unit, similar scattering spectra will be generated when electromagnetic waves of different polarizations irradiate the metasurface, and the electromagnetic scattering response of the unit is polarization-insensitive to x and y linearly polarized waves.

为使单元相位特性达到最宽,利用商业仿真软件CST对单元结构参数进行优化,使得各谐振模式合理级联。最终单元周期为p=6mm,介质板为厚度为2mm、相对介电常数4.3、电损耗正切0.001的环氧玻璃布板,谐振环和耶路撒冷结构的宽度为d=0.2mm。底层金属铜板厚度可为0.036mm。通过改变整个金属结构尺寸a而保持其他参数不变来获得各单元所需相位梯度。最终超单元由6种不同尺寸a的单元组成,相位梯度设计在f0=15GHz处,相位梯度为60°,6种单元对应的相位分别为0°、60°、120°、180°、240°和300°,达到了0°到360°相位覆盖。通过合理选取6种单元的尺寸a,使得各单元的相位特性曲线在f0附近很宽的带宽范围内具有完美的平行度,如图3所示。最终确定的6种不同单元的结构尺寸a分别为4.62mm、3.95mm、3.36mm、3.04mm、2.78mm和2.3mm。In order to maximize the phase characteristics of the unit, the commercial simulation software CST is used to optimize the structural parameters of the unit, so that each resonance mode is reasonably cascaded. The final unit period is p=6mm, the dielectric plate is an epoxy glass cloth plate with a thickness of 2mm, a relative permittivity of 4.3, and an electrical loss tangent of 0.001. The width of the resonant ring and the Jerusalem structure is d=0.2mm. The thickness of the underlying metal copper plate may be 0.036mm. The required phase gradient of each unit can be obtained by changing the size a of the entire metal structure while keeping other parameters unchanged. The final superunit is composed of 6 units of different sizes a, the phase gradient is designed at f 0 =15GHz, the phase gradient is 60°, and the phases corresponding to the 6 units are 0°, 60°, 120°, 180°, 240°, respectively. ° and 300°, reaching 0° to 360° phase coverage. By reasonably selecting the size a of the six units, the phase characteristic curve of each unit has perfect parallelism in a wide bandwidth range near f0 , as shown in Figure 3. The final structural dimensions a of the six different units are 4.62mm, 3.95mm, 3.36mm, 3.04mm, 2.78mm and 2.3mm, respectively.

第二步:基于广义Snell反射定律的8种超单元设计:The second step: 8 kinds of supercell designs based on the generalized Snell reflection law:

θi=0°时广义Snell反射定律如图4所示,根据广义Snell反射定律,当入射波以角度θi入射到超表面时反射主波束的俯仰角θr和方位角

Figure BDA0001357776730000031
由下式决定:The generalized Snell reflection law when θ i = 0° is shown in Fig. 4. According to the generalized Snell reflection law, when the incident wave is incident on the metasurface at angle θ i , the pitch angle θ r and azimuth angle of the reflected main beam are
Figure BDA0001357776730000031
It is determined by the following formula:

Figure BDA0001357776730000032
Figure BDA0001357776730000032

Figure BDA0001357776730000033
Figure BDA0001357776730000033

其中,

Figure BDA0001357776730000034
是入射电磁波在真空中的波失,
Figure BDA0001357776730000035
分别为二维平面上x、y方向的相位梯度,
Figure BDA0001357776730000036
分别为x、y方向上相邻单元之间的相位差,p为单元周期。上式表明通过合理设计x、y方向上的相位梯度,可以任意操控超表面的梯度波矢ka。而异常反射波矢kr是镜反射波矢kr0与梯度波矢ka的合成,因此通过操控ka可以进一步任意操控反射波束的偏折方向(波束指向)。in,
Figure BDA0001357776730000034
is the wave loss of the incident electromagnetic wave in vacuum,
Figure BDA0001357776730000035
are the phase gradients in the x and y directions on the two-dimensional plane, respectively,
Figure BDA0001357776730000036
are the phase differences between adjacent cells in the x and y directions, respectively, and p is the cell period. The above formula shows that by reasonably designing the phase gradients in the x and y directions, the gradient wave vector ka of the metasurface can be manipulated arbitrarily. The abnormal reflection wave vector k r is the synthesis of the mirror reflection wave vector k r0 and the gradient wave vector ka, so the deflection direction (beam pointing) of the reflected beam can be further arbitrarily controlled by manipulating ka .

根据上述理论分析,分别设计了一维梯度超单元和二维梯度超单元。如图5所示,一维梯度超单元中,相位梯度仅存在于x方向且

Figure BDA0001357776730000037
为60°,y方向
Figure BDA0001357776730000038
为0°。此时梯度方向为x方向;二维梯度超单元中,相位梯度同时存在于x、y方向,且
Figure BDA0001357776730000039
Figure BDA00013577767300000310
均为60°。此时梯度方向为
Figure BDA00013577767300000311
方向。如图6所示,通过对上述一维、二维超单元分别进行90°、180°和270°旋转,可以生成另外6种梯度方向不同的超单元,最终获得的8种超单元梯度方向分别为
Figure BDA00013577767300000312
45°,90°,135°,180°,225°,270°和315°,依次编号为1、2、3、4、5、6、7和8,达到了梯度方向在二维平面内的360°覆盖。According to the above theoretical analysis, a one-dimensional gradient supercell and a two-dimensional gradient supercell are designed respectively. As shown in Figure 5, in a one-dimensional gradient supercell, the phase gradient exists only in the x direction and
Figure BDA0001357776730000037
is 60°, y direction
Figure BDA0001357776730000038
is 0°. At this time, the gradient direction is the x direction; in the two-dimensional gradient superunit, the phase gradient exists in both the x and y directions, and
Figure BDA0001357776730000039
and
Figure BDA00013577767300000310
Both are 60°. At this time, the gradient direction is
Figure BDA00013577767300000311
direction. As shown in Figure 6, by rotating the above one-dimensional and two-dimensional superunits by 90°, 180°, and 270°, respectively, six other superunits with different gradient directions can be generated, and the final eight superunit gradient directions are obtained respectively. for
Figure BDA00013577767300000312
45°, 90°, 135°, 180°, 225°, 270° and 315°, numbered 1, 2, 3, 4, 5, 6, 7, and 8 in turn, to achieve the gradient direction in the two-dimensional plane. 360° coverage.

第三步:宽带、极化不敏感螺旋编码RCS减缩超表面的建模设计:Step 3: Modeling and design of broadband, polarization-insensitive helical encoding RCS reduction metasurfaces:

基于第一步的超表面单元设计和第二步的8种超单元设计,第三步则是如何合理利用8种超单元构建RCS减缩超表面。Based on the metasurface element design in the first step and the 8 types of superelement designs in the second step, the third step is how to reasonably utilize the 8 types of superelements to construct the RCS reduced metasurface.

首先需要确定超表面的尺寸,也即超单元的数量。这里为便于设计,超表面采用方形布局,即x、y方向的超单元数量L和M相同。综合衡量计算时间、样品制作成本与超表面有限尺寸对RCS减缩特性的影响,这里超表面中超单元的数量为L×M=8×8,尺寸为288×288mm2First, the size of the metasurface, that is, the number of superunits, needs to be determined. Here, for the convenience of design, the metasurface adopts a square layout, that is, the number of supercells L and M in the x and y directions are the same. The effects of computing time, sample fabrication cost and the finite size of the metasurface on the reduction characteristics of RCS are comprehensively measured. Here, the number of superunits in the metasurface is L×M=8×8, and the size is 288×288mm 2 ;

其次确定编码序列,即8种超单元的排列方式。为最大程度上打散入射电磁波,减小目标在各给角度上的散射强度从而降低双站RCS检测下的雷达发现几率,超表面中任意相邻超单元的梯度方向各异。基于这种考虑,本发明设计了一种由外而内的单螺旋循环排列方式:1234567812345678……,具体见图7所示,即:12345678-1234567-8123456-781234-567812-34567-81234-5678-1234-567-812-34-56-7-8。其中,“-”表示螺旋转折处,数字代表对应梯度方向的不同超单元,与图6中数字序列对应。最终螺旋编码RCS减缩超表面的梯度方向分布如图8所示,箭头代表超单元的梯度方向,通过这种排列方式设计的超表面保证了任意相邻超单元梯度方向各异,从而可以最大限度破坏超表面一致散射的等相位面,达到最大限度打散电磁波的目的。Secondly, determine the coding sequence, that is, the arrangement of the 8 superunits. In order to disperse the incident electromagnetic waves to the greatest extent, reduce the scattering intensity of the target at each given angle, and thus reduce the radar detection probability under the double-station RCS detection, the gradient directions of any adjacent supercells in the metasurface are different. Based on this consideration, the present invention designs a single helix cyclic arrangement from the outside to the inside: 1234567812345678..., as shown in Figure 7, namely: 12345678-1234567-8123456-781234-567812-34567-81234-5678 -1234-567-812-34-56-7-8. Among them, "-" represents the turning point of the helix, and the numbers represent different superunits corresponding to the gradient directions, corresponding to the number sequence in Figure 6. The gradient direction distribution of the final spiral-encoded RCS reduced metasurface is shown in Figure 8. The arrows represent the gradient directions of the superunits. The metasurface designed by this arrangement ensures that the gradient directions of any adjacent superunits are different, so that the maximum possible Destroy the iso-phase surface of the uniform scattering of the metasurface to achieve the purpose of dispersing electromagnetic waves to the maximum extent.

最后根据超单元和超单元单螺旋循环排列方式并通过寻根算法,在CST中利用VBA宏建立螺旋编码超表面结构。Finally, according to the cyclic arrangement of superunits and single helixes of superunits and through the root-seeking algorithm, the helical-encoded metasurface structure is established by using VBA macros in CST.

不同于以往基于奇异波束偏折和表面波转化的RCS减缩方法,本发明RCS减缩超表面首次提出基于多种线性相位梯度超单元的螺旋编码来解决双站RCS检测下的电磁隐身问题,使得入射电磁波入射到超表面后能在各个方向上将电磁散射能量均匀打散在各个方向上;同时利用旋转对称单元实现RCS减缩超表面的极化不敏感性问题,使得RCS减缩特性不随入射波极化变化而改变,可以是不同极化角的线极化波;最后本发明通过多模级联来实现RCS减缩超表面的超宽带工作。本发明超宽带、极化不敏感RCS减缩特性无需优化,具有鲁棒性好、易加工和厚度薄等优异特性。Different from the previous RCS reduction methods based on singular beam deflection and surface wave conversion, the RCS reduction metasurface of the present invention proposes for the first time a helical coding based on multiple linear phase gradient superunits to solve the electromagnetic stealth problem under double-station RCS detection, making the incident After the electromagnetic wave is incident on the metasurface, the electromagnetic scattering energy can be uniformly dispersed in all directions in all directions; at the same time, the polarization insensitivity problem of the RCS reduction metasurface is realized by using the rotational symmetry element, so that the RCS reduction characteristic does not change with the polarization of the incident wave. The change can be linearly polarized waves with different polarization angles; finally, the invention realizes the ultra-broadband operation of the RCS reduced metasurface through multi-mode cascading. The ultra-broadband and polarization-insensitive RCS reduction characteristics of the invention do not need to be optimized, and have excellent characteristics such as good robustness, easy processing and thin thickness.

附图说明Description of drawings

图1为单螺旋循环编码超表面结构图。Figure 1 is a structural diagram of a single-helix loop encoding metasurface.

图2为多模谐振级联超表面单元结构图。Figure 2 is a structural diagram of a multi-mode resonant cascaded metasurface unit.

图3为不同尺寸a下超表面单元的反射相位频谱图。Figure 3 is the reflection phase spectrum of the metasurface unit with different sizes a.

图4为电磁波垂直入射时广义Snell反射定律示意图。Figure 4 is a schematic diagram of the generalized Snell reflection law when electromagnetic waves are vertically incident.

图5为双谐振单元构成的(a)一维线性相位梯度超单元和(b)二维线性相位梯度超单元。Figure 5 shows (a) a one-dimensional linear phase gradient superunit and (b) a two-dimensional linear phase gradient superunit composed of dual resonant units.

图6为由2种线性相位梯度超单元通过旋转生成的8种不同梯度方向超单元。Figure 6 shows 8 different gradient orientation superunits generated by rotation of 2 linear phase gradient superunits.

图7为单螺旋循环编码超表面的序列编码图。Figure 7 is a sequence coding diagram of a single helix loop coding metasurface.

图8为单螺旋循环编码超表面中各超单元的梯度方向图。Figure 8 is a graph of the gradient patterns of each superunit in a single helical loop encoding metasurface.

图9为线性相位梯度超表面中各超单元的梯度方向图。FIG. 9 is a gradient pattern of each supercell in a linear phase gradient metasurface.

图10为x、y极化电磁波照射下单螺旋循环编码超表面的RCS频谱曲线图。Figure 10 is a graph of the RCS spectrum of a single helical cyclic encoding metasurface irradiated by x- and y-polarized electromagnetic waves.

图11为金属平板、线性相位梯度和单螺旋循环编码超表面在垂直入射情形下15.2、18.2和22GHz的三维散射方向图。Figure 11 shows the three-dimensional scattering patterns of the metal plate, linear phase gradient and single helical cyclic encoding metasurface at normal incidence at 15.2, 18.2 and 22 GHz.

图12为垂直入射下(b,d)单螺旋循环编码超表面和(a,c)线性相位梯度超表面的(a,b)近场分布和(c,d)表面电流分布。Figure 12 shows (a, b) near-field distributions and (c, d) surface current distributions of (b, d) single-spiral loop-encoding metasurfaces and (a, c) linear phase gradient metasurfaces under normal incidence.

图13为不同角度斜入射时螺旋编码超表面的仿真、测试后向RCS减缩频谱图。Fig. 13 is the simulated and post-test RCS reduction spectrograms of the helical encoding metasurface under oblique incidence at different angles.

图14为

Figure BDA0001357776730000051
面内金属平板、线性相位梯度和单螺旋循环编码超表面的双站RCS分布图。Figure 14 is
Figure BDA0001357776730000051
Two-station RCS distributions of in-plane metallic slabs, linear phase gradients, and single-helix loop-encoding metasurfaces.

图15为

Figure BDA0001357776730000052
面内金属平板、线性相位梯度和单螺旋循环编码超表面的双站RCS分布图。Figure 15 is
Figure BDA0001357776730000052
Two-station RCS distributions of in-plane metallic slabs, linear phase gradients, and single-helix loop-encoding metasurfaces.

具体实施方式Detailed ways

根据前面建立的单螺旋循环编码超表面设计方法,我们可以快速自动化设计具有任意尺寸的螺旋编码超表面。下面以8×8个超单元通过单螺旋循环编码构成的超表面为例,介绍设计过程,设计结果,并对结果进行分析。为揭示本发明方法的优越性,将其结果与不采用螺旋编码的常规线性相位梯度超表面的散射特性进行对比,线性相位梯度超表面中各超单元的梯度方向如图9所示。为公平比较,两种情形下超表面尺寸、介质板规格以及实验条件完全相同。According to the previously established single-helix loop-encoded metasurface design method, we can rapidly and automatically design helical-encoded metasurfaces with arbitrary dimensions. In the following, the design process, design results, and analysis of the results are introduced by taking a metasurface composed of 8 × 8 superunits through single helical cyclic coding as an example. In order to reveal the superiority of the method of the present invention, the results are compared with the scattering properties of conventional linear phase gradient metasurfaces without helical encoding. The gradient directions of each superunit in the linear phase gradient metasurface are shown in Fig. For a fair comparison, the metasurface dimensions, dielectric plate specifications, and experimental conditions are identical in both cases.

设计制作中,介质板采用环氧玻璃布板,其介电常数εr=4.3,电正切损耗tanσ=0.001,金属铜箔厚度0.036mm,介质板厚度为h=2mm,单元周期为p=6mm,构成线性梯度超单元的6种单元几何结构参数分别为:a=4.62mm,3.95mm,3.36mm,3.04mm,2.78mm,2.30mm。In the design and production, the dielectric board adopts epoxy glass cloth board, its dielectric constant ε r = 4.3, the electric tangent loss tanσ = 0.001, the thickness of metal copper foil is 0.036mm, the thickness of the dielectric board is h = 2mm, and the unit period is p = 6mm , the geometric parameters of the six units constituting the linear gradient superunit are: a=4.62mm, 3.95mm, 3.36mm, 3.04mm, 2.78mm, 2.30mm.

超表面单元的工作原理:当电磁波垂直入射时,y、x极化电场作用下会在平行于极化方向上的金属细贴片上产生感应电流,而金属背板与上层结构的耦合作用使得金属背板产生反向电流,介质板中产生位移电流,感应电流和位移电流最终形成闭合回路并产生磁谐振。而上层金属结构的多个模式会在不同频率处产生不同的局域磁谐振回路。由于单元具有旋转对称性,因此y、x两种极化下具有完全相同的电磁响应。The working principle of the metasurface unit: when the electromagnetic wave is incident vertically, induced current will be generated on the thin metal patch parallel to the polarization direction under the action of the y and x polarized electric fields, and the coupling between the metal backplane and the superstructure makes the The metal backplane generates a reverse current, and a displacement current is generated in the dielectric plate. The induced current and the displacement current eventually form a closed loop and generate magnetic resonance. The multiple modes of the upper metal structure will generate different localized magnetic resonance circuits at different frequencies. Due to the rotational symmetry of the unit, the y and x polarizations have exactly the same electromagnetic response.

超表面漫反射原理:一方面,8种超单元的偏折方向各异,当平面波垂直照射到由这些相位梯度超单元构成的超表面上时,根据广义Snell反射定律,反射波会被这些不同偏折方向的超单元打散:另一方面,螺旋编码使得相邻超单元的偏折方向各异,这种非周期性的排列方式可以使反射波进一步打散,从而实现散射特性以及RCS缩减功能,同时螺旋编码使得超单元的排列方式有章可循,是确定的,无需优化。The principle of metasurface diffuse reflection: On the one hand, the deflection directions of the eight superunits are different. When a plane wave is vertically irradiated on the metasurface composed of these phase gradient superunits, according to the generalized Snell reflection law, the reflected wave will be reflected by these different Dispersion of superunits in the deflection direction: On the other hand, the helical coding makes the deflection directions of adjacent superunits different. This aperiodic arrangement can further disperse the reflected waves, thereby achieving scattering characteristics and RCS reduction. function, while helical coding makes the arrangement of superunits rule-based, deterministic, and does not require optimization.

通过优化调整单元的金属结构参数可以控制y、x极化下各谐振模式的频谱位置从而调谐整个单元的反射相位,获得360°相位覆盖、最佳线性度和宽带相位响应。By optimizing and adjusting the metal structure parameters of the unit, the spectral position of each resonance mode under y and x polarization can be controlled to tune the reflection phase of the entire unit, and obtain 360° phase coverage, optimal linearity and broadband phase response.

为验证本发明单螺旋循环编码超表面的宽带散射特性,采用商业仿真软件CSTMicrowave Studio对超表面的散射频谱进行电磁仿真,其中沿x、y、z方向的6个边界均采用开放边界条件,平面波沿z方向垂直入射,分别使用x、y极化的线极化波进行垂直照射。In order to verify the broadband scattering characteristics of the single helical cyclic coding metasurface of the present invention, the commercial simulation software CSTMicrowave Studio was used to conduct electromagnetic simulation on the scattering spectrum of the metasurface, wherein the six boundaries along the x, y, and z directions were all open boundary conditions, plane wave Vertically incident along the z-direction, and vertically irradiated with linearly polarized waves polarized in x and y, respectively.

实施例:尺寸为288×288mm2的单螺旋循环编码超表面的超宽带RCS减缩结果Example: Ultra-wideband RCS reduction results for a single helical loop-encoded metasurface of size 288 × 288 mm2

下面对上式设计的超表面RCS减缩结果进行说明和验证。分别采用x、y极化波对超表面进行照射,得到结果如图10所示。可以看出,无论是x极化波还是y极化波激励,单螺旋循环编码超表面均能很好地降低后向RCS,具有几乎完全相同的散射频谱响应,验证了本发明超表面的极化不敏感特性。同时,RCS减缩频谱结果显示单螺旋循环编码超表面在13-23GHz范围内具有优异的RCS缩减特性,RCS减缩值均超过10dB。In the following, the reduction results of the metasurface RCS designed by the above formula are explained and verified. The metasurface was irradiated with x- and y-polarized waves, respectively, and the results are shown in Figure 10. It can be seen that, whether excited by x-polarized wave or y-polarized wave, the single-spiral cyclic coding metasurface can reduce the backward RCS well, and has almost the same scattering spectral response, which verifies the polarities of the metasurface of the present invention. Insensitive characteristics. At the same time, the RCS reduction spectrum results show that the single-spiral cyclic encoding metasurface has excellent RCS reduction characteristics in the range of 13-23GHz, and the RCS reduction values are all over 10dB.

为验证超表面的双站RCS减缩特性,对远区散射场进行仿真,得到超表面的3D散射方向图。图11分别给出了等尺寸理想金属板、线性相位梯度超表面和单螺旋循环编码超表面在15.2、18.2和22GHz处的远区3D散射方向图。可以看出,与金属板的镜像强散射相比,单螺旋循环编码超表面能完美地将反射电磁波均匀打散在空间各个方向上,散射能量在各角度上得到了最大平滑和均一化。实现了良好的均匀漫反射特性,而线性相位梯度超表面的散射波主要分布于3个方向,对应于n=-1,n=0和n=+1三个散射模式,三个强散射模式的存在使得线性相位梯度超表面在该三个方向上极易被敌方雷达检测发现,不具有隐身特性。In order to verify the double-station RCS reduction characteristics of the metasurface, the far-region scattering field was simulated to obtain the 3D scattering pattern of the metasurface. Figure 11 presents the far-region 3D scattering patterns at 15.2, 18.2, and 22 GHz for an equal-sized ideal metal plate, a linear phase gradient metasurface, and a single-helix loop-encoding metasurface, respectively. It can be seen that, compared with the strong mirror scattering of the metal plate, the single-spiral cyclic encoding metasurface can perfectly uniformly disperse the reflected electromagnetic waves in all directions of space, and the scattered energy is maximally smooth and uniform in all angles. Good uniform diffuse reflection characteristics are achieved, and the scattered waves of the linear phase gradient metasurface are mainly distributed in three directions, corresponding to three scattering modes of n=-1, n=0 and n=+1, and three strong scattering modes The existence of , makes the linear phase gradient metasurface very easy to be detected by the enemy radar in these three directions, and has no stealth characteristics.

为解释本发明单螺旋循环编码超表面的均匀漫反射机理,图12给出了单螺旋循环编码超表面与线性相位梯度超表面在15.2G处的表面电流分布和电场分布。可以看出,单螺旋循环编码超表面比线性相位梯度超表面具有更加的碎片化、杂乱无章电流和近场分布,表明前者的散射一致等相位面被彻底破坏,解释并进一步验证了本发明超表面具有显著打散散射电磁波和均一化空间散射场的能力,而相反线性相位梯度超表面具有比较明显的等相位面,解释了空间特定方向上的强散射。In order to explain the uniform diffuse reflection mechanism of the single helical cyclic encoding metasurface of the present invention, Fig. 12 shows the surface current distribution and electric field distribution of the single helical cyclic encoding metasurface and the linear phase gradient metasurface at 15.2G. It can be seen that the single-spiral cyclic encoding metasurface has more fragmentation, disordered current and near-field distribution than the linear phase gradient metasurface, indicating that the uniform scattering iso-phase surface of the former is completely destroyed, which explains and further verifies the metasurface of the present invention. It has the ability to significantly disperse scattered electromagnetic waves and homogenize the spatial scattering field, while the linear phase gradient metasurface has a relatively obvious isophase surface, explaining the strong scattering in a specific direction in space.

为进一步验证本发明方法打散电磁波和实现超宽带RCS缩减的能力,加工了一块面积为288×288mm2的单螺旋循环编码超表面样品并在微波暗室中对其散射强度进行了测量。由于被测频段较宽,采用两组共组于不同频段的线极化喇叭对样品的散射强度进行测试。第一组线极化收发喇叭工作于10-18GHz,第二组线极化收发喇叭工作于18-26GHz。测试时发射、接收喇叭与待测样品置于同一高度。另外,为衡量超表面在大角度入射情形下RCS减缩的鲁棒性,对样品在不同角度斜入射时的散射波也进行了测试。测试结果如图13所示,可以看出0°、30°和60°入射情形下仿真结果与测试结果均吻合良好,所有情形下,超表面均能很好实现宽带RCS缩减。当入射角为0°时,螺旋编码超表面的10dB RCS缩减仿真带宽为13-23GHz,测试带宽为12.2-23.4GHz;入射角为30°时,10dB仿真带宽为13-23.2GHz,测试带宽为11-23GHz;入射角为60°时,RCS减缩性能有所下降,但均满足8.7dB且仿真带宽达13.2-23.2GHz,测试带宽达到12-23GHz。综上所述,螺旋编码超表面在宽角度(最高可达60°)入射情况下,依然具有很好的RCS缩减特性。In order to further verify the ability of the method of the present invention to disperse electromagnetic waves and realize ultra-broadband RCS reduction, a single-spiral loop-encoded metasurface sample with an area of 288×288 mm 2 was fabricated and its scattering intensity was measured in a microwave anechoic chamber. Due to the wide frequency band to be measured, two groups of linearly polarized speakers in different frequency bands were used to test the scattering intensity of the sample. The first group of linear polarization transceiver speakers work at 10-18GHz, and the second group of linear polarization transceiver speakers work at 18-26GHz. During the test, the transmitter and receiver speakers are placed at the same height as the sample to be tested. In addition, in order to measure the robustness of the RCS reduction of the metasurface under large-angle incidence, the scattered waves of the sample under oblique incidence at different angles were also tested. The test results are shown in Fig. 13. It can be seen that the simulation results are in good agreement with the test results under the 0°, 30° and 60° incident cases. In all cases, the metasurface can well achieve broadband RCS reduction. When the incident angle is 0°, the 10dB RCS reduction simulation bandwidth of the helical encoding metasurface is 13-23GHz, and the test bandwidth is 12.2-23.4GHz; when the incident angle is 30°, the 10dB simulation bandwidth is 13-23.2GHz, and the test bandwidth is 11-23GHz; when the incident angle is 60°, the RCS reduction performance decreases, but both meet 8.7dB and the simulation bandwidth reaches 13.2-23.2GHz, and the test bandwidth reaches 12-23GHz. In summary, the helical encoding metasurface still has good RCS reduction properties under wide-angle (up to 60°) incidence.

图14和图15给出了电磁波垂直入射时

Figure BDA0001357776730000071
Figure BDA0001357776730000072
平面内的双站RCS仿真曲线图。可以看出,
Figure BDA0001357776730000073
面内线性相位梯度超表面的最高副瓣值出现在-31.5°,为6.49dB,而螺旋编码超表面的最高副瓣值出现在+34°,为4.89dB,峰值缩减1.6dB;
Figure BDA0001357776730000074
面内线性相位梯度超表面的最高副瓣值出现在+36.5°,为6.16dB,而螺旋编码超表面的最高副瓣出现在+34°,为3.35dB,峰值缩减为2.81dB。Figures 14 and 15 show that the electromagnetic waves are incident vertically
Figure BDA0001357776730000071
and
Figure BDA0001357776730000072
Two-station RCS simulation plot in plane. As can be seen,
Figure BDA0001357776730000073
The highest sidelobe value of the in-plane linear phase gradient metasurface appears at -31.5°, which is 6.49dB, while the highest sidelobe value of the helical encoding metasurface appears at +34°, which is 4.89dB, and the peak value is reduced by 1.6dB;
Figure BDA0001357776730000074
The highest sidelobe value of the in-plane linear phase gradient metasurface appears at +36.5° with 6.16dB, while the highest sidelobe value of the helical-encoded metasurface appears at +34° with 3.35dB, with a peak reduction of 2.81dB.

综上,近场分布、远场散射方向图与RCS减缩频谱均显示单螺旋循环编码超表面的超宽带、极化不敏感RCS减缩特性和均匀打散电磁波能力,上述特性和能力在超过60°的大入射角情形下依旧保持的很好。相比于随机编码超表面的耗时优化设计,单螺旋循环编码超表面设计简单、效果明显、对极化和入射角具有很好的鲁棒性、无需优化,具有固有打散电磁波的能力,在未来电磁隐身领域具有重要潜在应用价值。To sum up, the near-field distribution, far-field scattering pattern and RCS reduced spectrum all show the ultra-wideband, polarization-insensitive RCS reduction characteristics and the ability to uniformly disperse electromagnetic waves of the single helical cyclic coding metasurface. It still maintains very well in the case of large incident angles. Compared with the time-consuming optimization design of random encoding metasurfaces, the single-spiral cyclic encoding metasurfaces are simple in design, have obvious effects, have good robustness to polarization and incident angle, do not require optimization, and have the inherent ability to disperse electromagnetic waves. It has important potential application value in the field of electromagnetic stealth in the future.

Claims (3)

1.一种超宽带、极化不敏感螺旋编码RCS减缩超表面,其特征在于,为二维有限尺寸结构,由8×8个具有不同梯度方向的8种线性超单元按螺旋序列排列而成;所述8种线性超单元的梯度方向分别为0°、45°、90°、135°、180°、225°、270°和315°,对应的各超单元依次编号为1、2、3、4、5、6、7和8;每个线性超单元为二维有限尺寸结构,由6×6个具有不同尺寸的6种人工电磁结构单元按线性梯度构成,均完全覆盖360°,相位梯度为60°;所述螺旋序列为由外而内的单螺旋循环排列方式,即1234567812345678……,数字编号代表对应梯度方向的线性超单元;所述人工电磁结构单元为一种旋转对称反射结构,由上层内部闭合环即谐振环和外部耶路撒冷金属结构、中层介质板和底层金属铜板组成;1. An ultra-wideband, polarization-insensitive helical encoding RCS reduction metasurface, characterized in that it is a two-dimensional finite-size structure, formed by 8 × 8 8 linear superunits with different gradient directions arranged in a helical sequence ; The gradient directions of the 8 linear super-units are 0°, 45°, 90°, 135°, 180°, 225°, 270° and 315°, respectively, and the corresponding super-units are sequentially numbered 1, 2, 3 , 4, 5, 6, 7, and 8; each linear superunit is a two-dimensional finite-size structure, composed of 6×6 6 artificial electromagnetic structural units with different sizes according to a linear gradient, all of which completely cover 360°, and the phase The gradient is 60°; the helical sequence is a single helix cyclic arrangement from outside to inside, namely 1234567812345678..., the number number represents the linear superunit corresponding to the gradient direction; the artificial electromagnetic structural unit is a rotationally symmetrical reflection structure , which consists of the upper inner closed ring, namely the resonant ring, the outer Jerusalem metal structure, the middle layer dielectric plate and the bottom metal copper plate; 记人工电磁结构单元的大小尺寸为a,所述上层金属结构中,内部谐振环和外部耶路撒冷结构的金属条宽度为d,谐振环的大小尺寸为a/2,介质板厚度为b,底层金属铜板厚度为c;单元周期为p。Denote the size of the artificial electromagnetic structure unit as a, in the upper metal structure, the width of the metal strips of the inner resonant ring and the outer Jerusalem structure is d, the size of the resonant ring is a/2, the thickness of the dielectric plate is b, and the bottom metal The copper plate thickness is c; the unit period is p. 2.根据权利要求1所述的超宽带、极化不敏感螺旋编码RCS减缩超表面,其特征在于,单元周期p=6mm,介质板厚度b=2mm,相对介电常数为4.3,谐振环和耶路撒冷结构的金属条宽度d=0.2mm;底层金属铜板厚度为0.036mm;超单元由6种不同尺寸a的单元组成,相位梯度在f0=15GHz处,相位梯度为60°,6种单元对应的相位分别为0°、60°、120°、180°、240°和300°,达到了0°到360°相位覆盖;6种不同单元的结构尺寸a分别为4.62mm,3.95mm,3.36mm,3.04mm,2.78mm,2.3mm。2. The ultra-wideband, polarization-insensitive helical encoding RCS reduction metasurface according to claim 1, characterized in that, the unit period p=6mm, the thickness of the dielectric plate b=2mm, the relative permittivity is 4.3, the resonant ring and The metal strip width of the Jerusalem structure is d=0.2mm; the thickness of the underlying metal copper plate is 0.036mm; the supercell is composed of 6 units of different sizes a, the phase gradient is at f 0 =15GHz, the phase gradient is 60°, and the 6 types of units correspond to The phases are 0°, 60°, 120°, 180°, 240° and 300°, respectively, reaching 0° to 360° phase coverage; the structural dimensions a of the 6 different units are 4.62mm, 3.95mm, and 3.36mm, respectively. , 3.04mm, 2.78mm, 2.3mm. 3.如权利要求1所述超宽带、极化不敏感螺旋编码RCS减缩超表面的设计方法,其特征在于,具体步骤如下:3. the design method of ultra-wideband as claimed in claim 1, polarization-insensitive helical coding RCS reduction metasurface, is characterized in that, concrete steps are as follows: 第一步:宽带、极化不敏感、亚波长超表面单元设计:Step 1: Broadband, polarization-insensitive, subwavelength metasurface element design: 设计的基本理论依据是由系列单元构成超表面的群集响应继承单元的宽带、极化不敏感特性;要想获得极化不敏感特性,单元必须具有四周旋转对称特性;同时为获得宽频特性,单元反射幅度必须近1,相位响应在很宽频率范围内线性度好、品质因数低;The basic theoretical basis of the design is that the cluster response of the metasurface composed of a series of units inherits the broadband and polarization-insensitive characteristics of the unit; in order to obtain the polarization-insensitive characteristic, the unit must have the characteristic of rotational symmetry around it; at the same time, in order to obtain the broadband characteristic, the unit The reflection amplitude must be close to 1, and the phase response has good linearity and low quality factor over a wide frequency range; 据此,首先设计由内部矩形谐振环和外部耶路撒冷十字金属结构组成的多模反射单元结构,整个单元由上层金属结构、中层介质板和底层金属地板组成,通过上层金属结构和地板的耦合提供谐振于不同频率的多个磁谐振模式,利用多模级联思想打开单元在边缘频率处的相位,提高单元相位的线性度和随结构参数的相位变化范围,从而最终达到拓展单元工作带宽的目的;同时由于单元具有旋转对称特性,单元电磁响应还具有极化不敏感特性;According to this, a multi-mode reflective unit structure consisting of an inner rectangular resonant ring and an outer Jerusalem cross metal structure is first designed. The whole unit consists of an upper metal structure, a middle dielectric plate and a bottom metal floor, and the resonance is provided through the coupling of the upper metal structure and the floor. For multiple magnetic resonance modes of different frequencies, the multi-mode cascade idea is used to open the phase of the unit at the edge frequency, so as to improve the linearity of the unit phase and the phase variation range with the structural parameters, so as to finally achieve the purpose of expanding the working bandwidth of the unit; At the same time, due to the rotational symmetry of the unit, the electromagnetic response of the unit also has the characteristic of polarization insensitivity; 为使单元相位特性达到最宽,利用商业仿真软件CST对单元结构参数进行优化,使得各谐振模式合理级联;最终单元周期为p=6mm,介质板为厚度为2mm、相对介电常数4.3、电损耗正切0.001的环氧玻璃布板,谐振环和耶路撒冷结构的宽度为d=0.2mm;通过改变整个金属结构尺寸a而保持其他参数不变来获得各单元所需相位梯度;最终超单元由6种不同尺寸a的单元组成,相位梯度设计在f0=15GHz处,相位梯度为60°,6种单元对应的相位分别为0°、60°、120°、180°、240°和300°,达到了0°到360°相位覆盖;选取6种单元的尺寸a,使得各单元的相位特性曲线在f0处具有完美的平行度;最终确定的6种不同单元的结构尺寸分别为a=4.62mm、3.95mm、3.36mm、3.04mm、2.78mm和2.3mm;In order to maximize the phase characteristics of the unit, the commercial simulation software CST is used to optimize the unit structure parameters, so that each resonance mode is reasonably cascaded; the final unit period is p=6mm, the thickness of the dielectric plate is 2mm, the relative permittivity is 4.3, The epoxy glass cloth plate with electrical loss tangent of 0.001, the width of the resonant ring and the Jerusalem structure is d=0.2mm; the required phase gradient of each unit is obtained by changing the size a of the entire metal structure and keeping other parameters unchanged; the final superunit is composed of It consists of 6 units of different sizes a, the phase gradient is designed at f 0 =15GHz, the phase gradient is 60°, and the corresponding phases of the 6 units are 0°, 60°, 120°, 180°, 240° and 300°, respectively. , the phase coverage from 0° to 360° is achieved; the size a of 6 kinds of units is selected, so that the phase characteristic curves of each unit have perfect parallelism at f 0 ; 4.62mm, 3.95mm, 3.36mm, 3.04mm, 2.78mm and 2.3mm; 第二步:基于广义Snell反射定律的8种超单元设计:The second step: 8 kinds of supercell designs based on the generalized Snell reflection law: 根据广义Snell反射定律,当入射波以角度θi入射到超表面时反射主波束的俯仰角θr和方位角
Figure FDA00022409336300000212
由下式决定:
According to the generalized Snell reflection law, when the incident wave is incident on the metasurface at angle θi , the pitch angle θr and azimuth angle of the reflected main beam are
Figure FDA00022409336300000212
It is determined by the following formula:
Figure FDA0002240933630000021
Figure FDA0002240933630000021
Figure FDA0002240933630000022
Figure FDA0002240933630000022
其中
Figure FDA0002240933630000023
是入射电磁波在真空中的波失,
Figure FDA0002240933630000024
分别为二维平面上x、y方向的相位梯度,
Figure FDA0002240933630000025
分别为x、y方向上相邻单元之间的相位差,p为单元周期;上式表明通过合理设计x、y方向上的相位梯度,可以任意操控超表面的梯度波矢ka,通过操控ka可以进一步任意操控反射波束的偏折方向即波束指向;
in
Figure FDA0002240933630000023
is the wave loss of the incident electromagnetic wave in vacuum,
Figure FDA0002240933630000024
are the phase gradients in the x and y directions on the two-dimensional plane, respectively,
Figure FDA0002240933630000025
are the phase differences between adjacent units in the x and y directions, respectively, and p is the unit period; the above formula shows that by reasonably designing the phase gradients in the x and y directions, the gradient wave vector ka of the metasurface can be manipulated arbitrarily. ka can further arbitrarily control the deflection direction of the reflected beam, that is, the beam pointing;
据此,分别设计一维梯度超单元和二维梯度超单元:一维梯度超单元中,相位梯度仅存在于x方向且
Figure FDA0002240933630000026
为60°,y方向
Figure FDA0002240933630000027
为0°,此时梯度方向为x方向;二维梯度超单元中,相位梯度同时存在于x、y方向,且
Figure FDA0002240933630000028
Figure FDA0002240933630000029
均为60°,此时梯度方向为
Figure FDA00022409336300000210
方向;通过对上述一维、二维超单元分别进行90°、180°和270°旋转,生成另外6种梯度方向不同的超单元,最终获得的8种超单元,其梯度方向
Figure FDA00022409336300000211
分别为0°,45°,90°,135°,180°,225°,270°和315°,对应的各超单元依次编号为1、2、3、4、5、6、7和8,达到梯度方向在二维平面内的360°覆盖;
Accordingly, a 1D gradient superunit and a 2D gradient superunit are designed respectively: in a 1D gradient superunit, the phase gradient only exists in the x direction and
Figure FDA0002240933630000026
is 60°, y direction
Figure FDA0002240933630000027
is 0°, and the gradient direction is the x direction; in the two-dimensional gradient superunit, the phase gradient exists in the x and y directions at the same time, and
Figure FDA0002240933630000028
and
Figure FDA0002240933630000029
Both are 60°, and the gradient direction is
Figure FDA00022409336300000210
Orientation; by rotating the above one-dimensional and two-dimensional superunits by 90°, 180°, and 270° respectively, another 6 superunits with different gradient directions are generated, and finally 8 superunits are obtained, whose gradient directions are
Figure FDA00022409336300000211
They are 0°, 45°, 90°, 135°, 180°, 225°, 270° and 315°, respectively, and the corresponding super-units are numbered 1, 2, 3, 4, 5, 6, 7, and 8. Achieve 360° coverage of the gradient direction in a two-dimensional plane;
第三步:宽带、极化不敏感螺旋编码RCS减缩超表面的建模设计:Step 3: Modeling and design of broadband, polarization-insensitive helical encoding RCS reduction metasurfaces: 基于第一步的超表面单元设计和第二步的8种超单元设计,第三步则是如何合理利用8种超单元构建RCS减缩超表面;Based on the metasurface element design in the first step and the 8 kinds of superelement designs in the second step, the third step is how to rationally use the 8 kinds of superelements to construct the RCS reduced metasurface; 首先,确定超表面的尺寸,也即超单元的数量;这里超表面采用方形布局,即x、y方向的超单元数量L和M相同;综合衡量计算时间、样品制作成本与超表面有限尺寸对RCS减缩特性的影响,设计超表面中超单元的数量为L×M=8×8,尺寸为288×288mm2First, determine the size of the metasurface, that is, the number of superunits; here, the metasurface adopts a square layout, that is, the number of superunits L and M in the x and y directions are the same; comprehensively measure the calculation time, sample production cost and the finite size of the metasurface. Influenced by the reduction characteristics of RCS, the number of superunits in the designed metasurface is L×M=8×8, and the size is 288×288mm 2 ; 其次,确定编码序列,即8种超单元的排列方式:为最大程度上打散入射电磁波,减小目标在各给角度上的散射强度从而降低双站RCS检测下的雷达发现几率,超表面中任意相邻超单元的梯度方向各异;据此,设计由外而内的单螺旋循环排列方式:1234567812345678……;即:12345678-1234567-8123456-781234-567812-34567-81234-5678-1234-567-812-34-56-7-8;其中,“-”表示螺旋转折处,数字代表对应梯度方向的不同超单元,这种排列方式设计的超表面保证任意相邻超单元的梯度方向各异,从而可以最大限度破坏超表面一致散射的等相位面,达到最大限度打散电磁波的目的;Secondly, determine the coding sequence, that is, the arrangement of the 8 super-units: in order to disperse the incident electromagnetic waves to the greatest extent, reduce the scattering intensity of the target at each given angle, and thus reduce the radar detection probability under the double-station RCS detection, the super-surface in the The gradient directions of any adjacent superunits are different; accordingly, a single helical cyclic arrangement from the outside to the inside is designed: 1234567812345678… 567-812-34-56-7-8; in which, "-" represents the turning point of the spiral, and the numbers represent different superunits corresponding to the gradient directions. The metasurface designed in this arrangement ensures that the gradient directions of any adjacent superunits are different. Therefore, the iso-phase surface of the uniform scattering of the metasurface can be destroyed to the greatest extent, and the purpose of dispersing electromagnetic waves to the greatest extent can be achieved; 最后,根据超单元和超单元单螺旋循环排列方式并通过寻根算法,在CST中利用VBA宏建立螺旋编码超表面结构。Finally, according to the cyclic arrangement of superunits and single helixes of superunits and through the root-finding algorithm, a helical-encoded metasurface structure was established in CST using VBA macros.
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Ultra-wideband RCS reduction using novel configured chessboard metasurface;Zhuang yaqiang等;《Chinese Physics》;20170531;该文全文 *
一种编码式宽带多功能反射屏;陈巍等;《物理学报》;20170307;第064203-1-064203-7页 *

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